Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface

Year 2025, Volume: 17 Issue: 4, 171 - 187, 31.12.2025

Uchenna Uka , Edwin Esekhaigbe , Musa Alex , Godswill Kalu

https://doi.org/10.24107/ijeas.1626436

Abstract

The present study aims to derive an approximate solution for the viscous flow of a fluid past an oblate, continuously and nonlinearly stretched surface. The research provides a mathematical framework for understanding fluid flows and their associated heat transfer characteristics. The novelty of this study lies in its formulation and solution because of the incorporation of nonlinear exponentially stretched oblate surfaces, with thermal-dependent viscosity and conductivity for a more realistic model. By employing a similarity transformation of variables and boundary layer approximation, the governing equations are reduced to a set of highly coupled ordinary differential equations (HODEs) and solved analytically using the regular approximation method. The chosen method offers a computationally efficient alternative for solving such highly nonlinear problems (HNPs). The numerical solutions were obtained via the MATHEMATICA package. It was found that velocity and temperature distributions depend significantly on the transverse magnetic strength and the ratio of fluid kinetic energy to thermal energy. Also, the wall heat flux increases as the Prandtl number rises. Moreover, as the local thermal Grashof and Eckert numbers increase, the momentum and thermal boundary layer thicknesses expand. Thus, this investigation aims to provide insights into optimizing industrial processes involving continuous surfaces, such as extrusion and coating.

Keywords

Elastic medium , Heat flux , Hydromagnetic , Simulation , Wall gradient

Supporting Institution

None.

Thanks

Thank you.

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