Modeling and Solution of an Unsteady Flow of a Third Grade Fluid Over an Infinite Parallel Rigid Plate Within a Porous Medium

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Published: 2023-09-18

DOI: 10.56557/ajomcor/2023/v30i48388

Page: 16-41


Haruna S. Jobin

Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria.

Simon K. Daniel

Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria.

Peter Ayuba

Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria.

Joseph K. Moses *

Department of Mathematical Sciences, Kaduna State University, Kaduna, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

It is known by many researchers that non-Newtonian fluids are regarded as important and appropriate in technological techniques and several industrial manufacturing processes such as in polymer sheet extrusion from dye, drilling of oil and gas well to mention a few. Due to such reason a model of such type of fluid called the differential type model in which the third grade fluid is categorized. The skin friction, Nusselt number, and Sherwood number through the graphs obtained, were also obtained. The nonlinear partial differential equations were solved using He – Laplace method. He – laplace method is a combination of Homotopy perturbation method with the Laplace transform method which is used in determining linear together with the nonlinear partial differential equations, and the use of He’s polynomials for the nonlinear term. Amongst many results obtained; the velocity, temperature and concentration profiles diminish due to the increase in suction parameter. Higher values of magnetic parameter decreases the fluid velocity. The temperature distribution is enhanced by the increment in radiation parameter. Upsurging values of chemical reaction decline the concentration of the fluid.

Keywords: Third grade fluid, unsteady, He-Laplace, porous medium


How to Cite

Jobin, H. S., Daniel, S. K., Ayuba, P., & Moses, J. K. (2023). Modeling and Solution of an Unsteady Flow of a Third Grade Fluid Over an Infinite Parallel Rigid Plate Within a Porous Medium. Asian Journal of Mathematics and Computer Research, 30(4), 16–41. https://doi.org/10.56557/ajomcor/2023/v30i48388

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