Peristaltic motion of Carreau fluid in a channel with convective boundary conditions

Article type: Research Article

Authors: Hayat, T.^; | Yasmin, Humaira | Alsaedi, A.

Affiliations: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan | Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Note: [] Corresponding author: Humaira Yasmin, Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan. Tel.: + 92 51 90642172; E-mail: [email protected]

Abstract: We investigate the peristaltic motion of Carreau fluid in an asymmetric channel with convective boundary conditions. Mathematical formulation is first reduced in a wave frame of reference and then solutions are constructed by long wavelength and low Reynolds number conventions. Results of the stream function, axial pressure gradient, temperature and pressure rise over a wavelength are obtained for small Weissenberg number. Velocity and temperature distributions are analyzed for different parameters of interest. A comparative study between the results of Newtonian and Carreau fluids is given.

Keywords: Asymmetric channel, Carreau fluid and convective conditions

DOI: 10.3233/ABB-140094

Journal: Applied Bionics and Biomechanics, vol. 11, no. 3, pp. 157-168, 2014