Numerical solution for heat transfer of Oldroyd-B fluid over a stretching sheet using successive linearization method

The objective of this study is to find the numerical solution for the MHD flow of heat transfer to the incompressible Oldroyd-B liquid on a stretching sheet channel. The partial differential equations governing this system are converted into ordinary differential equations using similarity conversion. The resulting nonlinear equations governing the flow problem are numerically solved by the successive line method (SLM). Numerical results are derived and presented in tables for some comparisons. These comparisons are important in demonstrating the high accuracy of SLM in solving the system of nonlinear differential equations. These solutions take into account the behavior of Newtonian and non-Newtonian fluids. It is reported that Deborah number in terms of relaxation time resists and slows down the motion of fluid particles at various time instants. Temperature profile increase by increasing Deborah number in terms of relaxation time. The graphical results of various non-Newtonian parameters such as coefficient of mixed convection, Hartman, Deborah, and Prandtl number on the flow, field, and analysis are also discussed. In addition, the current results were tested and compared to the published results available in a limited manner, and an excellent agreement was reached. (C) 2020 The Authors. Published by IASE.