Relevant bibliographies by topics / Philip's equation

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Academic literature on the topic 'Philip's equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Philip's equation"

1

Sutikto, Tarsicius, and Kunihide Chikamori. "Evaluation of Philip's infiltration equation for cultivated upland terraces in Indonesia." Journal of Hydrology 143, no. 3-4 (March 1993): 279–95. http://dx.doi.org/10.1016/0022-1694(93)90196-g.

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NAKAEGAWA, Tosiyuki, Taikan OKI, and Katumi MUSIAKE. "Aggregation of distributions of infiltration parameters using its aggregation criteria derived from Philip's equation." Doboku Gakkai Ronbunshu, no. 642 (2000): 1–18. http://dx.doi.org/10.2208/jscej.2000.642_1.

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R. J. Kunze and W. H. Shayya. "ASSESSING THE VALIDITY OF THE PHILIP'S TWO-TERM EQUATION IN DOWNWARD INHLTRATION AND CAPILLARY RISE." Transactions of the ASAE 34, no. 5 (1991): 2047–51. http://dx.doi.org/10.13031/2013.31835.

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Marino, John A. "Creative accounting in the age of Philip II? Determining the ‘just’ rate of interest." Historical Journal 36, no. 4 (December 1993): 761–83. http://dx.doi.org/10.1017/s0018246x00014497.

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ABSTRACTDeficit financing, revenue projections and interest rates in Spanish Naples provide the context to reflect upon the exigencies of debt resolution, the illusions of mathematical certainty and the perils of temporizing in political decision-making. ‘Creative accounting’ explores the micro-history of an equation, which provided the mathematical rationale to lower Spanish interest rates to 3·3 per cent and to resolve the controversy over the ‘just’ rate of interest. In an attempt to generate revenues during the Spanish financial crisis of the 1570s that surrounded Philip II's second bankruptcy in Castile, Philip's Castilian accountants devised a proposal to suspend the hearth census in the Kingdom of Naples for fifteen years in exchange for a prepayment at discount. An analysis of the mathematics of the discount schedule raises questions about early modern economic realities. Changes in the significance of figures and quantitative relationships, like changes in the meaning of words, reveal the mental processes used to represent economic fact and to construct solutions to economic difficulties even in the midst of crises.
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Cundy, Terrance W., and Scott W. Tento. "Solution to the Kinematic Wave Approach to Overland Flow Routing With Rainfall Excess Given by Philip's Equation." Water Resources Research 21, no. 8 (August 1985): 1132–40. http://dx.doi.org/10.1029/wr021i008p01132.

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Dumbrovský, Miroslav, Ivana Kameníčková, Jana Podhrázská, František Pavlík, and Veronika Sobotková. "Evaluation of soil conservation technologies from the perspective of selected physical soil properties and infiltration capacity of the soil." Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis 59, no. 1 (2011): 37–48. http://dx.doi.org/10.11118/actaun201159010037.

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This paper evaluates different technologies of soil cultivation (conventional and minimization) in terms of physical properties and water regime of soils, where infiltration of surface water is a major component of subsurface water. Soil physical properties (the current humidity, reduced bulk density, porosity, water retention capacity of soil, pore distribution and soil aeration) is determined from soil samples taken from the organic horizon according to standard methodology. To observe the infiltration characteristics of surface layers of topsoil, the drench method (double ring infiltrometers) was used. For the evaluation of field measurements of infiltration, empirical and physically derived equations by Kostiakov and Philip and the three-parameter Philip-type equation were used. The Philip three-parameter equation provides physical based parameters near the theoretical values, a good estimation of saturated hydraulic conductivity Ks and sorptivity C1. The parameter S of Philip’s equation describes the real value of the sorptivity of the soil. Experimental research work on the experimental plots H. Meziříčko proceeded in the years 2005–2008.
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Jagani, A. H., P. K. Shrivastava, and D. K. Dwivedi. "Evaluation of Kostiakov’s and Philip’s infiltration models on the soil of Dediapada, India." Journal of Applied and Natural Science 10, no. 3 (September 2, 2018): 1073–77. http://dx.doi.org/10.31018/jans.v10i3.1845.

