Micro and nanofluid convection with magnetic field effects for heat and mass transfer applications using MATLAB [electronic resource] / edited by Chakravarthula S.K. Raju [and more].
Front Cover -- Micro and Nanofluid Convection with Magnetic Field Effects for Heat and Mass Transfer Applications Using MATLABŪ -- 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 MATLABŪ -- 3.1 Introduction -- 3.2 Problem description -- 3.3 Method of solution -- 3.4 Algorithm and implementation of MATLABŪ -- 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 MATLABŪ -- 10.1 Introduction to MATLABŪ -- 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 MATLABŪ 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.
