We are IntechOpen, the world's leading publisher of Open Access books Built by scientists, for scientists

5,400+

Open access books available

132,000+

International authors and editors

160M+

Downloads

156 Countries delivered to Our authors are among the

Top 1% most cited scientists

12.2%

Contributors from top 500 universities

Selection of our books indexed in the Book Citation Index in Web of Science™ Core Collection (BKCI)

### Interested in publishing with us? Contact book.department@intechopen.com

Numbers displayed above are based on latest data collected. For more information visit www.intechopen.com

## Meet the editor

Over the past decade, Prof. V. Ramachandra Prasad has worked in the areas of multi-physical fluids dynamics and numerical simulation. His work has investigated complex phenomena of interest in mechanical engineering, applied mathematics, chemical engineering, and material processing. He has made fundamental contributions in magnetic fluid dynamics, thermal radiation heat transfer, fluid modeling, micropolar non-Newtonian hy-

drodynamics, magnetic induction flows, viscoelastic liquid flows, porous media, and boundary flows. He has published more than 150 journal articles in these areas and has made numerous conference presentations. He has published six books on radiation heat transfer, thermo-diffusion and diffusion-thermo effects boundary layers' flows, and viscoelastic flows. His more recent work has involved non-Newtonian fluid dynamics, fluid-particle suspensions, and lid-driven cavities. He has used the numerical methods of finite difference, finite element, network simulation, and finite volume codes to solve problems in his areas of research in collaboration with US, Indian, Spanish, British, and Taiwanese researchers. He is a professor of Mathematics at Vellore Institute of Technology, Vellore, India.

Contents

**Section 1**

*by Paul Papatzacos*

*by Kieu Hiep Le*

**Section 2**

in Fluid Flow *by Twinkle R. Singh*

*and Tetsuya Suekane*

High Heat Flux Conditions

*by Kazuhisa Yuki*

**Section 3**

**Section 4**

Porous Flow with Diffuse Interfaces

in Drying Process of Porous Media

**Preface XI**

Multiscale Modelling in Porous Media **1**

**Chapter 1 3**

**Chapter 2 25**

Mathematical Models in Porous Media and Solutions **43**

**Chapter 3 45**

Experimental Challenges in Geological Applications of Porous Media **59**

**Chapter 4 61**

Heat and Mass Transfer in Porous Media **83**

**Chapter 5 85**

Heat Transfer Enhancement Using Unidirectional Porous Media under

Multiscale Modeling of Non-Isothermal Fluid Transport Involved

Study on Approximate Analytical Method with Its Application Arising

Dissolution Mass Transfer of Trapped Phase in Porous Media

*by Anindityo Patmonoaji, Yingxue Hu, Chunwei Zhang* 

### Contents



Preface

This book, *Porous Fluids - Advances in Fluid Flow and Transport Phenomena in Porous Media*, discusses fluid flow and transport phenomena as encountered in civil and environmental engineering, petroleum and mathematical aspects, as well as chemical and geothermal engineering. It also covers the study of multiphase flow through porous media and introduces new methods. Portions of the book are devoted to interpretations of experimental results in this area and directions for future research. Written by authoritative experts in the field, this book can be used by applied mathematicians and engineers, especially those working in the area of

**Vallampati Ramachandra Prasad,** 

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

Professor,

porous media.