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Infiltration models are used in designing and optimizing irrigation projects as they are capable of predicting infiltration rate and accumulated infiltration depth to a reasonable level of accuracy. The objective of this study deals with obtaining the parameters of infiltration models like Kostiakov and Philip, applying these models to the soil of Dediapada and evaluating their performance by comparing it with the observed infiltration. Firstly, the accumulated infiltration and infiltration rates were determined by the field measurement using a double ring infiltrometer. Kostiakov’s and Philip’s infiltration models were then applied to obtain simulated data once its parameters were ascertained. The estimated parameters ‘m’ and ‘n’ for the Kostiakov model were 0.1311 and -0.3092 respectively and the corresponding equations obtained for estimating infiltration rate and accumulated infiltration depth were 0.13t-0.30 and 0.19t0.69. The estimated parameters ‘s’ and ‘k’ for the Philip model were 0.32 and 0.014 respectively and the corresponding equations obtained for estimating infiltration rate and accumulated infiltration depth were 0.16t-0.5+0.014 and 0.32t0.5+0.014t. The coefficient of determination values for evaluating the performance of the model were obtained in excess of 0.95 for both the models. Due to lack of research on the application of infiltration models on the clay loam soil of Dediapada, this study would prove to be useful for estimation of infiltration rate and depth.
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Poulovassilis, Alexander, and Ioannis Argyrokastritis. "A new approach for studying vertical infiltration." Soil Research 58, no. 5 (2020): 509. http://dx.doi.org/10.1071/sr19266.

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The exact contribution of the pressure head gradient term during the vertical infiltration process, occurring in homogeneous porous media under zero ponding head, is determined analytically to advance the knowledge related to the infiltration phenomenon. This contribution is smaller than that of the horizontal infiltration by a factor at which is a measurable function of the infiltration time t, characteristic of each porous body. By adding to this contribution that of gravity, a new two-term analytical equation is formulated which exactly reproduces an available vertical cumulative curve and satisfies the physics governing infiltration process. The properties of at allow the derivation of an equation accurate for small and moderate t and of another one accurate for all t, including large values. By applying new methodologies, the values of the sorptivity and hydraulic conductivity are determined analytically from an available cumulative infiltration curve. Philip’s two-term equation, which does not satisfy the physical requirements at the upper extreme of t, and three other equations that do satisfy it, are examined in the light of the findings of the present work. The proposed equations are able to describe the vertical infiltration process and may be used to provide the hydraulic properties.
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Mollerup, M. "Philip’s infiltration equation for variable-head ponded infiltration." Journal of Hydrology 347, no. 1-2 (December 2007): 173–76. http://dx.doi.org/10.1016/j.jhydrol.2007.09.015.

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Ma, Wenmei, Xingchang Zhang, Qing Zhen, and Yanjiang Zhang. "Effect of soil texture on water infiltration in semiarid reclaimed land." Water Quality Research Journal 51, no. 1 (August 18, 2015): 33–41. http://dx.doi.org/10.2166/wqrjc.2015.025.

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The infiltration of water and its influencing factors in disturbed or reclaimed land are not well understood. A better understanding would provide essential information for assessing the hydrological processes in disturbed ecosystems. We measured the infiltration of water in soils from loamy and sandy reclaimed land. The relationships between infiltration and soil properties were analyzed based on three models: the Kostiakov, Philip, and Green–Ampt equations. Our objectives were to understand water infiltration in reclaimed land with a variety of soil textures and to establish the dependence of water infiltration on soil properties. Both the rate of infiltration and the cumulative infiltration were higher in sandy than in loamy soils. The rate of infiltration and the cumulative infiltration decreased with soil depth in undisturbed land. The sorptivity rate (S) from the Philip equation, empirical coefficient (K) from the Kostiakov equation, and the satiated hydraulic conductivity (Ksl) from the Green–Ampt equation were 22%, 16%, and 7.1% higher, respectively, in sandy than in loamy soils. The Ksl increased significantly with Ks (saturated hydraulic conductivity) in both sandy and loamy soils. These indicated that the Green–Ampt equation can be used to describe Ks and the characteristics of infiltration for soils on disturbed land.
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Dissertations / Theses on the topic "Philip's equation"

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Rachman, Seaful, and n/a. "Infiltration under different landuse types at the Upper Ciliwung watershed of West Java, Indonesia." University of Canberra. School of Resource, Environmental and Heritage Sciences, 1992. http://erl.canberra.edu.au./public/adt-AUC20041215.124610.

