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Muhammad Waqas ,* a , Muhammad Ijaz Khan a , Tasawar Hayat a,b and Ahmed Alsaedi b 3 a Department of Mathematics, Quaid-I-Azam University 45320 Islamabad 44000, Pakistan 4 b Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of 5 Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, 6 Saudi Arabia 7 *Corresponding author E-mail: mw_qau88@yahoo.com (M. Waqas) 8 Abstract: This research addresses heat generation and mixed convection characteristics in 9 Burgers fluid flow induced by moving surface considering temperature-dependent conductivity. 10 The novel revised Fourier-Fick relations covering heat/mass paradoxes are introduced 11 simultaneously. Boundary layer concept is implemented for simplification of mathematical model 12 of considered physical problem. Compatible transformations are utilized to transform partial 13 differential system into ordinary ones. The idea of homotopic scheme is employed to establish 14 convergent series solutions. The mechanisms of heat/mass transportation are elaborated 15 graphically by constructing graphs for distinct values of physical constraints. We noticed higher 16 temperature and concentration for Fourier-Fick situations when compared with revised 17 Fourier-Fick situations. Furthermore, an increment in variable conductivity factor yields higher 18 temperature and related thickness of thermal layer. The obtained results are compared with 19 available literature in a limiting manner and reasonable agreement is found. 20

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