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 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.

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 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.

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 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.

The volume contains original research papers as the Proceedings of the International Conference on Applied Nonlinear Analysis and Soft Computing (ANASC 2020), held at Gauhati University, Guwahati, India, on 22-23 December, 2020. It focuses on current research topics in applied analysis including nonlinearity, soft computing and related areas. It primarily includes topics related to pattern recognition, reaction-diffusion problem, decision making problems, inventory model, predator-prey model, logistic models, wave problems, problems in Magnetohydrodynamics, cosmological model, harmonic functions, graphs, shapes, etc.  Researchers, educators, scientist and professionals interested in recent developments in applied analysis including nonlinearity aspects and soft computing should be benefited from this volume.

Targeted to advanced undergraduate and graduate students of mathematics, physics and engineering, this book discussed major topics in classical dynamics. Each chapter begins with clear statements of definitions, principles and theorems. To illustrate and amplify the theories and principles, there are graded sets of solved examples and supplementary problems in each chapter. The book highlights vector treatment, but the scalar treatment is not disregarded. Theorems and principles are solved by vector method whereas in case of solved problems, both vector and scalar treatments are utilized. It is assumed that the students have a fair working knowledge of differential and integral calculus, differential equations, vector algebra and vector calculus.

Targeted to advanced undergraduate and graduate students of mathematics, physics and engineering, this book discussed major topics in classical dynamics. Each chapter begins with clear statements of definitions, principles and theorems. To illustrate and amplify the theories and principles, there are graded sets of solved examples and supplementary problems in each chapter. The book highlights vector treatment, but the scalar treatment is not disregarded. Theorems and principles are solved by vector method whereas in case of solved problems, both vector and scalar treatments are utilized. It is assumed that the students have a fair working knowledge of differential and integral calculus, differential equations, vector algebra and vector calculus.

This book contains select chapters on topics related to nonlinear dynamics and functional analysis and their applications in quantum transport, carbon nanotubes, approximation theory, fixed point theory, quantum functional calculus, renewable natural resources, dynamic optimal control model and optimal control analysis. It focuses on bridging the gap between recent trends of interdisciplinary research in nonlinear dynamics and functional analysis. This book helps researchers, scientists and students in obtaining cutting-edge research in these areas and opens the pavement to apply nonlinear dynamics and functional analysis to solve interdisciplinary problems in several areas.

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 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.

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 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.

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 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.

The volume contains original research papers as the Proceedings of the International Conference on Applied Nonlinear Analysis and Soft Computing (ANASC 2020), held at Gauhati University, Guwahati, India, on 22-23 December, 2020. It focuses on current research topics in applied analysis including nonlinearity, soft computing and related areas. It primarily includes topics related to pattern recognition, reaction-diffusion problem, decision making problems, inventory model, predator-prey model, logistic models, wave problems, problems in Magnetohydrodynamics, cosmological model, harmonic functions, graphs, shapes, etc.  Researchers, educators, scientist and professionals interested in recent developments in applied analysis including nonlinearity aspects and soft computing should be benefited from this volume.

Targeted to advanced undergraduate and graduate students of mathematics, physics and engineering, this book discussed major topics in classical dynamics. Each chapter begins with clear statements of definitions, principles and theorems. To illustrate and amplify the theories and principles, there are graded sets of solved examples and supplementary problems in each chapter. The book highlights vector treatment, but the scalar treatment is not disregarded. Theorems and principles are solved by vector method whereas in case of solved problems, both vector and scalar treatments are utilized. It is assumed that the students have a fair working knowledge of differential and integral calculus, differential equations, vector algebra and vector calculus.

Targeted to advanced undergraduate and graduate students of mathematics, physics and engineering, this book discussed major topics in classical dynamics. Each chapter begins with clear statements of definitions, principles and theorems. To illustrate and amplify the theories and principles, there are graded sets of solved examples and supplementary problems in each chapter. The book highlights vector treatment, but the scalar treatment is not disregarded. Theorems and principles are solved by vector method whereas in case of solved problems, both vector and scalar treatments are utilized. It is assumed that the students have a fair working knowledge of differential and integral calculus, differential equations, vector algebra and vector calculus.

This book contains select chapters on topics related to nonlinear dynamics and functional analysis and their applications in quantum transport, carbon nanotubes, approximation theory, fixed point theory, quantum functional calculus, renewable natural resources, dynamic optimal control model and optimal control analysis. It focuses on bridging the gap between recent trends of interdisciplinary research in nonlinear dynamics and functional analysis. This book helps researchers, scientists and students in obtaining cutting-edge research in these areas and opens the pavement to apply nonlinear dynamics and functional analysis to solve interdisciplinary problems in several areas.