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Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis

In this study, an investigation is made into the effects of thermophoresis and viscous dissipation on chemically steady hydromagnetic free convective boundary layer flow in a porous media. A mathematical model was designed to govern the flow used in the study of the effects of chemical reaction, magnetic field, viscous dissipation, and thermophoresis on free convective boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. This flow is observed as it moves past the plate, which is embedded in a uniform porous medium. The governing equations and their related boundary conditions have been converted into dimensionless equations by using the similarity transformations. These dimensionless equations are a boundary valued problem of coupled ordinary differential equations, and they have been solved by employing the Spectral Homotopy Analysis Method, which is a numerical approach of the traditional Homotopy Approximate Method (HAM). The Chebyshev-Gauss-Lobatto points are used to discretize the spatial domains, and numerical computation is used to determine the non-dimensional properties of the physical parameters. The SHAM solution series converges to the numerical solution with an accuracy of up to six decimal places, as demonstrated by our simulations. A parametric investigation of some of the parameters that are available is carried out, and the results for velocity, temperature, and concentration are graphically displayed, in addition to the discussion of the physical components of the issue. When the computational results from SHAM and those from the literature are compared to one another, they show a good degree of agreement with one another. It has been determined that the flow parameters have a significant impact on the flow profiles, and this connection has been investigated in depth. Findings that are really significant.

Thermophoresis, Viscous Dissipation, Porous Medium, Magnetic Effect, Chemical Reaction, Spectral Homotopy Analysis Method (SHAM)

APA Style

Chika Uchechukwu Boneze, Adeolu John Omowaye, Adeyemi Isaiah Fagbade, Ayodele Adedeji Ashefon. (2022). Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. International Journal of Applied Mathematics and Theoretical Physics, 8(2), 30-42. https://doi.org/10.11648/j.ijamtp.20220802.11

ACS Style

Chika Uchechukwu Boneze; Adeolu John Omowaye; Adeyemi Isaiah Fagbade; Ayodele Adedeji Ashefon. Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. Int. J. Appl. Math. Theor. Phys. 2022, 8(2), 30-42. doi: 10.11648/j.ijamtp.20220802.11

AMA Style

Chika Uchechukwu Boneze, Adeolu John Omowaye, Adeyemi Isaiah Fagbade, Ayodele Adedeji Ashefon. Thermophoresis and Viscous Dissipation Effect of Free Convective Boundary Layer Flow over a Porous Medium: Spectral Homotopy Analysis. Int J Appl Math Theor Phys. 2022;8(2):30-42. doi: 10.11648/j.ijamtp.20220802.11

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