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1

Chartrand, Gary, Donald W. Vanderjagt, and Ping Zhang. "Homogeneously embedding stratified graphs in stratified graphs." Mathematica Bohemica 130, no. 1 (2005): 35–48. http://dx.doi.org/10.21136/mb.2005.134221.

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2

Chartrand, Gary, Heather Gavlas, Michael A. Henning, and Reza Rashidi. "Stratidistance in stratified graphs." Mathematica Bohemica 122, no. 4 (1997): 337–47. http://dx.doi.org/10.21136/mb.1997.126213.

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3

Hornung, J. "Stratified alternation, and alternative to stratified randomization?" British Homoeopathic journal 81, no. 2 (April 1992): 113–14. http://dx.doi.org/10.1016/s0007-0785(05)80541-1.

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4

Hornung, J. "Stratified alternation, an alternative to stratified randomization?" British Homoeopathic journal 80, no. 4 (October 1991): 249. http://dx.doi.org/10.1016/s0007-0785(05)80764-1.

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5

Fitting, Melvin, and Marion Ben-Jacob. "Stratified, Weak Stratified, and Three-Valued Semantics1." Fundamenta Informaticae 13, no. 1 (January 1, 1990): 19–33. http://dx.doi.org/10.3233/fi-1990-13104.

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We investigate the relationship between three-valued Kripke/Kleene semantics and stratified semantics for stratifiable logic programs. We first show these are compatible, in the sense that if the three-valued semantics assigns a classical truth value, the stratified approach will assign the same value. Next, the familiar fixed point semantics for pure Horn clause programs gives both smallest and biggest fixed points fundamental roles. We show how to extend this idea to the family of stratifiable logic programs, producing a semantics we call weak stratified. Finally, we show weak stratified semantics coincides exactly with the three-valued approach on stratifiable programs, though the three-valued version is generally applicable, and does not require stratification assumptions.
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6

Pétry, A. "Stratified languages." Journal of Symbolic Logic 57, no. 4 (December 1992): 1366–76. http://dx.doi.org/10.2307/2275371.

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AbstractWe consider arbitrary stratified languages. We study structures which satisfy the same stratified sentences and we obtain an extension of Keisler's Isomorphism Theorem to this situation. Then we consider operations which are definable by a stratified formula and modify the ‘type’ of their argument by one; we prove that for such an operation F the sentence c = F(c) and the scheme φ(c) ↔ (F(c)), where ↔(x) varies among all the stratified formulas with no variable other than x free, imply the same stratified {c}-sentences.
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7

Degtyarev, Anatoli, Robert Nieuwenhuis, and Andrei Voronkov. "Stratified resolution." Journal of Symbolic Computation 36, no. 1-2 (July 2003): 79–99. http://dx.doi.org/10.1016/s0747-7171(03)00036-1.

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8

Mijs, Jonathan J. B. "Stratified Failure." Sociology of Education 89, no. 2 (March 3, 2016): 137–53. http://dx.doi.org/10.1177/0038040716636434.

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9

Grillet, Pierre Antoine. "Stratified semigroups." Semigroup Forum 50, no. 1 (December 1995): 25–36. http://dx.doi.org/10.1007/bf02573503.

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10

Moiseev, K. V. "Stratified flow with natural convection weakly stratified fluid." Proceedings of the Mavlyutov Institute of Mechanics 11, no. 1 (2016): 88–93. http://dx.doi.org/10.21662/uim2016.1.013.

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In work on the basis of a mathematical model based on a linear approximation, we study the formation of the layered flows with natural convection, poorly stratified inhomogeneous liquid. The regions of the parameters under which a layered structure of the flow-cell in a side heating.
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11

Gera, Ralucca, and Ping Zhang. "Realizable triples for stratified domination in graphs." Mathematica Bohemica 130, no. 2 (2005): 185–202. http://dx.doi.org/10.21136/mb.2005.134128.

