## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

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

**ABSTRACT**

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**

PAPER SUBMITTED: 2017-10-25

PAPER REVISED: 2018-02-05

PAPER ACCEPTED: 2018-02-14

PUBLISHED ONLINE: 2018-03-04

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