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Advances in Fluid Dynamics pp 381–392Cite as

Influence of Heat Generation/Absorption on 3D Magnetohydrodynamic Casson Fluid Flow Over a Porous Stretching Surface

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The objective of this numerical analysis is to describe the motion of a magnetohydrodynamic non-Newtonian fluid flow generated by a linear stretching surface with porous medium. The shear stresses defined for Casson fluid model are reduced into the form of nonlinear ODEs with the help of similarity transformations. The translated equations are solved numerically by applying shooting technique along with RKF algorithm. The results are examined for distinct values of physical parameters and are displayed through graphs. It is found that the magnetic field and heat generations are responsible for high heat transfer rate in the fluid flow.

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Author information

Authors and Affiliations

  1. Department of Mathematics, SAS, Vellore Institute of Technology, Vellore, Tamil Nadu, 632014, India

    Nainaru Tarakaramu & P. V. Satya Narayana

Authors
  1. Nainaru Tarakaramu
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  2. P. V. Satya Narayana
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Corresponding author

Correspondence to P. V. Satya Narayana .

Editor information

Editors and Affiliations

  1. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Vellore Institute of Technology, Vellore, Tamil Nadu, India

    R. Sivaraj

  3. University of Botswana, Gaborone, Botswana

    J. Prakash

Appendix

Appendix

Heat absorption parameter \(= H = \frac{{Q_{0} }}{{a(\rho c)_{f} }}\), Porous medium \(= K_{p} = \frac{\upsilon }{{K_{a} }}\), Magnetic field parameter \(= M = \frac{{\sigma H_{0}^{2} }}{{\rho_{f} a}}\), Prandtl number \(= \Pr = \left( {\upsilon /\alpha_{m} } \right)\), Casson fluid parameter \(= \chi = \mu_{0} \sqrt {2\pi c} /p_{y}\), Kinematic viscosity \(= \upsilon = \mu /\rho_{f}\), Stretching ratio parameter \(= \lambda = b/a\), \(\mu_{0}\) Plastic dynamic viscosity of non-Newtonian fluid.

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Tarakaramu, N., Satya Narayana, P.V. (2021). Influence of Heat Generation/Absorption on 3D Magnetohydrodynamic Casson Fluid Flow Over a Porous Stretching Surface. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_30

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_30

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

  • eBook Packages: EngineeringEngineering (R0)

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