Effect of an inclined magnetic field on peristaltic flow of Williamson fluid in an inclined channel with convective conditions

• Published in: Journal of magnetism and magnetic materials Vol. 401; pp. 733 - 745
• Main Authors: Hayat, T., Bibi, Shahida, Rafiq, M., Alsaedi, A., Abbasi, F.M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2016
• Subjects: Compliant walls; Convective conditions; Joule heating; Soret and Dufour effects; Williamson fluid; Compliant walls; Williamson fluid; Convective conditions; Soret and Dufour effects; Joule heating
• ISSN: 0304-8853
• DOI: 10.1016/j.jmmm.2015.10.107

This paper deals with the influence of inclined magnetic field on peristaltic flow of an incompressible Williamson fluid in an inclined channel with heat and mass transfer. Convective conditions of heat and mass transfer are employed. Viscous dissipation and Joule heating are taken into consideration. Mathematical modeling also includes Soret and Dufour effects. Channel walls have compliant properties. Analysis has been carried out through long wavelength and low Reynolds number approach. Resulting problems are solved for small Weissenberg number. Impacts of variables reflecting the salient features of wall properties, Biot numbers and Soret and Dufour on the velocity, temperature, concentration and heat transfer coefficient are pointed out. Trapping phenomenon is also analyzed. •Velocity enhances for increase in the inclinations of magnetic field and channel.•Temperature and concentration have similar effect qualitatively for the Schmidt, Soret and Dufour numbers.•Heat transfer coefficient z(x) decreases for Biot number Bi1=1.•Size of trapped bolus decreases when Weissenberg number We is increased.