Effect of slip on peristaltic flow of Powell-Eyring fluid in a symmetric channel

Article type: Research Article

Authors: Hayat, T.^; | Irfan Shah, S. | Ahmad, B. | Mustafa, M.

Affiliations: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan | Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia | School of Natural Sciences, National University of Sciences and Technology (NUST), Islamabad, Pakistan

Note: [] Corresponding author: T. Hayat, Tel.: +92 51 90642172, Fax: +92 51 2601171. Email: pensy_t@yahoo.com

Abstract: Peristaltic flow of non-Newtonian fluid in a symmetric channel with partial slip effect is examined. The non-Newtonian behavior of fluid is characterized by the constitutive equations of Powell-Eyring fluid. The motion is induced by a sinusoidal wave traveling along the flexible walls of channel. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The equations governing the flow are solved by adopting lubrication approach. Series solutions for the stream function and axial pressure gradient are obtained. Impact of slip and other emerging flow parameters is plotted and analyzed graphically.

DOI: 10.3233/ABB-140087

Journal: Applied Bionics and Biomechanics, vol. 11, no. 1-2, pp. 69-79, 2014