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Infiltration, the process of water movement through the soil surface is one of most important hydrological processes to be considered in watershed management. The process depends on rainfall, soil, vegetation and topographic conditions. The last three variables can be influenced by human land-uses. This study is concerned with the influence of landuse types (categories) on infiltration at the upper Ciliwung watershed of West-Java, Indonesia. Sixty six infiltration measurements were carried out in 5 types of land-uses i.e. natural forest, agriculture, settlement, productive (old) tea and new tea plantation areas. The measurements were done using ring infiltrometers. The data obtained were expressed in the form of Philip's equation I = st1I2 + At, where I is cumulative infiltration; S is sorptivity; t is time; A is a parameter which was calculated from saturated hydraulic conductivity (K). Crown cover, slope gradient and soil variables such as soil moisture, organic carbon content, total porosity, bulk density were also analysed from each of the 66 sites. The results of the study shows that land-use types have significant influence on these soil variables and on infiltration. Crown cover and human activities in term of land management are among the most important factors which affect soil condition. These variables mostly influence total porosity of soil which is the most important variable to determine sorptivity and hydraulic conductivity. High percentage of crown cover and less human activity in forest area result in high accumulation of litter and humus and high total porosity of soil. On the other hand, settlement and new tea plantation areas have comparatively low crown cover and more frequent human activity which result in soil compaction. Discriminant function analysis of land-use categories shows that the soil under forest is very distinct from the soils under other land-use types. However, the soils under the remaining land-use types are more similar to each other, especially between the soil of settlement and tea plantations. The rank of infiltration rate from the highest to the lowest magnitude is as follows; natural forest, agriculture, productive tea plantation, new tea plantation and settlement areas. Infiltration rates under natural forest and agriculture are significantly different from each other as well as from those in the last three land- use types. However, there are no significant differences in infiltration rates among the last three land-use types. The result of this study also provides basic information for landuse management and further research in order to solve soil and water conservation and management problems in the watershed.
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Birken, Philipp [Verfasser]. "Numerical Methods for the Unsteady Compressible Navier-Stokes Equations / Philipp Birken." Kassel : Universitätsbibliothek Kassel, 2013. http://d-nb.info/1033201715/34.

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Weiß, Jan-Philipp [Verfasser]. "Numerical analysis of Lattice Boltzmann methods for the heat equation on a bounded interval / von Jan Philipp Weiß." Karlsruhe : Univ.-Verl. Karlsruhe, 2006. http://d-nb.info/982595697/34.

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Freese, Jan Philip [Verfasser], and C. [Akademischer Betreuer] Wieners. "Numerical homogenization of time-dependent Maxwell's equations with dispersion effects / Jan Philip Freese ; Betreuer: C. Wieners." Karlsruhe : KIT-Bibliothek, 2021. http://d-nb.info/1227451113/34.

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Zedler, Philipp [Verfasser], and Tobias [Akademischer Betreuer] Brandes. "Master equations in transport statistics: Success and failure of Non-Markovian and higher order corrections / Philipp Zedler. Betreuer: Tobias Brandes." Berlin : Universitätsbibliothek der Technischen Universität Berlin, 2011. http://d-nb.info/101783976X/34.

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Jarde, Philipp Paul [Verfasser], Michael [Akademischer Betreuer] Ulbrich, Martin [Gutachter] Brokate, Kristian [Gutachter] Bredies, and Michael [Gutachter] Ulbrich. "Analysis of optimal control problems for the optical flow equation under mild regularity assumptions / Philipp Paul Jarde ; Gutachter: Martin Brokate, Kristian Bredies, Michael Ulbrich ; Betreuer: Michael Ulbrich." München : Universitätsbibliothek der TU München, 2018. http://d-nb.info/1164590804/34.

