Micro and Nanofluid Convection with Magnetic Field Effects for Heat and Mass Transfer Applications using MATLAB®

Description

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. Front Cover Micro and Nanofluid Convection with Magnetic Field Effects for Heat and Mass Transfer Applications Using MATLAB® Copyright Page Contents List of contributors About the editors Preface 1 Background to micro- and nanofluids References 2 Mathematical modeling of equations of couple stress fluid in respective coordinates 2.1 Basic flow equations 2.2 Equations of motion 2.3 Equations of motion by stress tensor 2.3.1 In the Cartesian coordinates system 2.3.2 In the cylindrical coordinates system 2.3.3 In the spherical coordinates system 2.4 Equations of motion by vector calculus 2.4.1 In the Cartesian coordinates system 2.4.2 In the cylindrical coordinates system 2.4.3 In the spherical coordinates system References 3 Mathematical model of steady incompressible nanofluid for heat transfer applications using MATLAB® 3.1 Introduction 3.2 Problem description 3.3 Method of solution 3.4 Algorithm and implementation of MATLAB® 3.5 Results and discussion 3.6 Conclusion References 4 Mathematical model for an incompressible unsteady nanofluid flow with heat transfer application 4.1 Introduction 4.2 Formulation of the problem 4.3 Results and discussion 4.4 Conclusion References 5 Mathematical model for incompressible unsteady nanofluid fluid flow with heat and mass transfer application Nomenclature 5.1 Introduction 5.2 Mathematical formulation 5.3 Results and discussion 5.4 Conclusions References 6 Stefan blowing effect on nanofluid flow over a stretching sheet in the presence of a magnetic dipole Nomenclature 6.1 Introduction 6.2 Mathematical formulation 6.2.1 Conditions and assumptions of the model 6.2.2 Geometry of fluid flow 6.2.3 Model equations 6.2.4 Nonuniform heat source/sink 6.2.5 Magnetic dipole 6.3 The solution to the problem 6.3.1 Expression of parameters 6.3.2 Physical quantities of interest 6.4 Numerical method 6.4.1 Convergence and error tolerance 6.5 Results and discussion 6.5.1 Velocity and thermal profile 6.5.2 Concentration profile 6.5.3 Physical quantities of practical interest 6.6 Conclusions References 7 Nonlinear unsteady convection on micro and nanofluids with Cattaneo-Christov heat flux Nomenclature 7.1 Introduction 7.2 Problem developments 7.3 Graphical outcomes and discussion 7.4 Conclusions References 8 Comparison of steady incompressible micropolar and nanofluid flow with heat and mass transfer applications 8.1 Introduction 8.2 Formulation 8.3 Entropy generation 8.4 Numerical procedure 8.5 Results and discussion 8.6 Concluding remarks References 9 Comparison of unsteady incompressible micropolar and nanofluid flow with heat transfer applications 9.1 Introduction 9.2 Formulation of the problem 9.3 Results and discussion 9.3.1 Velocity distribution 9.3.2 Angular momentum distribution 9.3.3 Temperature distribution 9.3.4 Nusselt distribution 9.4 Conclusion References 10 Implementation of boundary value problems in using MATLAB® 10.1 Introduction to MATLAB® 10.1.1 Plotting of curves and surfaces 10.2 Vector field and gradient 10.2.1 Aim 10.3 Limits and continuity 10.3.1 Aim 10.4 Definite integrals and their applications 10.4.1 Aim 10.5 Local maxima and local minima 10.5.1 Aim 10.6 Lagrange’s multipliers method 10.6.1 Aim 10.7 Multiple integrals 10.7.1 Aim 10.7.2 Volume of a solid region 10.7.3 Change of variables: polar coordinates 10.8 Applications of derivatives 10.8.1 Aim 10.8.2 Maximum and minimum for a single variable 10.9 Case study 10.9.1 Introduction 10.9.2 Methodology 10.9.3 MATLAB® implementation 10.9.4 Results and discussion 10.9.5 Conclusion 10.10 Navier–Stokes equation solving using an ODE solver 10.11 Solving the initial value problem 10.12 Solving two coupled nonlinear equations 10.13 Interpreting the results Further reading Appendix 1 Index Back Cover