Mathematical Computation of the Flow of Non-Newtonian Fluid with Heat Generation in a Cylindrical Pipe

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Published: Mar 31, 2025
Keywords:
Computational flow Newtonian-fluid, heat generation, Brinkman number, magnetic field, perturbation technique

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Akunna Ibe
Department of Mathematics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria.
Anthony Udo Akpan
Department of Mathematics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria.
Uche Anyaogu
Department of Mathematics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria.

Abstract

In this paper, a mathematical computation of flow of non-Newtonian fluid with heat generation in a cylindrical pipe is undertaken and studied using the third-grade parameter to represent the non-Newtonian parameter. The coupled system of nonlinear ordinary differential equation (ODE) is solved using the traditional perturbation technique. The results show that the third-grade parameter (????) and the magnetic field parameter(M) reduces the flow velocity and the temperature while the Brinkman number enhances the temperature of the cylindrical walls. Some quantitative and numerical result are also presented to strengthen the utility of the method.

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How to Cite
Ibe, A., Akpan, A. U., & Anyaogu, U. (2025). Mathematical Computation of the Flow of Non-Newtonian Fluid with Heat Generation in a Cylindrical Pipe. Faculty of Natural and Applied Sciences Journal of Mathematical and Statistical Computing, 2(2), 111–119. Retrieved from https://fnasjournals.com/index.php/FNAS-JMSC/article/view/787
Issue
Vol. 2 No. 2 (2025): 2025-FNAS-JMSC-2-2
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Articles

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