Hall, ion slip and Ohmic heating effects in thermally active sinusoidal channel

S. Noreen ^*, T. Kousar

Department of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad 45550, Pakistan

Abstract: In this paper Carreau fluid is taken into account to study its peristaltic flow with Hall and ion-slip effects. The study is carried out in a wave frame of reference for both asymmetric and symmetric channel. Analysis of heat transfer is accomplished by taking the effects of viscous dissipation and Ohmic heating into our consideration. Modeling of fundamental equations is followed by the construction of closed form solutions for pressure gradient, stream function and temperature while assuming Reynold's number is very low and wavelength very long. The closed form solutions are generated with the help of perturbation technique considering Weissenberg number to be very small. The effects of emerging parameters on pumping, trapping, axial pressure gradient, pressure rise, velocity profile and temperature are analyzed through the graphical representation.

Keywords: Hall effect; Ion slip; Ohmic heating; Perturbation method