| Summary: | This paper deals with the numerical simulation of the stagnation-point boundary-layer flow of Maxwell fluid comprising heat transfer effects past a horizontal cylinder having exponential stretching/shrinking velocity. All geometrical aspects and physical conditions portrayed under the considered model are stated by a system of governing equations in cylindrical coordinates, for which similarity transformation is carried out to get non-linear ordinary differential equations. The secant shooting method is applied to the modeled equations to glean the graphical solution for the skin friction coefficient, local Nusselt number, longitudinal velocity, temperature dispersion, and stream function. Then further discussion was carried out in light of the governing physical parameters, and the nature of dual solutions has been discussed. The results indicate that dual solutions vanish by enhancing stretching and exist only for a limited belt of the shrinking parameter. Surface heat transfer varies inversely for an increasing stretching/shrinking parameter in case of a second branch solution. Curve relocations for axial velocity and temperature have also been observed. The symmetry of the first and second solution for the flow is found to be unaltered for Newtonian and non-Newtonian fluid.
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