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Reinhardt, Christian [Verfasser], Oliver [Akademischer Betreuer] Junge, Jean-Philippe [Akademischer Betreuer] Lessard, and Jan Bouwe van den[Gutachter] [Mitwirkender] Berg. "Validated computation of connecting orbits in ordinary differential equations / Christian Reinhardt. Gutachter: Jean-Philippe Lessard ; Jan Bouwe van den Berg ; Oliver Junge. Betreuer: Oliver Junge." München : Universitätsbibliothek der TU München, 2013. http://d-nb.info/1037198557/34.

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Reinhardt, Christian Verfasser], Oliver [Akademischer Betreuer] [Junge, Jean-Philippe [Akademischer Betreuer] Lessard, and Jan Bouwe van den[Gutachter] [Mitwirkender] Berg. "Validated computation of connecting orbits in ordinary differential equations / Christian Reinhardt. Gutachter: Jean-Philippe Lessard ; Jan Bouwe van den Berg ; Oliver Junge. Betreuer: Oliver Junge." München : Universitätsbibliothek der TU München, 2013. http://nbn-resolving.de/urn:nbn:de:bvb:91-diss-20130701-1141240-0-8.

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Craib, Philip [Verfasser]. "Theorie und Numerik von Mehrskalenmethoden für die rotierenden Flachwassergleichungen : Theory and Numerics of Multiscale Methods for the Rotating Shallow Water Equations / Philip Craib." Hamburg : Staats- und Universitätsbibliothek Hamburg Carl von Ossietzky, 2019. http://d-nb.info/1223095894/34.

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Wu, Zhong Ming, and 巫仲明. "Solution to the kinematic wave approach to overland flow and subsurface components of runoff rounting with rainfall excess given by philip's hillslope infiltration equation." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/98453889829470631423.

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Books on the topic "Philip's equation"

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Arendt, Wolfgang. Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan. Basel: Birkhäuser Basel, 2004.

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1950-, Arendt Wolfgang, Brézis H, Pierre Michel 1949-, and Bénilan P. 1940-, eds. Nonlinear evolution equations and related topics: Dedicated to Philippe Bénilan. Basel: Birkhäuser, 2004.

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(Editor), Wolfgang Arendt, Haim Brézis (Editor), and Michel Pierre (Editor), eds. Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan. Birkhäuser Basel, 2005.

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(Editor), Erik Koelink, Jan van Neerven (Editor), Ben de Pagter (Editor), and Guido Sweers (Editor), eds. Partial Differential Equations and Functional Analysis: The Philippe Clément Festschrift (Operator Theory: Advances and Applications). Birkhauser, 2006.

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Beebee, Helen, Christopher Hitchcock, and Huw Price, eds. Making a Difference. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198746911.001.0001.

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Making a Difference presents fifteen original essays on causation and counterfactuals by philosophers and political theorists. Collectively, they represent the state of the art on these topics. The essays in this volume are inspired by the work of the late Australian philosopher Peter Menzies (1953–2015), who himself made a very great difference to our contemporary understanding of these matters. Topics covered include: the semantics of counterfactuals, agency theories of causation, the context-sensitivity of causal claims, structural equation models, mechanisms, mental causation, the causal exclusion argument, and free will. Contributors: Helen Beebee, Thomas Blanchard, David Braddon-Mitchell, Rachael Briggs, Nancy Cartwright, Christopher Hitchcock, Christian List, Cei Maslen, Peter Menzies, Daniel Nolan, Philip Pettit, Huw Price, Jonathan Schaffer, Brad Weslake, James Woodward.
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Book chapters on the topic "Philip's equation"

1

Warrick, Arthur W. "One-Dimensional Infiltration and Vertical Flow." In Soil Water Dynamics. Oxford University Press, 2003. http://dx.doi.org/10.1093/oso/9780195126051.003.0010.

