Numerical solution of MHD Casson fluid flow with variable properties across an inclined porous stretching sheet

K. Veera Rddy; G. Venkata Ramana Reddy; Ali Akgül; Rabab Jarrar; Hussein Shanak; Jihad Asad; K. Veera Rddy; G. Venkata Ramana Reddy; Ali Akgül; Rabab Jarrar; Hussein Shanak; Jihad Asad

doi:10.3934/math.20221124

AIMS Mathematics

2022, Volume 7, Issue 12: 20524-20542. doi: 10.3934/math.20221124

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Research article

Numerical solution of MHD Casson fluid flow with variable properties across an inclined porous stretching sheet

1.
Department of Mathematics, Madhira Institute of Technology and Science (MITS), Paleannaram, Telangana, India
2.
Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, India
3.
Siirt University, Art and Science Faculty, Department of Mathematics, Siirt 56100, Turkey
4.
Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia /Mersin 10, Turkey
5.
Dep. of Physics, Faculty of Applied Sciences, Palestine Technical University-Kadoorie, Tulkarm P305, Palestine

Received: 22 June 2022 Revised: 15 August 2022 Accepted: 18 August 2022 Published: 19 September 2022
MSC : 76A05, 76M30, 35Q35

The dynamics of Casson nanofluid with chemically reactive and thermally conducting medium past an elongated sheet was investigated in this work. Partial differential equations were used in the flow model (PDEs). The governing equations can be converted into system of ordinary differential equations. Using the R-K method and shooting techniques, the altered equations were numerically resolved. The impact of relevant flow factors was depicted using graphs while computations on engineering quantities of interest are tabulated. The velocity profiles were observed to degrade when the visco-inelastic parameter (Casson) and magnetic parameter (M) were set to a higher value. An increase in magnetic specification's value has been observed to decrease the distribution of velocity. A huge M value originates the Lorentz force which can degenerate the motion of an electrically conducting fluids. Physically, the multiplication of electrical conductivity $ \left(\sigma \right) $ and magnetic force's magnitude possess electromagnetic force which drag back the fluid motion. As a result, as Gm rises, the mass buoyancy force rises, causing the velocity distribution to widen. The contributions of variable thermal conductivity and variable diffusion coefficient on temperature and concentration contours respectively have been illustrated. The boundary layer distributions degenerate as the unsteadiness parameter (A) is increased. The outcomes of this agrees with previous outcomes.
- MHD,
- porous medium,
- PDE,
- casson fluid,
- thermal radiation,
- chemical reaction
Citation: K. Veera Rddy, G. Venkata Ramana Reddy, Ali Akgül, Rabab Jarrar, Hussein Shanak, Jihad Asad. Numerical solution of MHD Casson fluid flow with variable properties across an inclined porous stretching sheet[J]. AIMS Mathematics, 2022, 7(12): 20524-20542. doi: 10.3934/math.20221124

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Abstract

The dynamics of Casson nanofluid with chemically reactive and thermally conducting medium past an elongated sheet was investigated in this work. Partial differential equations were used in the flow model (PDEs). The governing equations can be converted into system of ordinary differential equations. Using the R-K method and shooting techniques, the altered equations were numerically resolved. The impact of relevant flow factors was depicted using graphs while computations on engineering quantities of interest are tabulated. The velocity profiles were observed to degrade when the visco-inelastic parameter (Casson) and magnetic parameter (M) were set to a higher value. An increase in magnetic specification's value has been observed to decrease the distribution of velocity. A huge M value originates the Lorentz force which can degenerate the motion of an electrically conducting fluids. Physically, the multiplication of electrical conductivity $ \left(\sigma \right) $ and magnetic force's magnitude possess electromagnetic force which drag back the fluid motion. As a result, as Gm rises, the mass buoyancy force rises, causing the velocity distribution to widen. The contributions of variable thermal conductivity and variable diffusion coefficient on temperature and concentration contours respectively have been illustrated. The boundary layer distributions degenerate as the unsteadiness parameter (A) is increased. The outcomes of this agrees with previous outcomes.

References

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