We execute the boundary layer analysis to illustrate the impacts of changing thermal conductivity and thermophoretic forces on steady state of MHD non-Newtonian fluid flow of Casson type with existence of uniform transverse magnetic field along a permeable stretching circular tube and Joule heating. The initiated PDEs controlling the case pattern is mutated into a non-dimensional system due to proper similarity transformation. The problem is stated in such a manner that the PDEs describing the flow, temperature and concentration distributions are reduced to ODEs, which are solved numerically implementing an implicit finite-difference approach. The plotted graphs analyzed the attitude of multiple physical impacts of involving factors on the flow attitude of non-Newtonian velocity, temperature and concentration. Through the involving factors, both of skin friction and Nusselt number are manifested and interpreted amply. A new outcome for drag force and Nusselt number experienced by the key factors is depicted. An increment of viscoelastic (Casson) factor decelerates the flow and also reduces thermal and concentration boundary layer thickness. Augmentation in thermophoretic factor λ results in the thermophoretic forces that encapsulate the mass transmit. As a particular case, the governing field equations of a classical Newtonian liquid are given, by dropping the Casson factor impact.

Casson fluid, stretching cylinder, thermal conductivity, finite difference, viscous dissipation, thermophoretic.

Received: June 12, 2022; Accepted: July 5, 2022; Published: August 5, 2022

How to cite this article: T. H. Al-Arabi, H. R. Ibrahim and A. Mahdy, Thermal conductivity and thermophoretic impacts on MHD non-Newtonian fluid flow outside a permeable stretching cylinder, Advances and Applications in Fluid Mechanics 29 (2022), 1-26. http://dx.doi.org/10.17654/0973468622005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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