scholarly journals MHD two-phase fluid flow and heat transfer with partial slip in an inclined channel

2016 ◽  
Vol 20 (5) ◽  
pp. 1435-1446 ◽  
Author(s):  
Zaheer Abbas ◽  
Jafar Hasnain ◽  
Muhammad Sajid

The aim of this paper is to investigate the velocity and thermal slip effects in MHD flow and heat transfer of two-phase viscous fluid. It is assumed that both the phases have different densities, viscosities and electrical conductivities. The fully developed flow governed by a constant pressure gradient is passing through an inclined channel having inclination f with horizontal axis. The electrical conductivity in phase I is assumed to be zero so that the constant applied magnetic field of strength B0 in the transverse direction only effect the fluid in phase II. The method of successive approximation is used to develop the analytic solution of order 1 for the developed dimensionless coupled ordinary differential equations. The main focus is to discuss the influence of velocity and thermal slip parameters and Hartmann number on the velocity and temperature profiles.


2014 ◽  
Vol 69 (10-11) ◽  
pp. 553-561 ◽  
Author(s):  
Zaheer Abbas ◽  
Jafar Hasnain ◽  
Muhammad Sajid

AbstractAn analysis is carried out to study magnetohydrodynamic (MHD) flow and heat transfer of two immiscible fluids in an inclined channel. The channel is filled with couple stress fluid in one region and a viscous fluid in the other region. The viscous fluid is assumed to be electrically conducting. The governing equations are modelled using the fully developed flow conditions. A closed form solutions of velocity and the temperature profiles are obtained by using perturbation method. The physical interpretation of the emerging parameters of interest on the velocity and temperature distributions are shown through graphs and discussed in detail.





2020 ◽  
Vol 7 ◽  

This paper studies the effects of Hall and ion slip on two dimensional incompressible flow and heat transfer of an electrically conducting viscous fluid in a porous medium between two parallel plates, generated due to periodic suction and injection at the plates. The flow field, temperature and pressure are assumed to be periodic functions in ti e ω and the plates are kept at different but constant temperatures. A numerical solution for the governing nonlinear ordinary differential equations is obtained using quasilinearization method. The graphs for velocity, temperature distribution and skin friction are presented for different values of the fluid and geometric parameters.



2017 ◽  
Author(s):  
Norshafira Ramli ◽  
Syakila Ahmad ◽  
Ioan Pop




CFD letters ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 52-61
Author(s):  
Haliza Rosali ◽  
Mohd Noor Badlilshah ◽  
Mohamat Aidil Mohamat Johari ◽  
Norfifah Bachok

Boundary layer flow and heat transfer over a stretching sheet in a porous medium has many applications in industrial processes. The effect of porosity plays a significant role in determining the behaviour of the fluid flow. Based on that, we analyzed the unsteady boundary layer stagnation point flow and heat transfer towards a stretching sheet by considering the porosity. The velocity and thermal slip effects are taken into consideration in the present analysis. The governing non-linear partial differential equations were transformed into a system of nonlinear ordinary differential equations using similarity transformation. The resulting ordinary differential equations were solved numerically using the shooting method in Maple software. Numerical results for the dimensionless velocity profile, temperature profile, skin friction coefficients and the local Nusselt number are presented for various parameters. The effect of dimensionless material parameter, thermal slip effect and velocity slip effect on the flow field is also discussed. It is found that the skin friction coefficients decrease whereas the local Nusselt number increases with the increase in permeability parameter.



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