Viscous dissipative free convective flow from a vertical cone with heat generation/absorption, MHD in the presence of radiative non-uniform surface heat flux

Authors

  • Bapuji PULLEPU Department of Mathematics “SRM Institute of Science and Technology”, Kattankulathur, Chennai, - 603 203 e-mail: Corresponding author: bapujip@yahoo.com https://orcid.org/0000-0001-5049-5126
  • Rayampettai Munisamy KANNAN Department of Mathematics “SRM Institute of Science and Technology”, Kattankulathur, Chennai - 603 203

DOI:

https://doi.org/10.24193/subbmath.2020.1.11

Keywords:

Cone, finite difference method, heat generation/absorption, MHD, thermal radiation, viscous dissipation variable heat flux.

Abstract

The problem of combined effect of heat generation/absorption and thermal radiation on unsteady, laminar, natural convective movement with MHD, viscous dissipation over a vertical cone in the presence of variable heat flux is considered. The converted FDE’s of the flow which is of partial natured, unsteady, united and non-linear are solved numerically subject to proper boundary conditions by Crank-Nicholson scheme which is an efficient, correct and absolutely stable FDM. The velocity and thermal profiles are obtained and analyze to expose the outcome of heat generation/absorption and thermal radiation at different values of the MHD, Prandtl numeral, viscous dissipation and the exponent in the power law difference of the surface heat flux. The local as well as average shear stress and heat transfer rate are accessible and analyzed. The present outcome is compared by available outcome in literature and is originate to exist in excellent conformity.

Mathematics Subject Classification (2010): 65M06, 76R10.

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Published

2020-03-06

How to Cite

PULLEPU, B., & KANNAN , R. M. (2020). Viscous dissipative free convective flow from a vertical cone with heat generation/absorption, MHD in the presence of radiative non-uniform surface heat flux. Studia Universitatis Babeș-Bolyai Mathematica, 65(1), 139–160. https://doi.org/10.24193/subbmath.2020.1.11

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