International Journal of Nonlinear Analysis and Applications

Viscous dissipation and thermal radiation effects on the flow of Maxwell nanofluid over a stretching surface

Document Type : Research Paper

Authors

1 Department of Humanities and Sciences(Mathematics), CVR College of Engineering, Hyderabad, Telangana State, India

2 Department of Mathematics, GITAM University, Hyderabad, Telangana State, India

3 Department of Humanities and Sciences(Mathematics), CVR College of Engineering, Hyderabad,Telangana State, India.

Abstract

An analysis is made to examine the viscous dissipation and thermal effects on magneto hydrodynamic mixed convection stagnation point flow of Maxwell nanofluid passing over a stretching surface. The governing partial differential equations are transformed into a system of ordinary differential equations by utilizing similarity transformations. An effective shooting technique of Newton is utilize to solve the obtained ordinary differential equations. Furthermore, we compared our results with the existing results for especial cases. which are in an excellent agreement. The effects of sundry parameters on the velocity, temperature and concentration distributions are examined and presented in the graphical form. These non-dimensional parameters are the velocity ratio parameter (A), Biot number (Bi), Lewis number (Le), magnetic parameter (M), heat generation/absorption coefficients (A∗,B∗), visco-elastic parameters (β), Prandtl number (Pr), Brownian motion parameter (Nb),  Eckert number (Ec), Radiation parameter (R) and local Grashof number (Gc; Gr).
An analysis is made to examine the viscous dissipation and thermal effects on magneto hydrodynamic mixed convection stagnation point flow of Maxwell nanofluid passing over a stretching surface. The governing partial differential equations are transformed into a system of ordinary differential equations by utilizing similarity transformations. An effective shooting technique of Newton is utilize to solve the obtained ordinary differential equations. Furthermore, we compared our results with the existing results for especial cases. which are in an excellent agreement. The effects of sundry parameters on the velocity, temperature and concentration distributions are examined and presented in the graphical form. These non-dimensional parameters are the velocity ratio parameter (A), Biot number (Bi), Lewis number (Le), magnetic parameter (M), heat generation/absorption coefficients (A∗,B∗), visco-elastic parameters (β), Prandtl number (Pr), Brownian motion parameter (Nb),  Eckert number (Ec), Radiation parameter (R) and local Grashof number (Gc; Gr).

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 1267-1287
  • Receive Date: 17 October 2019
  • Revise Date: 14 March 2020
  • Accept Date: 24 March 2020