American Journal of Mathematics and Statistics
p-ISSN: 2162-948X e-ISSN: 2162-8475
2015; 5(5): 272-284
doi:10.5923/j.ajms.20150505.08
Khaled K. Jaber
Department of Mathematics, Faculty of Science and information technology, Zarqa University, Zarqa, Jordan
Correspondence to: Khaled K. Jaber, Department of Mathematics, Faculty of Science and information technology, Zarqa University, Zarqa, Jordan.
Email: |
Copyright © 2015 Scientific & Academic Publishing. All Rights Reserved.
In this paper magneto hydrodynamics free-convective fluid flow in a vertical porous channel rotates with a uniform angular velocity Ω about the axis normal to the plates in the presence of Hall current, viscous dissipation and Joule heating is investigated. The flow is subjected to a strong transverse magnetic field. A constant suction and injection is applied to the two insulating porous plates. The Boussinesq approximation is neglected due to the large temperature differences between the plate and the ambient fluid. Suitable transformations are used to convert the governing system into dimensionless nonlinear partial differential equations that are solved numerically. The effects of magnetic parameter, Grashof number, Eckert number and other involved parameters on the velocity and temperature functions have been studied parametrically. All parameters involved in the problem affect the flow and thermal distributions. Numerical values of the local, skin-friction and the local Nusselt numbers for various parametric conditions have been tabulated.
Keywords: Free convective, Porous channel, Hall current, Viscous dissipation, Joule heating
Cite this paper: Khaled K. Jaber, Influence of Hall Current and Viscous Dissipation on MHD Convective Heat and Mass Transfer in a Rotating Porous Channel with Joule Heating, American Journal of Mathematics and Statistics, Vol. 5 No. 5, 2015, pp. 272-284. doi: 10.5923/j.ajms.20150505.08.
Figure 1. Physical configuration of the problem |
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Figure 2. Effect of Ec on the primary flow velocity profiles U with M = 2, m = Ha = Sc = 1, ξ = Q_{h} =0.1, and G r = Gm = 2 |
Figure 3. Effect of Ec on the secondary flow velocity profiles V with M = 2, m = Ha = Sc=1, ξ = Q_{h} =0.1, and G r = Gm = 2 |
Figure 4. Effect of Ec on the temperature transfer profiles with M = 2, m = Ha =Sc=1, ξ = Q_{h} =0.1, and G r= Gm = 2 |
Figure 5. Effect of Gm on the primary flow velocity profiles U with M = 2, m = Ha= Ec =Sc=1, ξ = Q_{h} =0.1, and G r = 2 |
Figure 6. Effect of Gm on the secondary flow velocity profiles V with M = 2, m = Ha = Ec = Sc=1, ξ = Q_{h} =0.1, and G r = 2 |
Figure 7. Effect of Gm on the temperature profile M = 2, m = Ha= Ec = Sc = 1, ξ = Q_{h} = 0.1, and G r = 2 |
Figure 8. Effect of Gr on the primary flow velocity profiles U with M = 2, m = Ha= Ec =Sc=1, ξ = Q_{h} =0.1, and G m = 2 |
Figure 9. Effect of Gr on the secondary flow velocity profiles V with M = 2, m = Ha= Ec =Sc=1, ξ = Q_{h} =0.1, and G m = 2 |
Figure 10. Effect of Gr on the temperature transfer profiles with M = 2, m = Ha= Ec =Sc=1, ξ = Q_{h} =0.1, and G m = 2 |
Figure 11. Effect of m on the primary flow velocity profiles U with M = 2, Ha =Sc=1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 12. Effect of m on the secondary flow velocity profiles V with M = 2, Ha =Sc=1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 13. Effect of Ha on the primary flow velocity profiles U with M = 2, m = Sc=1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 14. Effect of Ha on the secondary flow velocity profiles V with M = 2, m = Sc=1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 15. Effect of Ha on the temperature transfer profiles with M = 2, m = Sc=1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 16. Effect of M on the primary flow velocity profiles U with Ha = m = Sc =1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 17. Effect of M on the secondary flow velocity profiles V with Ha = m = Sc =1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 18. Effect of M on the temperature transfer profiles with Ha = m = Sc =1, ξ = Q_{h} = Ec =0.1, and G r= Gm = 2 |
Figure 19. Effect of Sc on the primary flow velocity profiles U with M = 2, Ha = m =1, ξ = Ec = Qh = 0.1, and G r= Gm = 2 |
Figure 20. Effect of Sc on the secondary flow velocity profiles V with M = 2, Ha = m =1, ξ = Ec = Qh = 0.1, and G r= Gm = 2 |
Figure 21. Effect of Sc on the mass transfer profiles with M = 2, Ha = m =1, ξ = Ec = Qh = 0.1, and G r= Gm = 2 |
Figure 22. Effect of on the primary flow velocity profiles U with M = 2, Ec = Ha = m =1, Ec = Qh = 0.1, and G r= Gm = 2 |
Figure 23. Effect of on the secondary flow velocity profiles V with M = 2, Ec = Ha = m =1, Ec = Qh = 0.1, and G r= Gm = 2 |
Figure 24. Effect of on the mass transfer profiles with M = 2, Ec = Ha = m =1, Ec = Qh = 0.1, and G r= Gm = 2 |
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