Thermal and Solutal Convection in Some Hydromagnetic Flows

This book presents a theoretical analysis of several problems in thermal and solutal convections in magneto-hydrodynamic (MHD) flows. It provides a systemic discussion on the development of fluid dynamics, continuum hypothesis, Newton's law of viscosity, heat transfer, mass transfer, thermal diffusion, diffusion-thermo-MHD, gray and non-gray gases, Fourier's law of conduction, and Fick's law of diffusion in such a way that readers with little knowledge in physics will find it easier to understand the contents. Some physical principles, such as those governing fluid motion, fluid temperature, and fluid concentration, are presented in vector form, allowing the corresponding form to be derived in any orthogonal curvilinear coordinate system. Laplace transform technique in closed form is used to obtain exact solutions to unsteady one-dimensional flow problems, an implicit finite difference method of CrankNicholson type is used to solve unsteady two-dimensional flow problems, and an asymptotic series expansion method is used to solve the governing equations of the steady three-dimensional flow problem analytically. Flow and transport phenomena are thoroughly treated in each chapter separately. This book emphasizes the influence of an induced magnetic field. The outcomes of the works are graphically depicted so that readers can gain a tangible understanding of the problems. It also includes a list of inverse Laplace transforms (ILTs) for several specific functions, some of which are not found in the existing literature. The ILTs of special functions are given in brief form and can further be utilized as standard formulae in finding those as special cases. Some new special functions are introduced in the book, along with appropriate definitions. As a result, the formulations for velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number have been appeared in brief and convenient forms that are uncommon in otherliterature. This book addresses numerous areas of contemporary magneto-fluid dynamics research that have major implications in engineering. It is primarily intended for researchers working in the field of heat and mass transfer in hydromagnetic flows.

Discusses problems in thermal and solutal convections in magneto-hydrodynamic flows Gives a list of inverse Laplace transforms of some special functions Adopts the integral transform method to have exact solutions of the problems

Auteur

Nazibuddin Ahmed is Professor and Head of the Department of Mathematics, Gauhati University, India. He joined Gauhati University as Associate Professor in the year 2006. Earlier, he had served Cotton College (now Cotton University), Guwahati, for more than 20 years. Before joining Cotton College, he had served in Arya Vidyapeeth College, Guwahati, for about two-and-a-half years. He passed the M.Sc. in Mathematics in the year 1982 and obtained his Ph.D. degree in 1991 in the field of magneto-fluid dynamics from Gauhati University. Later, he was awarded D.Sc. degree by Gauhati University in 2018 for his research work in the field of heat and mass transfer in hydromagnetic flows.

He has more than 200 research papers published to his credit in several reputed journals: Journal of Heat Transfer, Chemical Engineering Communications, Canadian Journal Physics, Journal of Engineering Physics and Thermophysics, Heat Transfer Research, Heat Transfer-Asian Research, Heat Transfer, International Journal of Fluid Mechanics Research, Indian Journal of Pure and Applied Mathematics, Magnetohydrodynamics, Turkish Journal of Physics, Latin American Applied Research, Scientific Reports (Nature), and so on. One of his research papers published in 2017-2018 has been recognized as a top-20 most-read paper in Heat Transfer-Asian Research. He has completed two major research projects: one from the UGC and other from the CSIR. He has so far guided 22 research scholars for their Ph.D. degrees. The author of three textbooks in mathematics, including A Contemporary Mechanics, Prof. Ahmed's present research fields are magneto-fluid dynamics and heat and mass transfer.

Contenu

1. Introduction and Basic Concepts.- 2. MHD Transient Flow with Diffusion-Thermo and Radiation.- 3. MHD Flow with Diffusion-Thermo and Induced Magnetic Field.- 4. MHD Flow with Soret Effect and Induced Magnetic Field.- 5. MHD Flow with Parabolic Conditions and Diffusion-Thermo.- 6. MHD Flow with Radiation, Chemical Reaction, and Diffusion-Thermo.- 7. MHD Flow with Thermal Diffusion, Thermal Radiation, and Chemical Reaction.- 8. Natural Convection in Transient MHD Dissipative Flow.- 9. MHD Radiating Flow with Thermal Diffusion, and Diffusion-Thermo.