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12

Li, Tie, Keiya Nishida, Yuyin Zhang, Tuyoshi Onoe, and Hiroyuki Hiroyasu. "Enhancement of Stratified Charge for DISI Engines through Split Injection : Effect and Its Mechanism(S.I. Engines, Stratified-Charge Combustion)." Proceedings of the International symposium on diagnostics and modeling of combustion in internal combustion engines 2004.6 (2004): 521–28. http://dx.doi.org/10.1299/jmsesdm.2004.6.521.

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13

MAZORCHUK, VOLODYMYR. "KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS." Journal of the Australian Mathematical Society 89, no. 1 (August 2010): 23–49. http://dx.doi.org/10.1017/s1446788710001497.

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AbstractWe give a complete picture of the interaction between the Koszul and Ringel dualities for graded standardly stratified algebras (in the sense of Cline, Parshall and Scott) admitting linear tilting (co)resolutions of standard and proper costandard modules. We single out a certain class of graded standardly stratified algebras, imposing the condition that standard filtrations of projective modules are finite, and develop a tilting theory for such algebras. Under the assumption on existence of linear tilting (co)resolutions we show that algebras from this class are Koszul, that both the Ringel and Koszul duals belong to the same class, and that these two dualities on this class commute.
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14

Cisneros-Aguirre, Jesús, J. L. Pelegrí, and P. Sangrà. "Experiments on layer formation in stratified shear flow." Scientia Marina 65, S1 (July 30, 2001): 117–26. http://dx.doi.org/10.3989/scimar.2001.65s1117.

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15

Spaliński, Jan. "Stratified model categories." Fundamenta Mathematicae 178, no. 3 (2003): 217–36. http://dx.doi.org/10.4064/fm178-3-3.

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16

Lusala, Tsasa, and Jędrzej Śniatycki. "Stratified Subcartesian Spaces." Canadian Mathematical Bulletin 54, no. 4 (December 1, 2011): 693–705. http://dx.doi.org/10.4153/cmb-2011-026-3.

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AbstractWe show that if the family of orbits of all vector fields on a subcartesian space P is locally finite and each orbit in is locally closed, then defines a smooth Whitney A stratification of P. We also show that the stratification by orbit type of the space of orbits M/G of a proper action of a Lie group G on a smooth manifold M is given by orbits of the family of all vector fields on M/G.
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17

BALMFORTH, NEIL J., and YUAN-NAN YOUNG. "Stratified Kolmogorov flow." Journal of Fluid Mechanics 450 (January 9, 2002): 131–67. http://dx.doi.org/10.1017/s0022111002006371.

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In this study we investigate the Kolmogorov flow (a shear flow with a sinusoidal velocity profile) in a weakly stratified, two-dimensional fluid. We derive amplitude equations for this system in the neighbourhood of the initial bifurcation to instability for both low and high Péclet numbers (strong and weak thermal diffusion, respectively). We solve amplitude equations numerically and find that, for low Péclet number, the stratification halts the cascade of energy from small to large scales at an intermediate wavenumber. For high Péclet number, we discover diffusively spreading, thermal boundary layers in which the stratification temporarily impedes, but does not saturate, the growth of the instability; the instability eventually mixes the temperature inside the boundary layers, so releasing itself from the stabilizing stratification there, and thereby grows more quickly. We solve the governing fluid equations numerically to compare with the asymptotic results, and to extend the exploration well beyond onset. We find that the arrest of the inverse cascade by stratification is a robust feature of the system, occurring at higher Reynolds, Richards and Péclet numbers – the flow patterns are invariably smaller than the domain size. At higher Péclet number, though the system creates slender regions in which the temperature gradient is concentrated within a more homogeneous background, there are no signs of the horizontally mixed layers separated by diffusive interfaces familiar from doubly diffusive systems.
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18

Mandal, B. N., Rajender Parsad, V. K. Gupta, and U. C. Sud. "Nested stratified sampling." Model Assisted Statistics and Applications 3, no. 3 (September 11, 2008): 211–23. http://dx.doi.org/10.3233/mas-2008-3305.

