Linear and Nonlinear Stability Analysis in a Horizontal Porous Layer : with Effect of Inclined Gradients

ISBN-13: 9783330075979 / Angielski / Miękka / 2017 / 128 str.

Anjanna Matta

Opis

The aim of this book is to investigate linear and nonlinear stability of mono-diffusive (pure thermal) or double-diffusive (thermo-solutal) convection in a porous medium with induced inclined gradients. In this chapter 1 has provided some key definitions, and discuss the underlying theory of stability and instability with respect to linear and nonlinear stability analyses inherent in understanding flows through porous media. Chapter 2 deals with the problem of pure thermal convection induced by inclined thermal gradients with an internal heat source. Chapters 3 and 4, the stability analysis is performed on the double-diffusive Hadley flow induced by both thermal and solutal gradients, when it is subjected to gravity variations. In Chapter 5, the double-diffusive Hadley-Prats flow with a concentration based heat source is investigated through linear and nonlinear stability analyses. In both cases, the resulting eigenvalue problems have been numerically integrated using a combination of Shooting and Runge-Kutta methods. In the last Chapter, a summary of the present work and some future directions are discussed.

O autorze

Dr. Anjanna Matta is working as an Assistant Professor in Department of Mathematics, FST at IFHE University, Hyderabad. He is published several articles in various international journals. He is awarded PhD from IIT Hyderabad, India, completed M.Tech (IMSC) from IIT Madras, India and M.Sc (Mathematics) from NIT Warangal, India.