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Journal articles on the topic 'Confined flow heated from below'

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Author: Grafiati

Published: 11 March 2023

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1

Joo Sik Yoo, Moon-Uhn Kim, and Do H. Choi. "Convective instability of a fluid layer confined in a vertical annulus heated from below." International Journal of Heat and Mass Transfer 31, no. 11 (November 1988): 2285–90. http://dx.doi.org/10.1016/0017-9310(88)90160-3.

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2

Koizumi, Hiroyoshi. "Flow pattern formation and the transition to chaos in a confined container heated locally from below." International Journal of Thermal Sciences 46, no. 10 (October 2007): 953–62. http://dx.doi.org/10.1016/j.ijthermalsci.2006.12.001.

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3

Yang, K. T. "Transitions and Bifurcations in Laminar Buoyant Flows in Confined Enclosures." Journal of Heat Transfer 110, no. 4b (November 1, 1988): 1191–204. http://dx.doi.org/10.1115/1.3250620.

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Recent advances in experimental and numerical studies of flow instability, bifurcation, and transition to turbulence for buoyant flow in three-dimensional rectangular enclosures heated from below and from the sides are reviewed, with emphasis on the physical causes of various instabilities and bifurcations as well as the observed and calculated routes to chaotic motions. Also discussed are the current successes and shortcomings of numerical simulations of experimental data and observations. Finally, unresolved critical issues and needs for future research are also addressed.

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4

Poulikakos, D. "Natural Convection in a Confined Fluid-Filled Space Driven by a Single Vertical Wall With Warm and Cold Regions." Journal of Heat Transfer 107, no. 4 (November 1, 1985): 867–76. http://dx.doi.org/10.1115/1.3247515.

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This paper reports heat and fluid flow results which describe the phenomenon of natural convection in an enclosure heated and cooled along a single vertical wall. In the first part of the paper, the case where the side-heating effect is positioned above the side-cooling effect is considered. Numerical simulations and scale analysis show that the temperature field in this configuration transforms from one of incomplete vertical penetration to one of incomplete horizontal penetration depending on the values of the Rayleigh number based on the enclosure height (Ra) and the height-to-length aspect ratio of the enclosure (H/L). The heat transfer scales differ substantially from one type of penetrative convection to the other in agreement with the numerical findings. The parametric domain of validity of the conclusions of this part of the study is outlined on the H/L-Ra plane. When the heated portion of the driving side wall is positioned below the cooled portion the flow spreads throughout the cavity. This configuration results in an enhancement of the overall heat transfer through the enclosure.

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5

Kessler, R. "Nonlinear transition in three-dimensional convection." Journal of Fluid Mechanics 174 (January 1987): 357–79. http://dx.doi.org/10.1017/s0022112087000168.

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Steady and oscillatory convection in a rectangular box heated from below are studied by means of a numerical solution of the three-dimensional, time-dependent Boussinesq equations. The effect of the rigid sidewalls of the box on the spatial structure and the dynamical behaviour of the flow is analysed. Both conducting and adiabatic sidewalls are considered. Calculated streamlines illustrate the three-dimensional structure of the steady flow with Prandtl numbers 0.71 and 7. The onset and the frequency of the oscillatory instability are calculated and compared with available experimental and theoretical data. With increasing Rayleigh number a subharmonic bifurcation and the onset of a quasi-periodic flow can be observed. A comparison of the different time-dependent solutions shows some interesting relations between the spatial structure and the dynamical behaviour of the confined flow.

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6

Ferahta, Fatima Zohra, and Cherifa Abid. "Effect of Coupling Radiation Convection on Heat Transfer in the air gap of a Solar Collector." MATEC Web of Conferences 330 (2020): 01018. http://dx.doi.org/10.1051/matecconf/202033001018.

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In order to study the effect of convection-radiation coupling occurring in the air gap of a solar thermal collector, numerical simulations were conducted for various thicknesses of the air gap with and without radiation. The studied geometry is a closed cavity which represents the confined space between the absorber and the glass. The cavity is inclined at an angle equal to 45 ° and is uniformly heated from below. The flow is three-dimensional and in unsteady state. First, the simulations were conducted considering only convection in the air gap, in this case the radiation is neglected and in a second time, the coupling between convection and radiation was taken onto account. In the first case the results show that the increase of the air-gap thickness leads to an intensification of the natural convection which develops from laminar, chaotic to turbulent regime. When the radiation is taken into account, the results show that the flow regimes are substantially modified, the convection-radiation coupling reduces the temperature of the hot wall, which contributes to the reduction of the intensity of natural convection in the cavity. This observation is verified by the evolution of the temperature field at the absorber and the heat exchange coefficient. So in conclusion, this study allowed us to see the evolution of heat transfer in the air layer between the glass and the absorber, in the absence and in the presence of radiation. Taking into account the radiation in the cavity is essential for the modeling of flows in a cavity (which is often neglected).

