On Joule heating magnetized axisymmetric Cross fluid model: A computational statistics

Khalil Ur Rehman, Farah Jabeen Awan, Aqeela Qaiser and A. Mehmood

Physica A: Statistical Mechanics and its Applications, 2019, vol. 534, issue C

Abstract: The article reports analysis on magnetized Cross fluid flow along with the Joule heating effect over a radially stretching surface. The flow narrating mathematical model is obtained in terms of coupled partial differential equations. By utilizing the boundary layer theory the active part of system is retained and by applying the suitable transformations we achieved the dimensionless mathematical system. Both the transformed momentum and energy equations are solved with the help of shooting method. The impact of involved parameters are examined. The quantity of interest in this direction includes the velocity and temperature profiles of Cross fluid. It is noticed that the Cross fluid velocity decreases towards positive values of Weissenberg number, Power law index and magnetic field parameter. The thermal boundary shows an uplift for increment in Eckert number, and heat generation parameter, while the decline nature is observed in Cross fluid temperature against positive values of both the heat absorption parameter and magnetic field parameter. The surface quantity namely, the local skin friction increases with the increment of Weissenberg number whereas, it reflects opposite results for the Power law index. The obtained results are validated by developing comparison with existing results which confirms the execution of computational algorithm.

Keywords: Cross fluid model; MHD; Heat transfer; Joule heating; Shooting method (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312403

DOI: 10.1016/j.physa.2019.122134

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