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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 Crank–Nicholson 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 other literature. 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.
The present book "Some Hydromagnetic Flows With Heat Transfer" is a part of the research work carried out by Dr. R. Nandkeolyar for his doctoral degree at the prestigious center of excellence for mining study, the Indian School of Mines, Dhanbad, India under the expert guidance of Prof. G.S. Seth. It is well known that MHD flows has applications in the area of astrophysics, geophysics and fluid-engineering. Keeping this fact into mind the author has presented the study of some problems of magnetohydrodynamic fluid flow and heat transfer under different conditions and configurations considering various aspects of the problem. A comprehensive review of the literature relevant to each chapter is presented at the beginning of the chapter. The study is presented in a very easy to understand manner by explaining each and every step so that the book may be helpful for young researchers in the field of Magnetohydrodynamics. The discussion of results has been made with the help of neatly drawn graphs and well presented tables. The purpose of this book will be served if it can help the coming generation to initiate their work in the area of Magnetohydrodynamics.
Control of heat and mass transfer processes by means of external force effects is one of the most important problems in modern applied physics. This book is devoted to the study of the magnetic field effect as it bears on transfer phenomena: heat and mass transfer. In conducting media, this influence is mainly due to the induced electric current and the interaction of the current with the magnetic field, whereas in magnetizable fluids, molecular or colloidal solution, transfer phenomena are directly affected by the field. When analysing heat and mass transfer in multiphase magnetizing media, only those phenomena which could be described in terms of conventional quasi-stationary approximation are considered. The effects assoicated with the non-equilibrium magnetization of the system and particle interaction receive special attention here. The problem studied here have been considered with a view to possible applications, particularly in biology and medicine.
The convection and conduction heat transfer, thermal conductivity, and phase transformations are significant issues in a design of wide range of industrial processes and devices. This book includes 18 advanced and revised contributions, and it covers mainly (1) heat convection, (2) heat conduction, and (3) heat transfer analysis. The first section introduces mixed convection studies on inclined channels, double diffusive coupling, and on lid driven trapezoidal cavity, forced natural convection through a roof, convection on non-isothermal jet oscillations, unsteady pulsed flow, and hydromagnetic flow with thermal radiation. The second section covers heat conduction in capillary porous bodies and in structures made of functionally graded materials, integral transforms for heat conduction problems, non-linear radiative-conductive heat transfer, thermal conductivity of gas diffusion layers and multi-component natural systems, thermal behavior of the ink, primer and paint, heating in biothermal systems, and RBF finite difference approach in heat conduction. The third section includes heat transfer analysis of reinforced concrete beam, modeling of heat transfer and phase transformations, boundary conditions-surface heat flux and temperature, simulation of phase change materials, and finite element methods of factorial design. The advanced idea and information described here will be fruitful for the readers to find a sustainable solution in an industrialized society.
The convection and conduction heat transfer, thermal conductivity, and phase transformations are significant issues in a design of wide range of industrial processes and devices. This book includes 18 advanced and revised contributions, and it covers mainly (1) heat convection, (2) heat conduction, and (3) heat transfer analysis. The first section introduces mixed convection studies on inclined channels, double diffusive coupling, and on lid driven trapezoidal cavity, forced natural convection through a roof, convection on non-isothermal jet oscillations, unsteady pulsed flow, and hydromagnetic flow with thermal radiation. The second section covers heat conduction in capillary porous bodies and in structures made of functionally graded materials, integral transforms for heat conduction problems, non-linear radiative-conductive heat transfer, thermal conductivity of gas diffusion layers and multi-component natural systems, thermal behavior of the ink, primer and paint, heating in biothermal systems, and RBF finite difference approach in heat conduction. The third section includes heat transfer analysis of reinforced concrete beam, modeling of heat transfer and phase transformations, boundary conditions-surface heat flux and temperature, simulation of phase change materials, and finite element methods of factorial design. The advanced idea and information described here will be fruitful for the readers to find a sustainable solution in an industrialized society.
Micro and Nanofluid Convection with Magnetic Field Effects for Heat and Mass Transfer Applications using MATLAB® examines the performance of micro and nanofluids with various physical effects such as magnetic field, slip effects, radiation and heat sources. Heat and mass transfer enhancement techniques are widely used in many applications in the heating and cooling or freezing process to make possible a reduction in weight and size or enhance performance during heat and mass exchanges. The book covers the two categories of flow techniques, active and passive. It discusses various considerations in the engineering sciences in the melting process, polymer industry and in metallurgy. To be more precise, it may be pointed out that many metal surgical developments involve the cooling of continuous strips or filaments by drawing them through a quiescent fluid, and in that process of drawing, these strips are sometimes stretched. In all these cases, the properties of the final product depend, to a great extent, on the rate of cooling by drawing such strips in an electrically conducting fluid subject to a magnetic field and thermal radiation. - Provides information about the governing equations for all three types of flow geometries - Explains micro polar fluid flow modeling - Offers detailed coverage of boundary value problems using MATLAB®