Melting heat and thermal radiation effects in stretched flow of an Oldroyd-B fluid

doi:10.1007/s10483-017-2218-6

Abstract

Abstract:

The incompressible flow of a non-Newtonian fluid with mixed convection along a stretching sheet is analyzed. The heat transfer phenomenon is discussed through thermal radiation. The effects of the melting heat transfer and heat generation/absorption are also taken. Suitable transformations are utilized to attain the nonlinear ordinary differential expressions. The convergent series solutions are presented. The fluid flow, temperature, and surface heat transfer rate are examined graphically. It is observed that the velocity decreases when the relaxation time increases while increases when the retardation time is constant. The results also reveal that the temperature distribution reduces when the radiation parameter increases.

Key words: magnetohydrodynamic (MHD), nonlinear Galerkin method, Kuramoto-Sivashinsky equation, infinite dimensional dynamical systems, melting heat transfer, thermal radiation, Oldroyd-B fluid, mixed convection, heat generation/absorption

2010 MSC Number:

76A05

T. HAYAT, A. KIRAN, M. IMTIAZ, A. ALSAEDI. Melting heat and thermal radiation effects in stretched flow of an Oldroyd-B fluid. Applied Mathematics and Mechanics (English Edition), 2017, 38(7): 957-968.

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