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The Porous Medium Equation: Mathematical Theory

Juan Luis Vazquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198569039
eISBN:
9780191717468
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198569039.001.0001
Subject:
Mathematics, Mathematical Physics

The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it ... More


Heat Transfer at Cryogenic Temperatures

Jack W. Ekin

in Experimental Techniques for Low-Temperature Measurements: Cryostat Design, Material Properties and Superconductor Critical-Current Testing

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198570547
eISBN:
9780191717710
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570547.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses heat transfer in cryogenic design. Topics covered include heat conduction through solids and gases (and liquids), radiative heat transfer, heat conduction across liquid/solid ... More


Experimental Techniques for Low-Temperature Measurements: Cryostat Design, Material Properties and Superconductor Critical-Current Testing

Jack Ekin

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198570547
eISBN:
9780191717710
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570547.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book presents an integrated, step-by-step approach to the design and construction of low-temperature measurement apparatus. It is effectively two books in one: a textbook on cryostat design ... More


An Introduction to Nonlinear Finite Element Analysis

J. N. Reddy

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of ... More


MAIN APPLICATIONS

Juan Luis Vázquez

in The Porous Medium Equation: Mathematical Theory

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198569039
eISBN:
9780191717468
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198569039.003.0002
Subject:
Mathematics, Mathematical Physics

This chapter reviews the main applications of the porous medium equation (PME). Section 2.1 describes the standard model of gas flow through a porous medium (Darcy-Leibenzon-Muskat). Section 2.2 ... More


SOLIDIFICATION AND ELECTRO-DEPOSITION

Nasr M. Ghoniem and Daniel D. Walgraef

in Instabilities and Self-Organization in Materials: Volume I: Fundamentals of Nanoscience, Volume II: Applications in Materials Design and Nanotechnology

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199298686
eISBN:
9780191720222
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199298686.003.0018
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the morphological instabilities of interfaces between the liquid and solid phases as the phase transformation process is completed. It first presents the problem of melting and ... More


Solar Thermal Energy Generated Electricity

Michael E. Mackay

in Solar Energy: An Introduction

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199652105
eISBN:
9780191801969
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199652105.003.0009
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Solar thermal energy generated electricity is produced by heating water or a heat transfer fluid with concentrated solar energy to ultimately drive a Rankine cycle power plant. The analysis in this ... More


Material Nonlinearities and Coupled Problems

J. N. REDDY

in An Introduction to Nonlinear Finite Element Analysis

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Nonlinearities arise from two independent sources: nonlinearity due to changes in the geometry or position of the material particles of a continuum, which is called the geometric nonlinearity, and ... More


Baked Alaska and Frozen Florida: On the Physics of Heat Transfer

Adam Burbidge

in The Kitchen as Laboratory: Reflections on the Science of Food and Cooking

Published in print:
2013
Published Online:
November 2015
ISBN:
9780231153454
eISBN:
9780231526920
Item type:
chapter
Publisher:
Columbia University Press
DOI:
10.7312/columbia/9780231153454.003.0023
Subject:
Sociology, Science, Technology and Environment

This chapter provides an introduction to the concept of heat transfer and explains what this means in the context of real cooking. Heat transfer refers to the motion of heat, which is a form of ... More


Heat Transfer and Other Field Problems in Two Dimensions

J. N. REDDY

in An Introduction to Nonlinear Finite Element Analysis

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter considers the use of the finite element method in analysing problems in which the coefficients of the differential equation are possibly functions of the dependent variable and its ... More


Nonlinear Analysis of Time-Dependent Problems

J. N. REDDY

in An Introduction to Nonlinear Finite Element Analysis

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In this chapter, finite element models are used to solve time-dependent problems with nonlinearities and some standard time approximation schemes are described. All classes of nonlinear problems ... More


Stars

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0035
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter applies some of the concepts of thermal physics developed earlier in this book to stellar astrophysics. Astrophysics is the study of the physical properties of the Universe and the ... More


Heat Transfer and Other Field Problems in One Dimension

J. N. REDDY

in An Introduction to Nonlinear Finite Element Analysis

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter considers the use of the finite element method in analysing heat transfer and other field problems in one dimension. A model nonlinear differential equation governing one-dimensional ... More


Turbulent shear flows and simple closure models

P. A. Davidson

in Turbulence: An Introduction for Scientists and Engineers

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198722588
eISBN:
9780191789298
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198722588.003.0004
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

Chapter 4 discusses turbulent shear flows. This includes boundary layers, homogeneous shear, and free shear flows, such as jets and wakes. The physical characteristics of these flows are reviewed, ... More


Weak-Form Finite Element Models of Flows of Viscous Incompressible Fluids

J. N. Reddy

in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

Published in print:
2014
Published Online:
June 2015
ISBN:
9780199641758
eISBN:
9780191789557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641758.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents finite element models of flows of viscous incompressible fluids for Newtonian and non-Newtonian (power-law) fluids. It develops two different finite element models, namely, the ... More


Radiative heat transfer

Andrew M. Steane

in Thermodynamics: A complete undergraduate course

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198788560
eISBN:
9780191830426
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198788560.003.0020
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Simple radiative heat transfer problems are considered. The shape factor reciprocity relation is derived. The greenhouse effect is discussed. The global warming problem is considered, drawing on ... More


Elementary Theories of the Thermal Properties of Solids

J. B. Ketterson

in The Physics of Solids

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198742906
eISBN:
9780191821523
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742906.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the thermal properties of solids. A fundamental thermodynamic property of a body is its heat capacity, C ≡ dQ/dT, where dQ is an increment of heat transferred to the body and ... More


Isotropic turbulence (in real space)

P. A. Davidson

in Turbulence: An Introduction for Scientists and Engineers

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198722588
eISBN:
9780191789298
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198722588.003.0006
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

Chapter 6 focuses on isotropic turbulence, with an emphasis on its real-space (rather than Fourier-space) description. After introducing the language of isotropic turbulence (i.e., kinematics), the ... More


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