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7

Kvarving, Arne Morten, Tormod Bjøntegaard, and Einar M. Rønquist. "On Pattern Selection in Three-Dimensional Bénard-Marangoni Flows." Communications in Computational Physics 11, no. 3 (March 2012): 893–924. http://dx.doi.org/10.4208/cicp.280610.060411a.

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AbstractIn this paper we study Bénard-Marangoni convection in confined containers where a thin fluid layer is heated from below. We consider containers with circular, square and hexagonal cross-sections. For Marangoni numbers close to the critical Marangoni number, the flow patterns are dominated by the appearance of the well-known hexagonal convection cells. The main purpose of this computational study is to explore the possible patterns the system may end up in for a given set of parameters. In a series of numerical experiments, the coupled fluid-thermal system is started with a zero initial condition for the velocity and a random initial condition for the temperature. For a given set of parameters we demonstrate that the system can end up in more than one state. For example, the final state of the system may be dominated by a steady convection pattern with a fixed number of cells, however, the same system may occasionally end up in a steady pattern involving a slightly different number of cells, or it may end up in a state where most of the cells are stationary, while one or more cells end up in an oscillatory state. For larger aspect ratio containers, we are also able to reproduce dislocations in the convection pattern, which have also been observed experimentally. It has been conjectured that such imperfections (e.g., a localized star-like pattern) are due to small irregularities in the experimental setup (e.g., the geometry of the container). However, we show, through controlled numerical experiments, that such phenomena may appear under otherwise ideal conditions. By repeating the numerical experiments for the same non-dimensional numbers, using a different random initial condition for the temperature in each case, we are able to get an indication of how rare such events are. Next, we study the effect of symmetrizing the initial conditions. Finally, we study the effect of selected geometry deformations on the resulting convection patterns.

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8

Maughan, J. R., and F. P. Incropera. "Secondary flow in horizontal channels heated from below." Experiments in Fluids 5, no. 5 (1987): 334–43. http://dx.doi.org/10.1007/bf00277712.

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9

Prasad, V., F. C. Lai, and F. A. Kulacki. "Mixed Convection in Horizontal Porous Layers Heated From Below." Journal of Heat Transfer 110, no. 2 (May 1, 1988): 395–402. http://dx.doi.org/10.1115/1.3250498.

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Numerical studies are reported for steady, mixed convection in two-dimensional horizontal porous layers with localized heating from below. The interaction mechanism between the forced flow and the buoyant effects is examined for wide ranges of Rayleigh number Ra* and Peclet number Pe*. The external flow significantly perturbs the buoyancy-induced temperature and flow fields when Pe* is increased beyond unity. For a fixed Peclet number, an increase in Rayleigh number produces multicellular recirculating flows in a domain close to the heat source. This enhances heat transfer by free convection. However, for a fixed Ra*, an increase in forced flow or Peclet number does not necessarily increase the heat transfer rate. Hence, there exists a critical Peclet number as a function of Ra* for which the overall Nusselt number is minimum. The heat transfer is, generally, dominated by the buoyant flows for Pe* < 1 whereas the contribution of free convection is small for Pe* > 10 when Ra* ≤ 10.

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10

Xia, Chunmei, and Jayathi Y. Murthy. "Buoyancy-Driven Flow Transitions in Deep Cavities Heated From Below." Journal of Heat Transfer 124, no. 4 (July 16, 2002): 650–59. http://dx.doi.org/10.1115/1.1481356.

