A Numerical Study of the Flow Past an Impermeable Sphere Embedded in a Porous Medium

2015 ◽  
Vol 108 (3) ◽  
pp. 555-579 ◽  
Author(s):  
Gheorghe Juncu
2018 ◽  
Vol 30 (8) ◽  
pp. 083601 ◽  
Author(s):  
O. D. Makinde ◽  
Z. H. Khan ◽  
R. Ahmad ◽  
W. A. Khan

Author(s):  
M. O. Durojaye ◽  
K. A. Jamiu ◽  
F. O. Ogunfiditimi

This paper is on the numerical study of the effects of some flow parameters like Hall current, rotation, thermal diffusion (Soret) and diffusion thermo (Dufour) on unsteady magnetohydrodynamic natural convective heat and mass transfer of a viscous, rotating, electrically conducting and incompressible fluid flow past an impulsively moving vertical plate embedded in porous medium. The fundamental governing dimensionless coupled boundary layer partial differential equations are solved by the method of lines (MOL). Computations are then performed to determine the effects of the governing flow parameters. The results show that an increase in Soret number, Dufour number and Hall current parameter, causes an increase in the primary and secondary velocities of the fluid flow. As rotating parameter increases, the primary velocity of the flow decreases. Similarly, as Dufour and Soret numbers increase, the temperature and concentration profiles of the fluid flow increase. The effects of the flow parameters on primary and secondary velocity, temperature and concentration fields for externally cooling of the plate are shown graphically.


2019 ◽  
Vol 8 (3) ◽  
pp. 5795-5802 ◽  

The main objective of this paper is to focus on a numerical study of viscous dissipation effect on the steady state flow of MHD Williamson nanofluid. A mathematical modeled which resembles the physical flow problem has been developed. By using an appropriate transformation, we converted the system of dimensional PDEs (nonlinear) into coupled dimensionless ODEs. The numerical solution of these modeled ordinary differential equations (ODEs) is achieved by utilizing shooting technique together with Adams-Bashforth Moulton method of order four. Finally, the results of discussed for different parameters through graphs and tables.


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