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19

Leivant, Daniel. "Finitely stratified polymorphism." Information and Computation 93, no. 1 (July 1991): 93–113. http://dx.doi.org/10.1016/0890-5401(91)90053-5.

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20

Meskes, Michael. "Subsumption-stratified datalog." Journal of Logic Programming 36, no. 1 (July 1998): 55–90. http://dx.doi.org/10.1016/s0743-1066(97)10007-3.

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21

Smith, Stacy L. "Gender Stratified Monopoly." Teaching Sociology 45, no. 2 (September 21, 2016): 168–76. http://dx.doi.org/10.1177/0092055x16669988.

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A modified version of Monopoly has long been used as a simulation exercise to teach inequality. Versions of Modified Monopoly (MM) have touched on minority status relative to inequality but without an exploration of the complex interaction between minority status and class. This article introduces Gender Stratified Monopoly (GSM), an adaptation that can be added to existing versions of MM as a step toward such a conversation. I draw on written student reflections and observations from five test courses over two years to demonstrate the effectiveness of GSM. Data indicate student recognition of the female status as more economically challenging and less “fair” relative to the male status, with real-world consequences.
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22

Fisher, Edith M. "Usa Stratified Monopoly." Teaching Sociology 36, no. 3 (July 2008): 272–82. http://dx.doi.org/10.1177/0092055x0803600307.

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23

Quinn, Frank. "Homotopically stratified sets." Journal of the American Mathematical Society 1, no. 2 (May 1, 1988): 441. http://dx.doi.org/10.1090/s0894-0347-1988-0928266-2.

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24

Varga, Michael P. "The Stratified Mind." Contemporary Psychology: A Journal of Reviews 35, no. 7 (July 1990): 713–14. http://dx.doi.org/10.1037/028842.

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25

Dlab, Vlastimil. "Properly stratified algebras." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 331, no. 3 (August 2000): 191–96. http://dx.doi.org/10.1016/s0764-4442(00)01612-8.

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26

MEUNIER, PATRICE, and GEOFFREY R. SPEDDING. "Stratified propelled wakes." Journal of Fluid Mechanics 552, no. -1 (March 29, 2006): 229. http://dx.doi.org/10.1017/s0022112006008676.

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27

Shy, S. S., and R. E. Breidenthal. "Turbulent stratified interfaces." Physics of Fluids A: Fluid Dynamics 3, no. 5 (May 1991): 1278–85. http://dx.doi.org/10.1063/1.858056.

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28

Sedgwick, P. "Stratified cluster sampling." BMJ 347, no. 22 3 (November 22, 2013): f7016. http://dx.doi.org/10.1136/bmj.f7016.

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29

Sedgwick, P. "Stratified random allocation." BMJ 346, feb08 1 (February 8, 2013): f822. http://dx.doi.org/10.1136/bmj.f822.

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30

Rubino, Angelo, and Sergey Dotsenko. "The Stratified Pulson." Journal of Physical Oceanography 36, no. 4 (April 1, 2006): 711–19. http://dx.doi.org/10.1175/jpo2863.1.

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Abstract New analytical nonstationary circular eddy solutions of the nonlinear, reduced-gravity shallow-water equations in a multilayer stratified rotating ocean are presented. The new solutions extend previous “pulson” analytical solutions, which describe circular oscillating lenslike warm core eddies in a reduced-gravity homogeneous ocean on the f plane, to arbitrary stable vertical stratifications within surface as well as intermediate vortices. As a result, cyclonic as well as anticyclonic horizontal swirl velocities can coexist on different vortex layers within parts of an inertial period, while vertical distributions of the vortex mean tangential velocity resembling observed vertical velocity distributions of surface as well as intermediate lenslike vortices are obtained. The dynamics of a two-layer pulson is discussed and it is shown that, for nonnegligible lower- and upper-layer thickness, its total water transport substantially differs from the total water transport of the corresponding homogeneous pulson. In linearly stratified warm core vortices it is found that the amplitude of the temporal oscillation of the azimuthal velocity is maximum in the bottom layer and decreases toward the surface, while the mean azimuthal velocity is minimum in the bottom layer and increases toward the surface. In linearly stratified intermediate vortices it is found that the mean azimuthal velocity is no longer a monotonic function of the water depth: it is maximum at the top and at the bottom of the vortex and minimum at the vortex central depth. The new solutions add realism to known analytical vortex solutions and elucidate aspects of the observed complexity of geophysical vortex motions.
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31