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A numerical investigation has been conducted of flow transitions in deep three-dimensional cavities heated from below. The first critical Rayleigh number, RaI, below which the flow is at rest, and the second critical Rayleigh number, RaII, for transition from steady state to oscillatory flow, have been found for cavities of aspect ratios Ar in the range 1–5. Transition to chaos has also been examined for these cases. The results show that RaI=3583,2.545×104 and 5.5×105 and RaII=4.07×105,1.65×106 and 1.30×107 for aspect ratios of 1, 2, and 5 respectively. The route to chaos is PPeriodic→QP2(Quasi-periodic with two incommensurate frequencies)→QP3(Quasi-periodic with three incommensurate frequencies)→NChaotic for Ar=1 with the Rayleigh number varying from 4.07×105 to 4.89×105. The route is PPeriodic→P2(Periodic doubling)→I(Intermittent)→P(Periodic)→N(Chaotic) for Ar=2 over a Ra range of 1.65×106 to 1.83×106. The interval between periodic and chaotic flow is very short for Ar=5.

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11

Laidoudi, Houssem, and Mohamed Bouzit. "Mixed convection in poiseuille fluid from an asymmetrically confined heated circular cylinder." Thermal Science 22, no. 2 (2018): 821–34. http://dx.doi.org/10.2298/tsci160424172l.

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This paper examines the effects of thermal buoyancy on momentum and heat transfer characteristics of symmetrically and asymmetrically confined cylinder submerged in incompressible Poiseuille liquid. The detailed flow and temperature fields are visualized in term of streamlines and isotherm contours. The numerical results have been presented and discussed for the range of conditions as 10 ? Re ? ? 40, Richardson number 0 ? Ri ? 4, and eccentricity factor 0 ? ? ? 0.7 at Prandtl number Pr = 1, and blockage ratio B = 20%. The representative streamlines and isotherm patterns are presented to interpret the flow and thermal transport visu?alization. When the buoyancy is added, it is observed that the flow separation di?minishes gradually and at some critical value of the thermal buoyancy parameter it completely disappears resulting a creeping flow. Additionally, it is observed that the down vortex requires more heating in comparison to upper vortex in order to be suppressed. In the range 1.5 ? Ri ? 4, two counter rotating regions appear above the cylinder and on the down channel wall behind the cylinder. The total drag coefficient, CD, increases with increasing Richardson number at (? = 0). Moreover, an increase in eccentricity factor from 0 to 0.3 increases CD by 37% at Re = 10, and 30% at Re = 20 for Ri = 4. An increase in eccentricity factor form 0 to 0.4 increases local Nusselt number by 20.4% at Re = 10, and 18.6% at Re = 30 for Ri = 4.

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12

Mahfoud, B., H. Benhacine, A. Laouari, and A. Bendjaghlouli. "Magnetohydrodynamic Effect on Flow Structures Between Coaxial Cylinders Heated from Below." Journal of Thermophysics and Heat Transfer 34, no. 2 (April 2020): 265–74. http://dx.doi.org/10.2514/1.t5805.

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13

SEZAI, I. "Flow patterns in a fluid-saturated porous cube heated from below." Journal of Fluid Mechanics 523 (January 25, 2005): 393–410. http://dx.doi.org/10.1017/s0022112004002137.

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14

Torregrosa, A. J., S. Hoyas, M. J. Pérez-Quiles, and J. M. Mompó-Laborda. "Bifurcation Diversity in an Annular Pool Heated from Below: Prandtl and Biot Numbers Effects." Communications in Computational Physics 13, no. 2 (February 2013): 428–41. http://dx.doi.org/10.4208/cicp.090611.170212a.

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AbstractIn this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability method. The fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer wall. The top surface is open to the atmosphere and both lateral walls are adiabatic. Using the Rayleigh number as the only control parameter, many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot number. Several regions on the Prandtl-Biot plane are identified, their boundaries being formed from competing solutions at codimension-two bifurcation points.

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15

DANIELS, P. G. "On the boundary layer structure of differentially heated cavity flow in a stably stratified porous medium." Journal of Fluid Mechanics 586 (August 14, 2007): 347–70. http://dx.doi.org/10.1017/s0022112007007100.

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This paper considers two-dimensional flow generated in a stably stratified porous medium by monotonic differential heating of the upper surface. For a rectangular cavity with thermally insulated sides and a constant-temperature base, the flow near the upper surface in the high-Darcy–Rayleigh-number limit is shown to consist of a double horizontal boundary layer structure with descending motion confined to the vicinity of the colder sidewall. Here there is a vertical boundary layer structure that terminates at a finite depth on the scale of the outer horizontal layer. Below the horizontal boundary layers the motion consists of a series of weak, uniformly stratified counter-rotating convection cells. Asymptotic results are compared with numerical solutions for the cavity flow at finite values of the Darcy–Rayleigh number.

