Mixed convective flow of immiscible viscous fluids in a vertical channel

2010 ◽  
Vol 40 (1) ◽  
pp. 1-25 ◽  
Author(s):  
J. Prathap Kumar ◽  
J.C. Umavathi ◽  
Basavaraj M. Biradar
2010 ◽  
Vol 34 (5) ◽  
pp. 1175-1186 ◽  
Author(s):  
J. Prathap Kumar ◽  
J.C. Umavathi ◽  
Ali J. Chamkha ◽  
Ioan Pop

2020 ◽  
Vol 25 (4) ◽  
pp. 148-161
Author(s):  
C.R. Makhalemele ◽  
L. Rundora ◽  
S.O. Adesanya

AbstractIn this paper, the mixed convective flow of an electrically conducting, viscous incompressible couple stress fluid through a vertical channel filled with a saturated porous medium has been investigated. The fluid is assumed to be driven by both buoyancy force and oscillatory pressure gradient parallel to the channel plates. A uniform magnetic field of strength B0 is imposed transverse to the channel boundaries. The temperature of the right channel plate is assumed to vary periodically, and the temperature difference between the plates is high enough to induce radiative heat transfer. Under these assumptions, the equations governing the two-dimensional couple stress fluid flow are formulated and exact solutions of the velocity and the temperature fields are obtained. The effects of radiation, Hall current, porous medium permeability and other various flow parameters on the flow and heat transfer are presented graphically and discussed extensively.


2020 ◽  
Vol 142 (4) ◽  
Author(s):  
K. M. Renu ◽  
Ashok Kumar

Abstract This work addresses the magnetic and radiation effects on the fully developed mixed convective flow in a vertical channel occupied by a porous medium with the thermal nonequilibrium state. The assumption that the fluid is electrically conducted is taken into account and permitted by a uniform transversal magnetic field while the temperature of the wall is changing linearly with the direction of the fluid flow. The spectral collocation technique is used for the numerical solution, whereas the analytical solution is governed for the special case when the drag force F* and the ratio of porosity-scaled thermal conductivity γ are zero. It is observed that, in the buoyancy assisted case, the fluid flow for Ra<102, (Nuf) increased near the wall with increasing the Hartmann number (M). Beyond this when Ra≥102, (Nuf) is decreased with increasing M. It is also perceived that there exists an interval [0,H0] in which (Nuf) increases with increasing M as well as increasing radiation parameter Rd, furthermore beyond the value of H0, Nuf decreasing asymptotically. While for the buoyancy opposed case, the flow separation and inflection point appear in the velocity profile for different values of M, further both the flow separation and inflection point are dying out as M increases. Overall, for the both cases, the magnetic and radiation parameters are stabilizing the flow in the system.


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