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

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