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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
