scholarly journals Convection of a Bingham Fluid in a Porous Medium

2015 ◽  
pp. 579-616
Keyword(s):  
Porous Medium ◽  
Bingham Fluid

Unsteady flow of a dusty Bingham fluid through a porous medium in a circular pipe

2016 ◽  
Vol 57 (4) ◽  
pp. 596-602 ◽  
Author(s):  
H. A. Attia ◽  
W. Abbas ◽  
A. L. Aboul-Hassan ◽  
M. A. M. Abdeen ◽  
M. A. Ibrahim
Keyword(s):  
Porous Medium ◽  
Unsteady Flow ◽  
Bingham Fluid ◽  
Circular Pipe

Effects of heat transfer on the peristaltic MHD flow of a Bingham fluid through a porous medium in a channel

2014 ◽  
Vol 07 (06) ◽  
pp. 1450060 ◽  
Author(s):  
V. P. Rathod ◽  
D. Laxmi
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Frictional Force ◽  
Amplitude Ratio ◽  
Pressure Rise ◽  
Adomian Decomposition Method ◽  
Mhd Flow ◽  
Bingham Fluid ◽  
Adomian Decomposition ◽  
Axial Pressure Gradient

In this paper, we study the effects of heat transfer on the peristaltic magneto-hydrodynamic (MHD) flow of a Bingham fluid through a porous medium in a channel. Long wavelength approximation (that is, the wavelength of the peristaltic wave is large in comparison with the radius of the channel) and low Reynolds number are used to linearize the governing equations. The velocity field for the model of interest is solved by Adomian decomposition method. The expressions for pressure rise, flow rate and frictional force are obtained. The effect of magnetic field, Darcy number, yield stress, amplitude ratio and the temperature on the axial pressure gradient, pumping characteristics and frictional force are discussed through graphs.

scholarly journals Behavior of viscoplastic rocks near fractures: mathematical modelling

2019 ◽  
Vol 489 (4) ◽  
pp. 362-367
Author(s):  
V. V. Shelukhin ◽  
A. E. Kontorovich
Keyword(s):  
Porous Medium ◽  
Pressure Gradient ◽  
Yield Stress ◽  
Bingham Fluid ◽  
Channel Width ◽  
Viscoplastic Fluid ◽  
Second Phase ◽  
Two Phase ◽  
Start Up ◽  
Flow Through

Starting from conservation laws and basic thermodynamic principles, we derive equations for a two-phase granular fluid. The first phase is the granular viscoplastic Bingham fluid and the second phase is the viscous Newtonian fluid. We perform an asymptotic analysis of the equations for the flows in the Hele-Show cell when the channel width is well much below its length. While calculating the fluid fluxes-pressure gradient relationship, we derive laws of flow of the two-phase granular viscoplastic fluid through porous media. A criterium is formulated for the start up of the granular phase flow through a porous medium. Given a yield stress, we prove that such a phase does not flow if either or both pressure gradient and channel width are small. We calculated phase flows varying phase viscosities, phase resistivities and yield stress. We reveal reasons which slow down particle intrusion into a porous medium.

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