Effects of Viscosity, Thermal Conductivity, and Heat Source on MHD Convective Heat Transfer in a Vertical Channel with Thermal Slip Condition

  • G. Kiran KumarEmail author
  • G. Srinivas
  • B. Suresh Babu
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The present paper aims to study the effects of nonuniform fluid viscosity and thermal conductivity on MHD flow and heat transfer of fluid in a vertical channel with heat source by considering thermal slip boundary conditions. Consideration of temperature-dependent viscosity, thermal conductivity, and magnetic parameter yields a highly nonlinear coupled system of partial differential equations. The coupled nonlinear partial differential equations governing the problem are reduced to a system of coupled highly nonlinear higher order ordinary differential equations by applying suitable similarity transformations. The system of higher order ordinary differential equations is then solved by employing Runge–Kutta sixth-order method.


Viscosity Thermal conductivity Heat source MHD Convection Thermal slip Runge–kutta sixth-order method 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Annamacharya Institute of Technology and SciencesHyderabadIndia
  2. 2.Guru Nanak Institute of TechnologyHyderabadIndia
  3. 3.Sreyas Institute of Engineering and TechnologyHyderabadIndia

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