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16

OKANO, Haruma, Kousuke MAEDA, and Genta KAWAHARA. "1516 Turbulent heat transfer in horizontal Couette-Poiseuille flow heated from below." Proceedings of the Fluids engineering conference 2015 (2015): _1516–1_—_1516–3_. http://dx.doi.org/10.1299/jsmefed.2015._1516-1_.

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17

Kaloni, P. N., and Zongchun Qiao. "On the nonlinear stability of thermally driven shear flow heated from below." Physics of Fluids 8, no. 2 (February 1996): 639–41. http://dx.doi.org/10.1063/1.868847.

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18

Mohamad, A., and R. Viskanta. "Flow and thermal structures in a lid-driven cavity heated from below." Fluid Dynamics Research 12, no. 3 (September 1993): 173–84. http://dx.doi.org/10.1016/0169-5983(93)90021-2.

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19

Puigjaner, D., J. Herrero, Francesc Giralt, and C. Simó. "Stability analysis of the flow in a cubical cavity heated from below." Physics of Fluids 16, no. 10 (October 2004): 3639–55. http://dx.doi.org/10.1063/1.1778031.

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20

Hussain, S., H. F. Öztop, M. Jamal, and N. A. Hamdeh. "Double diffusive nanofluid flow in a duct with cavity heated from below." International Journal of Mechanical Sciences 131-132 (October 2017): 535–45. http://dx.doi.org/10.1016/j.ijmecsci.2017.07.057.

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21

Mohamad, A. A., and R. Viskanta. "Stability of lid-driven shallow cavity heated from below." International Journal of Heat and Mass Transfer 32, no. 11 (November 1989): 2155–66. http://dx.doi.org/10.1016/0017-9310(89)90122-1.

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22

Rosenberg, N. D., and F. J. Spera. "Thermohalin≐ convection in a porous medium heated from below." International Journal of Heat and Mass Transfer 35, no. 5 (May 1992): 1261–73. http://dx.doi.org/10.1016/0017-9310(92)90183-s.

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23

Kek, V., and U. Müller. "Low Prandtl number convection in layers heated from below." International Journal of Heat and Mass Transfer 36, no. 11 (July 1993): 2795–804. http://dx.doi.org/10.1016/0017-9310(93)90099-r.

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24

Shiina, Yasuaki, Kaoru Fujimura, Tomoaki Kunugi, and Norio Akino. "Natural convection in a hemispherical enclosure heated from below." International Journal of Heat and Mass Transfer 37, no. 11 (July 1994): 1605–17. http://dx.doi.org/10.1016/0017-9310(94)90176-7.

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25

Kaneda, Masayuki, Toshio Tagawa, and Hiroyuki Ozoe. "Convection Induced by a Cusp-Shaped Magnetic Field for Air in a Cube Heated From Above and Cooled From Below." Journal of Heat Transfer 124, no. 1 (June 12, 2001): 17–25. http://dx.doi.org/10.1115/1.1418369.

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Magnetizing force, which acts in a magnetic field of steep gradient, was applied to air in a cube heated from above and cooled from below, and with the four vertical walls thermally insulated. A four-poles magnet was installed to apply the cusp-shaped magnetic field to air in the cubic enclosure. A simple model equation was derived for magnetizing force and numerically computed for the system. Without a magnetic field, the conduction was stable, but under the magnetizing force a strong downward flow occurred from the center of the top heated plate and the average Nusselt number attained Nu=1.17 at Ra=105 and γ=0.5, which is equivalent to a temperature difference of 4 [°C] between the top and bottom walls under a maximum magnetic induction of 0.9 [T] inside a cube of 0.0643 [m3] heated from above. The flow visualization experiment with hot incense smoke proved the downward flow from the top hot plate.

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26

Glukhov, A. F., V. A. Demin, and G. F. Putin. "Binary-mixture convection in connected channels heated from below." Fluid Dynamics 42, no. 2 (April 2007): 160–69. http://dx.doi.org/10.1134/s0015462807020020.

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27

Abernathey, J. R., and F. Rosenberger. "Time-dependent convective instabilities in a closed vertical cylinder heated from below." Journal of Fluid Mechanics 160 (November 1985): 137–54. http://dx.doi.org/10.1017/s0022112085003421.