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This chapter addresses one-dimensional infiltration and vertical flow problems. Traditionally, infiltration has received more attention than other unsaturated flow procedures, both for empirical formulations and for applications of Richards’ equation. Rarely is infiltration the only process of interest, and from an overall point of view it is only one example of soil water dynamics. Here, we will first emphasize systems for which analytical (or quasi-analytical) solutions can be found. These include the Green and Ampt solution (1911), which adds gravity to the simplified analysis discussed in chapter 4. Then a linearized form of Richards’ equation will be examined, followed by the perturbation of the horizontal problem of Philip leading to his famous series solution. Although the closed-form and quasi-analytical solutions are convenient for calculations and discussing the physical principles, generally, the nonlinearity of Richards’ equation precludes such convenient forms. However, numerical approximations can be used. The conventional numerical methods applied in water and solute transport are based on finite differences and finite elements. Because of its greater simplicity, we will emphasize finite differences and build on the methodology from the saturated-flow example in chapter 3. Richards’ equation is a parabolic partial differential equation reducing to an elliptical form for steady-state cases. The analyses and methods parallel developments for techniques developed primarily for the linear diffusion equation. Many texts exist for numerical methods; one to which we refer is by Smith (1985). Ideally, numerical methods give solutions that are as accurate as the input warrants or as necessary for application. In some cases, results may be easier or more accurate than the evaluation of a complex analytical expression. Clearly, infiltration is of limited duration, with drainage and redistribution occurring over much longer time frames. We will visit briefly some steady-state examples, including layered profile and upward flow from a shallow water table. Other examples include modeling plant water uptake from the profile and drainage of initially wet profiles. The rapid increase in computational power and availability of computers make solutions feasible and routine for problems that were very tedious or time consuming only a few years ago. This is particularly true of the one-dimensional numerical solutions.
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Conference papers on the topic "Philip's equation"

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Kouroush Sadeghzadh, Adel Shirmohammadi, Hubert J. Montas, and Ali Sadeghi. "Applicability of Philip's Three-Parameter Type Infiltration Equation in Layered Soils." In 2003, Las Vegas, NV July 27-30, 2003. St. Joseph, MI: American Society of Agricultural and Biological Engineers, 2003. http://dx.doi.org/10.13031/2013.15012.

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"Philip-s Semi-Analytical Solution on Water Infiltration into Unsaturated Soil based on Van Genuchten Equation." In May 22-24, 2017 Kuala Lumpur (Malaysia). IIE, 2017. http://dx.doi.org/10.15242/iie.c0517022.

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Lav, Chitrarth, and Richard D. Sandberg. "Unsteady Simulations of a Trailing-Edge Slot Using Machine-Learnt Turbulence Stress and Heat-Flux Closures." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-14398.

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Abstract The trailing edge slot is a canonical representation of the pressure-side bleed flow encountered in high pressure turbines. Predicting the flow and temperature downstream of the slot exit remains challenging for RANS and URANS, with both significantly overpredicting the adiabatic wall-effectiveness. This over-prediction is attributable to the incorrect mixing prediction in cases where the vortex shedding is present. In case of RANS the modelling error is rooted in not properly accounting for the shedding scales while in URANS the closures account for the shedding scales twice, once by resolving the shedding and twice with the model for all the scales. Here, we present an approach which models only the stochastic scales that contribute to turbulence while resolving the scales that do not, i.e. scales considered as contributing to deterministic unsteadiness. The model for the stochastic scales is obtained through a data-driven machine learning algorithm, which produces a bespoke turbulence closure model from a high-fidelity dataset. We use the best closure (blowing ratio of 1.26) for the anisotropy obtained in the a priori study of Lav, Philip & Sandberg [A New Data-Driven Turbulence Model Framework for Unsteady Flows Applied to Wall-Jet and Wall-Wake Flows, 2019] and conduct compressible URANS calculations. In the first stage, the energy equation is solved utilising the standard gradient diffusion hypothesis for the heat-flux closure. In the second stage, we develop a bespoke heat-flux closure using the machine-learning approach for the stochastic heat-flux components only. Subsequently, calculations are performed using the machine-learnt closures for the heat-flux and the anisotropy together. Finally, the generalisability of the developed closures is evaluated by testing them on additional blowing ratios of 0.86 and 1.07. The machine-learnt closures developed specifically for URANS calculations show significantly improved predictions for the adiabatic wall-effectiveness across the different cases.
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