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

• Published in: Physica A Vol. 548; p. 123991
• Main Authors: Reddy, M. Gnaneswara, Rani, M.V. V. N.L. Sudha, Kumar, K. Ganesh, Prasannakumar, B.C., Chamkha, Ali J.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.06.2020
• Subjects: Blasius–Rayleigh–Stokes flow; Cattaneo–Christov heat flux model; Transitive magnetic field; Cattaneo–Christov heat flux model; Blasius–Rayleigh–Stokes flow; Transitive magnetic field
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2019.123991

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. •The streamline graphs are dominant for Q=2 when compared with Q=0.5.•θ(η) field rises of enhanced values of R.•An intensification in the f′(η) field is seen with the increment of ω and Q.•Interrelated thickness of the thermal boundary layer decays for higher values of Pr.•The heat transfer rate is greater in the presence of R than in the absence of R.•The presence of Q has more impact on the results when compared to the case where Q is absent.