Price, James F., and Miles A. Sundermeyer. "Stratified Ekman layers." Journal of Geophysical Research: Oceans 104, no. C9 (September 15, 1999): 20467–94. http://dx.doi.org/10.1029/1999jc900164.

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32

Coleman, A. J., and V. M. Futorny. "Stratified L-Modules." Journal of Algebra 163, no. 1 (January 1994): 219–34. http://dx.doi.org/10.1006/jabr.1994.1014.

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33

Lee, Gi-Sung. "A Stratified and Two Sample Stratified Conditional Unrelated Question Model." Korean Data Analysis Society 20, no. 6 (December 31, 2018): 2883–93. http://dx.doi.org/10.37727/jkdas.2018.20.6.2883.

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34

Al-Sarkhi, A., E. Pereyra, I. Mantilla, and C. Avila. "Dimensionless oil-water stratified to non-stratified flow pattern transition." Journal of Petroleum Science and Engineering 151 (March 2017): 284–91. http://dx.doi.org/10.1016/j.petrol.2017.01.016.

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35

Vlachos, N. A. "Studies of Wavy Stratified and Stratified/Atomization Gas-Liquid Flow." Journal of Energy Resources Technology 125, no. 2 (June 1, 2003): 131–36. http://dx.doi.org/10.1115/1.1576265.

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Studies of wavy stratified and stratified/atomization two-phase flow in horizontal pipes are outlined. Notable features of this flow regime include the appearance of disturbance waves, the atomization onset and the drastic change of the gas/liquid interface profile from flat to “concave.” Liquid-to-wall shear stress tends to decrease circumferentially. A computational procedure for predicting main flow characteristics, which takes into account the above results in its design relations, is first assessed with detailed experimental data and is then combined with a CFD code, aiming at enhancing the predictive capability.
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36

Pang, Bin, and Zhen-Yu Xiu. "Stratified L-prefilter convergence structures in stratified L-topological spaces." Soft Computing 22, no. 22 (January 30, 2018): 7539–51. http://dx.doi.org/10.1007/s00500-018-3040-1.

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37

Ozturk, Omer. "Post-stratified Probability-Proportional-to-Size Sampling from Stratified Populations." Journal of Agricultural, Biological and Environmental Statistics 24, no. 4 (July 19, 2019): 693–718. http://dx.doi.org/10.1007/s13253-019-00370-6.

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38

Ozturk, Omer, and Konul Bayramoglu Kavlak. "Statistical inference using stratified judgment post-stratified samples from finite populations." Environmental and Ecological Statistics 27, no. 1 (January 7, 2020): 73–94. http://dx.doi.org/10.1007/s10651-019-00435-2.

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39

Ungarish, Marius. "Gravity currents and intrusions of stratified fluids into a stratified ambient." Environmental Fluid Mechanics 12, no. 2 (June 23, 2011): 115–32. http://dx.doi.org/10.1007/s10652-011-9216-1.

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40

Saini, Monika, and Ashish Kumar. "Ratio estimators using stratified random sampling and stratified ranked set sampling." Life Cycle Reliability and Safety Engineering 8, no. 1 (May 22, 2018): 85–89. http://dx.doi.org/10.1007/s41872-018-0046-8.

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41

Kaplan, Amit, and Anat Herbst. "Stratified patterns of divorce." Demographic Research 32 (May 13, 2015): 949–82. http://dx.doi.org/10.4054/demres.2015.32.34.

