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

Uchenna Uka; Edwin Esekhaigbe; Musa Alex; Godswill Kalu

doi:10.24107/ijeas.1626436

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

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

Supporting Institution

None.

Thanks

Thank you.

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Details

Primary Language

English

Subjects

Mechanical Engineering (Other)

Journal Section

Research Article

Authors

Uchenna Uka ^*
0000-0003-4177-3213
Nigeria

Edwin Esekhaigbe
0009-0007-5337-0856
Nigeria

Musa Alex
0009-0008-9305-6578
Nigeria

Godswill Kalu
0009-0005-1756-5731
Nigeria

Publication Date

December 31, 2025

Submission Date

January 27, 2025

Acceptance Date

November 30, 2025

Published in Issue

Year 2025 Volume: 17 Number: 4

DOI

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

IZ

https://izlik.org/JA26EA88WS

Cite

RIS / Bibtex

APA

Uka, U., Esekhaigbe, E., Alex, M., & Kalu, G. (2025). Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface. International Journal of Engineering and Applied Sciences, 17(4), 171-187. https://doi.org/10.24107/ijeas.1626436

AMA

1.Uka U, Esekhaigbe E, Alex M, Kalu G. Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface. IJEAS. 2025;17(4):171-187. doi:10.24107/ijeas.1626436

Chicago

Uka, Uchenna, Edwin Esekhaigbe, Musa Alex, and Godswill Kalu. 2025. “Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface”. International Journal of Engineering and Applied Sciences 17 (4): 171-87. https://doi.org/10.24107/ijeas.1626436.

EndNote

Uka U, Esekhaigbe E, Alex M, Kalu G (December 1, 2025) Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface. International Journal of Engineering and Applied Sciences 17 4 171–187.

IEEE

[1]U. Uka, E. Esekhaigbe, M. Alex, and G. Kalu, “Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface”, IJEAS, vol. 17, no. 4, pp. 171–187, Dec. 2025, doi: 10.24107/ijeas.1626436.

ISNAD

Uka, Uchenna - Esekhaigbe, Edwin - Alex, Musa - Kalu, Godswill. “Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface”. International Journal of Engineering and Applied Sciences 17/4 (December 1, 2025): 171-187. https://doi.org/10.24107/ijeas.1626436.

JAMA

1.Uka U, Esekhaigbe E, Alex M, Kalu G. Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface. IJEAS. 2025;17:171–187.

MLA

Uka, Uchenna, et al. “Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface”. International Journal of Engineering and Applied Sciences, vol. 17, no. 4, Dec. 2025, pp. 171-87, doi:10.24107/ijeas.1626436.

Vancouver

1.Uchenna Uka, Edwin Esekhaigbe, Musa Alex, Godswill Kalu. Approximate Solution of Viscous Flow Past an Oblate Continuous Nonlinearly Exponentially Stretched Surface. IJEAS. 2025 Dec. 1;17(4):171-87. doi:10.24107/ijeas.1626436