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Cattaneo–Christov heat flux model on Blasius–Rayleigh–Stokes flow through a transitive magnetic field and Joule heating

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  • Reddy, M. Gnaneswara
  • Rani, M.V. V. N.L. Sudha
  • Kumar, K. Ganesh
  • Prasannakumar, B.C.
  • Chamkha, Ali J.

Abstract

This article addresses the Cattaneo–Christov heat flux, radiation and joule heating model as applied to a Blasius–Rayleigh–Stokes flow through a transitive magnetic field. The mathematical models are converted into a pair of self-similarity equations by applying appropriate transformations. The reduced similarity equivalences are then solved numerically by the Runge–Kutta–Fehlberg 45th-order method. To better perceive the problem, the flow and energy transfer characteristics are explored for distinct values of different factors. From this analysis we found that Higher values of Q increase the f′η field and its interrelated thickness of the boundary layer. The temperature of the fluid and its interrelated layer thickness enhances for boost up values ofγ . Also found that the streamline graphs are dominant for Q=2 when compared with Q=0.5. The presence of Q has more impact on the results when compared to the case where Q is absent. The local RexCfx and NuxRex−12 scale back for increasing values of ω.

Suggested Citation

  • Reddy, M. Gnaneswara & Rani, M.V. V. N.L. Sudha & Kumar, K. Ganesh & Prasannakumar, B.C. & Chamkha, Ali J., 2020. "Cattaneo–Christov heat flux model on Blasius–Rayleigh–Stokes flow through a transitive magnetic field and Joule heating," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    • Handle: RePEc:eee:phsmap:v:548:y:2020:i:c:s0378437119322101
    DOI: 10.1016/j.physa.2019.123991
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