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A generalized Fourier and Fick's perspective for stretching flow of burgers fluid with temperature-dependent thermal conductivity

Waqas Muhammad (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan)
Khan Muhammad Ijaz (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan)
Hayat Tasawar (Department of Mathematics, Quaid-I-Azam University Islamabad , Pakistan + King Abdulaziz University, Faculty of Science, Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Jeddah, Saudi Arabia)
Alsaedi Ahmed (King Abdulaziz University, Faculty of Science, Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Jeddah, Saudi Arabia)

This research addresses heat generation and mixed convection characteristics in Burgers fluid-flow induced by moving surface considering temperature-dependent conductivity. The novel revised Fourier-Fick relations covering heat/mass paradoxes are introduced simultaneously. Boundary-layer concept is implemented for simplification of mathematical model of considered physical problem. Compatible transformations are utilized to transform partial differential system into ordinary ones. The idea of homotopic scheme is employed to establish convergent series solutions. The mechanisms of heat-mass transportation are elaborated graphically by constructing graphs for distinct values of physical constraints. We noticed higher temperature and concentration for Fourier-Fick situations when compared with revised Fourier-Fick situations. Furthermore, an increment in variable conductivity factor yields higher temperature and related thickness of thermal layer. The obtained results are compared with available literature in a limiting manner and reasonable agreement is found.

Keywords: Revised Fourier-Fick relations, heat generation, Burgers fluid, Mixed convection, Temperature-dependent conductivity.