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http://hdl.handle.net/2074/237
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| Title: | Casson fluid flow in a pipe filled with a homogeneous porous medium |
| Authors: | Dash, R K
Mehta, K N
Jayaraman, G |
| Keywords: | Casson fluid
homogeneous porous medium
pathological codition
cholesterol
artery-clogging
coronary artery |
| Issue Date: | 1996 |
| Citation: | International Journal of Engineering Science, 34(10), 1145-1156 |
| Abstract: | The flow characteristics of a Casson fluid in a tube filled with a homogeneous porous medium is investigated by employing the Brinkman model to account for the Darcy resistance offered by the porous medium. This analysis can model the pathological situation of blood flow when fatty plaques of cholesterol and artery-clogging blood clots are formed in the lumen of the coronary artery. Two cases of permeability of the porous medium are considered, namely (i) permeability has a constant value Ko, and (ii) permeability varies in radial direction according to K(r) = Ko(l - r)/r. The generalized equation of motion, which is an integral equation for shear stress, is solved iteratively and is coupled with the Casson constitutive equation to find the velocity distribution. For the case of constant permeability, the analytical solution is found for the shear stress distribution in terms of
modified Bessel functions of order 0 and 1. Finally, the effect of permeability factor K o and yield stress... |
| URI: | http://eprint.iitd.ac.in/dspace/handle/2074/237 |
| Appears in Collections: | Mathematics
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| dashcas96.pdf | | 211Kb | Adobe PDF | View/Open |
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