Non-linear Mathematical Model for Peristaltic Motion of Bio-fluids in a Channel and Tube
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D. S. Sankar
Abstract
The peristaltic transport of Casson fluid in a channel and also in an inclined tube is analyzed mathematically, using long wavelength approximation and low Reynolds number assumption. The expressions for the velocity, stream function, flow rate, pressure rise and frictional force at the wall are obtained. It is found that the pressure rise decreases with the increase of the time mean flow rate and angle of inclination and increases with the increase of stress ratio and amplitude ratio. It is also noticed that the frictional force increases with the increase of the stress ratio and decreases with the increase of the angle of inclination. The estimates of the increase in the pressure rise are higher in channel flow compared to that of the inclined tube flow and the estimates of the increase in the frictional force are higher in inclined tube flow compared to that of the channel flow.
©2012 by De Gruyter
Articles in the same Issue
- Frontmatter
- Investigations of Evaluating Energy of Blast-induced Seismic Wave by Pressure in Elastic Zone
- Dynamic Growth and Coalescence of Drilled Voids in Pure Copper Sheets
- Energy Absorption Characteristics of Closed-cell AZ91 Magnesium Alloy Foam
- The Expansion Model of Debris Cloud Induced by Oblique Hypervelocity Impact
- Study on Dynamic Response of Visco-elastic Plate Under Transverse Periodic Load
- Ballistic Impact Characteristics of Flat-nose Projectile Penetrating Concrete and Soil Compound Target
- Non-linear Mathematical Model for Peristaltic Motion of Bio-fluids in a Channel and Tube
- Mass Loss and Nose Shape Change on Ogive-nose Steel Projectiles During Concrete Penetration
- Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus
- The Soret Effect with the D1Q2 and D2Q4 Lattice Boltzmann Model
- Error Estimates of Homogenization Theory
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Articles in the same Issue
- Frontmatter
- Investigations of Evaluating Energy of Blast-induced Seismic Wave by Pressure in Elastic Zone
- Dynamic Growth and Coalescence of Drilled Voids in Pure Copper Sheets
- Energy Absorption Characteristics of Closed-cell AZ91 Magnesium Alloy Foam
- The Expansion Model of Debris Cloud Induced by Oblique Hypervelocity Impact
- Study on Dynamic Response of Visco-elastic Plate Under Transverse Periodic Load
- Ballistic Impact Characteristics of Flat-nose Projectile Penetrating Concrete and Soil Compound Target
- Non-linear Mathematical Model for Peristaltic Motion of Bio-fluids in a Channel and Tube
- Mass Loss and Nose Shape Change on Ogive-nose Steel Projectiles During Concrete Penetration
- Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus
- The Soret Effect with the D1Q2 and D2Q4 Lattice Boltzmann Model
- Error Estimates of Homogenization Theory
- Complex Population Dynamics in Heterogeneous Environments: Effects of Random and Directed Animal Movements
