MHD stagnation point flow and heat transfer in viscoelastic fluid with Cattaneo–Christov heat flux model

Abstract This article presents an analysis of stagnation point of coupled flow and heat transfer of an upper-convected Maxwell fluid over a stretching sheet along with magnetic effects and slip condition at the boundary. The recently proposed Cattaneo–Christov model is employed in the energy equation to investigate the effects of thermal relaxation time. Similarity transformations are adopted to convert the governing partial differential equations into ordinary differential equations. Numerical solution of the system of ODEs is achieved by shooting method together with Runge–Kutta method of order four. The effects of stretching ratio parameter (0 ≤ e ≤ 0.5), elasticity number (0 ≤ β ≤ 1.5), heat flux relaxation time (0 ≤ γ ≤ 1.5), magnetic parameter (0 ≤ M ≤ 1.5), slip coefficient (1 ≤ b ≤ 4) and Prandtl number (0 ≤ Pr ≤ 1.5) on velocity and temperature are investigated graphically and numerically. It is observed that temperature boosts up with an increase in thermal relaxation time.

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