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The convective behaviour of xenon gas in a vertical thermally conducting cylinder (height/radius = 6) heated from below was investigated. Convectively induced temperature fluctuations in the gas were analysed with digital signal-processing techniques over a range of Rayleigh number 0 ≤ Ra [lsim ] 2300. Quiescent, steady-state, periodic and weakly turbulent convective regimes were characterized. Bistability of steady states (mode switching) was observed in the range 400 [lsim ] Ra [lsim ] 700. At Ra = 1550 a strictly periodic flow developed. With increasing Ra two additional incommensurate frequencies appeared, leading to ‘turbulence’ at Ra ≈ 2000. This turbulence, characterized by a broadband power spectrum, intermittently showed periodic flow. A periodic window with a period-doubling sequence appeared between 2100 [lsim ] Ra [lsim ] 2200. The spectral features of this sequence can be followed into the broad band noise at higher Ra. Although these experiments were conducted quasistatically, a strong hysteresis was observed with decreasing Ra. Furthermore, it was demonstrated that the sequence of convective regimes can be fundamentally altered by minor perturbations (self-heating) from the flow sensors.

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28

BRAGARD, J., J. PONTES, and M. G. VELARDE. "PATTERNS, DEFECTS, AND EVOLUTION OF BÉNARD–MARANGONI CELLS." International Journal of Bifurcation and Chaos 06, no. 09 (September 1996): 1665–71. http://dx.doi.org/10.1142/s0218127496001016.

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We consider a thin fluid layer of infinite horizontal extent, confined below by a rigid plane and open above to the ambient air, with surface tension linearly depending on the temperature. The fluid is heated from below. First we obtain the weakly nonlinear amplitude equations in specific spatial directions. The procedure yields a set of generalized Ginzburg–Landau equations. Then we proceed to the numerical exploration of the solutions of these equations in finite geometry, hence to the selection of cells as a result of competition between the possible different modes of convection.

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29

Chiu, Wilson K. S., Cristy J. Richards, and Yogesh Jaluria. "Flow structure and heat transfer in a horizontal converging channel heated from below." Physics of Fluids 12, no. 8 (August 2000): 2128–36. http://dx.doi.org/10.1063/1.870458.

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30

Kaiser, Ralf, and Wolf von Wahl. "Stability of plane parallel shear flow in a rotating layer heated from below." Calculus of Variations and Partial Differential Equations 6, no. 3 (March 1, 1998): 227–62. http://dx.doi.org/10.1007/s005260050090.

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31

Celli, Michele, Pedro V. Brandao, Leonardo S. de B. Alves, and Antonio Barletta. "Convective Instability in a Darcy Flow Heated from Below with Internal Heat Generation." Transport in Porous Media 112, no. 3 (March 15, 2016): 563–75. http://dx.doi.org/10.1007/s11242-016-0658-2.

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32

Tmartnhad, Ilham, Mustapha El Alami, Mostafa Najam, and Abdelaziz Oubarra. "Numerical investigation on mixed convection flow in a trapezoidal cavity heated from below." Energy Conversion and Management 49, no. 11 (November 2008): 3205–10. http://dx.doi.org/10.1016/j.enconman.2008.05.017.

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33

Kamiyo, Ola, and Adekojo Waheed. "Fluid Flow and Heat Transfer Characteristics of Clerestory-Shaped Attics Heated from Below." West Indian Journal of Engineering 45, no. 2 (January 2023): 50–56. http://dx.doi.org/10.47412/xiid6834.

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In this study, a finite volume analysis of the aerodynamics and heat transfer in attics of a clerestory roof design with pitch angles 14o, 18o, 30o and 45o and Rayleigh number range 3 x 105≤ Ra ≤ 2 x 107 is carried out. The shape of the enclosure has strong influence on the structure of the flow and temperature fields. The flow field is characterised by counter-rotating vortices enclosed by aerodynamic boundary layers. The size, strength and direction of rotation of the cells are controlled by the forces propelling the thermal plumes and the cold jets. The reduction of the number and size of the counter-rotating cells and their formation within the enclosures provide an analogous reduction of the total heat transfer rate as the roof pitch angle increases. The velocity and temperature profiles across midheight and midlength of the enclosures enable the prediction of appropriate position in the attic with the right condition to place sensitive items. On the heat transfer, the relationship between the mean Nusselt number and the Rayleigh number is presented in form of a correlation. Results obtained in the study are of significance to building engineers engaged in the analysis and design of building attics and tropical agriculturalists for the control of produce drying rates. Keywords: Heat transfer, heated below, natural convection, pitch roof, clerestory-shaped

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34

Holtzman, G. A., R. W. Hill, and K. S. Ball. "Laminar Natural Convection in Isosceles Triangular Enclosures Heated From Below and Symmetrically Cooled From Above." Journal of Heat Transfer 122, no. 3 (January 6, 2000): 485–91. http://dx.doi.org/10.1115/1.1288707.

