Most of the equations governing the problems related to science and engineering are nonlinear in nature. As a result, they are inherently difficult to solve. Analytical so…Read more
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Most of the equations governing the problems related to science and engineering are nonlinear in nature. As a result, they are inherently difficult to solve. Analytical solutions are available only for some special cases. For other cases, one has no easy means but to solve the problem must depend on numerical solutions.
Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions presents the current theoretical developments of boundary layer theory, a branch of transport phenomena. Also, the book addresses the theoretical developments in the area and presents a number of physical problems that have been solved by analytical or numerical method. It is focused particularly on fluid flow problems governed by nonlinear differential equations. The book is intended for researchers in applied mathematics, physics, mechanics and engineering.
Addresses basic concepts to understand the theoretical framework for the method
Provides examples of nonlinear problems that have been solved through the use of numerical method
Focuses on fluid flow problems governed by nonlinear equations
Researchers and PhD students working in applied mathematics and applied mathematicians working on fluids and materials and mathematical physics. The book is also aimed at theoretical physicists and engineers
Preface
Introduction
Part I: Methods and Applications
1: Numerical methods
Abstract
2: Flow past a stretching sheet
Abstract
2.1 Flow past a linearly stretching sheet
2.2 Flow past a nonlinearly stretching sheet
2.3 Flow past an exponentially stretching sheet
2.4 Flow past an unsteady stretching sheet
2.5 Flow past a curved stretching sheet
2.6 Stagnation point flow of a non-newtonian fluid over a stretching sheet
3: Flow past a shrinking sheet
Abstract
3.1 Flow past a linearly shrinking sheet
3.2 Flow past a nonlinearly shrinking sheet
3.3 Flow past an exponentially shrinking sheet
3.4 Flow past an unsteady shrinking sheet
3.5 Flow past a curved shrinking sheet
3.6 Stagnation-point flow over a shrinking sheet
4: Flow past a flat plate
Abstract
4.1 Flow past a static horizontal plate
4.2 Flow past a moving horizontal plate
4.3 Flow past a static vertical plate
4.4 Flow past a moving vertical plate
4.5 Nanofluid boundary layers over a moving plate
4.6 Unsteady boundary-layer flow caused by an impulsively stretching plate
Part II: Further Applications
5: Flow past a cylinder
Abstract
5.1 Flow past a stretching cylinder
5.2 Flow past a vertical cylinder
5.3 Nanofluid boundary layer over a stretching cylinder
6: Flow past a sphere
Abstract
6.1 Introduction and physical motivation
6.2 Basic equations
6.3 Solution procedure
6.4 Analysis of the result
6.5 Conclusions
7: Flow past a wedge
Abstract
7.1 Forced convection flow past a static wedge
7.2 Forced convection flow past a moving wedge
7.3 Mixed convection flow past a symmetric static/moving wedge
7.4 Non-newtonian fluid flow over a symmetric wedge
Author Index
Subject Index
No. of pages: 202
Language: English
Edition: 1
Published: September 8, 2015
Imprint: Academic Press
Hardback ISBN: 9780128037331
eBook ISBN: 9780128037850
KV
Kuppalapalle Vajravelu
Affiliations and expertise
Professor of Mathematics, University of Central Florida, Orlando, USA
SM
Swati Mukhopadhyay
Affiliations and expertise
Assistant Professor of Mathematics, University of Burdwan, West Bengal, India
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