NUMERICAL STUDY ON PERISTALTIC TRANSPORT OF FRACTIONAL BIO-FLUIDS

Abstract

A numerical study is presented to examine the peristaltic transport of fractional bio-fluids (viscoelastic fluids with fractional Oldroyd-B model) through the channel. Analysis is carried out under the assumptions of long wavelength and low Reynolds number. Numerical and analytical approximate solutions of problem are obtained by using homotopy analysis method. It is assumed that the cross section of the channel varies sinusoidally along the length of channel. The effects of fractional parameters, material constants (relaxation time and retardation time), time and amplitude on the pressure and frictional force across one wavelength are studied with particular emphasis. The computational results are presented in graphical form. It is found that the effect of both fractional parameters on pressure is opposite to each other i.e., pressure reduces with increasing magnitude of the first fractional parameter whereas it increases with increasing magnitude of the second fractional parameter. The effects of relaxation time and retardation time on pressure are similar to that of first and second fractional parameters, respectively.