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42

Ayala, David, John Francis, and Nick Rozenblyum. "A stratified homotopy hypothesis." Journal of the European Mathematical Society 21, no. 4 (December 10, 2018): 1071–178. http://dx.doi.org/10.4171/jems/856.

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43

Foster, Nadine E., Jonathan C. Hill, Peter O'Sullivan, and Mark Hancock. "Stratified models of care." Best Practice & Research Clinical Rheumatology 27, no. 5 (October 2013): 649–61. http://dx.doi.org/10.1016/j.berh.2013.10.005.

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44

Hamm, Helmut A. "ON STRATIFIED MORSE THEORY." Topology 38, no. 2 (March 1999): 427–38. http://dx.doi.org/10.1016/s0040-9383(98)00020-2.

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45

THOMAS, LEIF N., and PETER B. RHINES. "Nonlinear stratified spin-up." Journal of Fluid Mechanics 473 (December 10, 2002): 211–44. http://dx.doi.org/10.1017/s0022112002002367.

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Both a weakly nonlinear analytic theory and direct numerical simulation are used to document processes involved during the spin-up of a rotating stratified fluid driven by wind-stress forcing for time periods less than a homogeneous spin-up time. The strength of the wind forcing, characterized by the Rossby number ε, is small enough (i.e. ε[Lt ]1) that a regular perturbation expansion in ε can be performed yet large enough (more specifically, ε∝E1/2, where E is the Ekman number) that higher-order effects of vertical diffusion and horizontal advection of momentum/density are comparable in magnitude. Cases of strong stratification, where the Burger number S is equal to one, with zero heat flux at the upper boundary are considered. The Ekman transport calculated to O(ε) decreases with increasing absolute vorticity. In contrast to nonlinear barotropic spin-up, vortex stretching in the interior is predominantly linear, as vertical advection negates stretching of interior relative vorticity, yet is driven by Ekman pumping modified by nonlinearity. As vertical vorticity is generated during the spin-up of the fluid, the vertical vorticity feeds back on the Ekman pumping/suction, enhancing pumping and vortex squashing while reducing suction and vortex stretching. This feedback mechanism causes anticyclonic vorticity to grow more rapidly than cyclonic vorticity. Strict application of the zero-heat-flux boundary condition leads to the growth of a diffusive thermal boundary layer E−1/4 times thicker than the Ekman layer embedded within it. In the Ekman layer, vertical diffusion of heat balances horizontal advection of temperature by extracting heat from the thermal boundary layer beneath. The flux of heat extracted from the top of the thermal boundary layer by this mechanism is proportional to the product of the Ekman transport and the horizontal gradient of the temperature at the surface. The cooling caused by this heat flux generates density inversions and intensifies lateral density gradients where the wind-stress curl is negative. These thermal gradients make the potential vorticity strongly negative, conditioning the fluid for ensuing symmetric instability which greatly modifies the spin-up process.
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46

SMITH, STEFAN G. LLEWELLYN. "Stratified rotating edge waves." Journal of Fluid Mechanics 498 (January 10, 2004): 161–70. http://dx.doi.org/10.1017/s002211200300702x.

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47

PEACOCK, TOM, FRANCOIS BLANCHETTE, and JOHN W. M. BUSH. "The stratified Boycott effect." Journal of Fluid Mechanics 529 (April 25, 2005): 33–49. http://dx.doi.org/10.1017/s002211200500337x.

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48

Murolo, Claudio. "Whitney Stratified Mapping Cylinders." Journal of Singularities 2 (2010): 143–59. http://dx.doi.org/10.5427/jsing.2010.2i.

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49

Murolo, Claudio, and David Trotman. "Semi-differentiable stratified morphisms." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329, no. 2 (July 1999): 147–52. http://dx.doi.org/10.1016/s0764-4442(99)80479-0.

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50

Ng, T. S., C. J. Lawrence, and G. F. Hewitt. "Laminar stratified pipe flow." International Journal of Multiphase Flow 28, no. 6 (June 2002): 963–96. http://dx.doi.org/10.1016/s0301-9322(02)00004-6.

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