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At the outset, the author of the book welcomes his supervisor Prof. Prof (Dr.) G. S. Roy who has joined me as coauthors of this text, a credit which would have been given earlier to them as they were helping in a latent way in the evolution of the book for the past five years. Five years have elapsed on the intellectual journey of writing a PhD thesis e-book in title “Hall Effect on the Magnetohydrodynamic Flow of Some Newtonian and Non-Newtonian Conducting Fluids” in subject of physics. As Magnetohydrodynamic Flow is growing at a dazzling pace, this edition has been demanding in a different way. In this 1st edition, the book has been thoroughly described, enlarged and updated with Magnetohydrodynamic Flow. Gratitude is expressed to the students and teachers, both from India and abroad, who have sent in their valuable suggestions which have been given due consideration. We are sincerely thankful to our publisher, Newredmars Education. We are also deeply indebted to my guide Prof. Dr. G. S. Roy for his sustained support of this endeavour from its inception; his wisdom has made all the difference. Healthy criticism and suggestions for further improvement of the book are solicited.
Study of Hall Current on Thermal Instability Problems, with Couple-Stress fluid, Oldroydian viscoelastic fluid, Rivlin-Ericksen, Walter's B' and beauty of Thermosolutal Instability with hall Current effect, as Porous medium as well as Suspended Particles, cannot provide good results together, but here beauty is that these two effects study together because of permeability provided good reults. We have good results by using these effects and published in journal of repute having good impact factor of International level as well as national.
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids, liquids, and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modeling fission weapon detonation. In this book, we provide readers with the fundamentals of fluid flow problems. Specifically, Newtonian, non-Newtonian and nanofluids are discussed. Several methods exist to investigate such flow problems. This book introduces the applications of new, exact, numerical and semianalytical methods for such problems. The book also discusses different models for the simulation of fluid flow.
Most of the problems arising in science and engineering are nonlinear. They are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of the Keller-box method to nonlinear problems. The first half of the book addresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authors give a number of examples of coupled nonlinear problems that have been solved by means of the Keller-box method. The particular area of focus is on fluid flow problems governed by nonlinear equation.
Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and 'exact' solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. - Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems - Includes novel developments in fractional order differential equations with fractal theory applied to fluids - Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis