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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:
- January 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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