Peristaltic Hemodynamic Flow of Couple-Stress Fluids Through a Porous Medium with Slip Effect |
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Authors: | Dharmendra Tripathi |
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Institution: | 1.Department of Mathematics,Indian Institute of Technology Ropar,Rupnagar,India |
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Abstract: | The present investigation deals with a theoretical study of the peristaltic hemodynamic flow of couple-stress fluids through
a porous medium under the influence of wall slip condition. This study is motivated towards the physiological flow of blood
in the micro-circulatory system, by taking account of the particle size effect. Reynolds number is small enough and the wavelength
to diameter ratio is large enough to negate inertial effects. Analytical solutions for axial velocity, pressure gradient,
frictional force, stream function and mechanical efficiency are obtained. Effects of different physical parameters reflecting
couple-stress parameter, permeability parameter, slip parameter, as well as amplitude ratio on pumping characteristics and
frictional force, streamlines pattern and trapping of peristaltic flow pattern are studied with particular emphasis. The computational
results are presented in graphical form. This study puts forward an important observation that pressure reduces by increasing
the magnitude of couple-stress parameter, permeability parameter, slip parameter, whereas it enhances by increasing the amplitude
ratio. |
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Keywords: | |
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