Flow of a Burger's Fluid in a Channel Induced by Peristaltic Compliant Walls. (28th October 2014)

• Record Type: Journal Article
• Authors: Ahmad, I.; Ali, N.; Abbasi, A.; Aziz, W.; Hussain, M.; Ahmad, M.; Taj, M.; Zaman, Q.
• Other Names: Iwamoto Takeshi Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-10-28
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/236483
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : A theoretical analysis is presented for the peristaltic motion of a magneto-hydrodynamic (MHD) non-Newtonian fluid in channel with complaint walls. The fluid obeys viscoelastic non-Newtonian model with Burger's constitutive equation. The relevant equations are first developed and then solved using perturbation technique. Expressions of stream function and velocity components are constructed under the assumption that δ (characteristic ratio of transversal and axial scales of peristaltic motion) is small. The results indicate the strong effects of Burger's fluid parameter, Hartman number, Reynolds number, and complaint wall parameters on the velocity field and stream function. The obtained solutions are shown graphically for the different values of involved parameters.