INFLUENCE OF SLIP CONDITION ON PERISTALTIC TRANSPORT OF A VISCOELASTIC FLUID WITH FRACTIONAL BURGER'S MODEL

• Main Authors: Dharmendra TRIPATHI, Praveen Kumar GUPTA, Subir Das
• Format: Article
• Language: English
• Published: VINCA Institute of Nuclear Sciences 2011-01-01
• Series: Thermal Science
• Subjects: fractional Burgers fluid; pressure difference; friction force; homotopy analysis method
• Online Access: http://thermalscience.vinca.rs/2011/2/19

The investigation is to explore the transportation of a viscoelastic fluid with fractional Burgers' model by peristalsis through a channel under the influence of wall slip condition. This analysis has been carried out under the assumption of long wavelength and low Reynolds number. An approximate analytical solution of the problem is obtained by using Homotopy Analysis method (HAM). It is assumed that the cross-section of the channel varies sinusoidally along the length of channel. The expressions for axial velocity, volume flow rate and pressure gradient are obtained. The effects of fractional parameters α and β, material constants λ1, λ2, λ3, slip parameter k and Φ amplitude on the pressure difference and friction force across one wavelength are discussed numerically and with the help of illustrations.