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A numerical study of natural convection in an isosceles triangular enclosure with a heated horizontal base and cooled upper walls is presented. Nearly every previous study conducted on this subject to date has assumed that the geometric plane of symmetry is also a plane of symmetry for the flow. This problem is re-examined over aspect ratios ranging from 0.2 to 1.0 and Grashof numbers from 103 to 105. It is found that a pitchfork bifurcation occurs at a critical Grashof number for each of the aspect ratios considered, above which the symmetric solutions are unstable to finite perturbations and asymmetric solutions are instead obtained. Results are presented detailing the occurrence of the pitchfork bifurcation in each of the aspect ratios considered, and the resulting flow patterns are described. A flow visualization study is used to validate the numerical observations. Computed local and mean heat transfer coefficients are also presented and compared with results obtained when flow symmetry is assumed. Differences in local values of the Nusselt number between asymmetric and symmetric solutions are found to be more than 500 percent due to the shifting of the buoyancy-driven cells. [S0022-1481(00)02503-2]

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35

Bhadauria, B. S. "Effect of Modulation on Rayleigh-Benard Convection-II." Zeitschrift für Naturforschung A 58, no. 2-3 (March 1, 2003): 176–82. http://dx.doi.org/10.1515/zna-2003-2-316.

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The linear stability of a horizontal fluid layer, confined between two rigid walls, heated from below and cooled from above is considered. The temperature gradient between the walls consists of a steady part and a periodic part that oscillates with time. Only infinitesimal disturbances are considered. Numerical results for the critical Rayleigh number are obtained for various Prandtl numbers and for various values of the frequency. Some comparisons with known results have also been made.

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36

TANG, JIE, and H. H. BAU. "Experiments on the stabilization of the no-motion state of a fluid layer heated from below and cooled from above." Journal of Fluid Mechanics 363 (May 25, 1998): 153–71. http://dx.doi.org/10.1017/s0022112098008891.

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It is demonstrated experimentally that through the use of feedback control, it is possible to stabilize the no-motion (conductive) state of a fluid layer confined in a circular cylinder heated from below and cooled from above (the Rayleigh–Bénard problem), thereby postponing the transition from a no-motion state to cellular convection. The control system utilizes multiple sensors and actuators. The actuators consist of individually controlled heaters microfabricated on a silicon wafer which forms the bottom of the test cell. The sensors are diodes installed at the fluid's midheight. The sensors monitor the deviation of the fluid temperatures from preset, desired values and direct the actuators to act in such a way as to eliminate these deviations.

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37

Xiaoli, Zhang, T. Hung Nguyen, and René Kahawita. "Melting of ice in a porous medium heated from below." International Journal of Heat and Mass Transfer 34, no. 2 (February 1991): 389–405. http://dx.doi.org/10.1016/0017-9310(91)90259-h.

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38

Glukhov, A. F., and G. F. Putin. "Convection of magnetic fluids in connected channels heated from below." Fluid Dynamics 45, no. 5 (October 2010): 713–18. http://dx.doi.org/10.1134/s0015462810050042.

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39

Demin, V. A. "Vibrational Convection in an Inclined Fluid Layer Heated from Below." Fluid Dynamics 40, no. 6 (November 2005): 865–74. http://dx.doi.org/10.1007/s10697-006-0003-5.

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40

Shan, Li, Junhui Li, Binjian Ma, Xinyu Jiang, Baris Dogruoz, and Damena Agonafer. "Experimental investigation of evaporation from asymmetric microdroplets confined on heated micropillar structures." Experimental Thermal and Fluid Science 109 (December 2019): 109889. http://dx.doi.org/10.1016/j.expthermflusci.2019.109889.

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41

Walton, I. C. "The effect of a shear flow on convection in a layer heated non-uniformly from below." Journal of Fluid Mechanics 154 (May 1985): 303–19. http://dx.doi.org/10.1017/s0022112085001549.

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In an earlier paper (Walton 1982) we showed that, when a fluid layer is heated non-uniformly from below in such a way that the vertical temperature difference maintained across the layer is a slowly varying monotonic function of a horizontal coordinate x, then convection occurs for x > xc, where xc is the point where the local Rayleigh number is equal to the critical value for a uniformly heated layer. Furthermore, the amplitude of the convection increases smoothly from exponentially small values for x [Lt ] xc and asymptotes to a value given by Stuart–Watson theory for x [Gt ] xc.At the present time no solutions of this kind are available for a class of problems in which the onset of instability is heavily influenced by a shear flow (e.g. Görtler vortices in a boundary layer on a curved wall, convection in a heated Blasius boundary layer). In a first step to bridge the gap between these problems and in order to elucidate the difficulties associated with the presence of a shear flow, we investigate the effect of a (weak) shear flow on our earlier convection problem. We show that the onset of convection is delayed and that it appears more suddenly, but still smoothly. The role of horizontal diffusion is shown to be of paramount importance in enabling a solution of this kind to be found, and the implications of these results for instabilities in higher-speed shear flows are discussed.

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42

TANOUE, Kenichiro, Hirofumi ARIMA, Shinya MORIYAMA, Tsuneyuki SATO, Nobuyuki IMAISHI, and TomojiS MORITA. "Gas Flow and Heat Transfer Characteristics of a Horizontal Flow Channel Partially Heated from Below under Microgravity." Transactions of the Japan Society of Mechanical Engineers Series B 64, no. 624 (1998): 2608–14. http://dx.doi.org/10.1299/kikaib.64.2608.

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43

Sekimoto, A., G. Kawahara, K. Sekiyama, M. Uhlmann, and A. Pinelli. "Turbulence- and buoyancy-driven secondary flow in a horizontal square duct heated from below." Physics of Fluids 23, no. 7 (July 2011): 075103. http://dx.doi.org/10.1063/1.3593462.

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44

ISHIHARA, Kentaro, Hirochika TANIGAWA, and Katsuya HIRATA. "Frequency Response of Convective Flow in a Two-dimensional Square Cavity Heated from Below." Proceedings of Yamanashi District Conference 2002 (2002): 41–42. http://dx.doi.org/10.1299/jsmeyamanashi.2002.41.

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45

Bennacer, R., M. El Ganaoui, and E. Leonardi. "Symmetry breaking of melt flow typically encountered in a Bridgman configuration heated from below." Applied Mathematical Modelling 30, no. 11 (November 2006): 1249–61. http://dx.doi.org/10.1016/j.apm.2006.03.001.

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46

Prasad, V., K. Brown, and Q. Tian. "Flow visualization and heat transfer experiments in fluid-superposed packed beds heated from below." Experimental Thermal and Fluid Science 4, no. 1 (January 1991): 12–24. http://dx.doi.org/10.1016/0894-1777(91)90017-l.

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47

Bhowmick, Sidhartha, Suvash C. Saha, Manman Qiao, and Feng Xu. "Transition to a chaotic flow in a V-shaped triangular cavity heated from below." International Journal of Heat and Mass Transfer 128 (January 2019): 76–86. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2018.08.126.

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48

Choi, Chang Kyun, Tae Joon Chung, and Min Chan Kim. "Buoyancy effects in plane Couette flow heated uniformly from below with constant heat flux." International Journal of Heat and Mass Transfer 47, no. 12-13 (June 2004): 2629–36. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2003.12.010.

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49

Sahraoui, N. Mahfoud, Samir Houat, and Nawal Saidi. "Study of the Mixed Convection in a Horizontal Channel Heated from below." Applied Mechanics and Materials 789-790 (September 2015): 398–402. http://dx.doi.org/10.4028/www.scientific.net/amm.789-790.398.

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In this work, a contribution to the modeling and numerical simulation of mixed convection in a horizontal channel heated from below is presented. The lattice Boltzmann model with double thermal populations (TLBM) is used with the D2Q9 model for the dynamic field and D2Q5 for the thermal field. A comparison of the results obtained by the lattice Boltzmann model with those of the literature is presented for an area stretching ratio B = H / L = 20, a Reynolds number Re = 10, Rayleigh Ra = 104 and Peclet number Pe = 20/3. The streamlines and isotherms are presented for different periods of flow.

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50

Barletta, A., M. Celli, P. V. Brandão, and L. S. de B. Alves. "Wavepacket instability in a rectangular porous channel uniformly heated from below." International Journal of Heat and Mass Transfer 147 (February 2020): 118993. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2019.118993.

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