TY - JOUR
TI - Peristaltic flow of a fractional second grade fluid through a cylindrical tube
AU - Tripathi Dharmendra
JN - Thermal Science
PY - 2011
VL - 15
IS - 12
SP - 167
EP - 173
PT - Article
AB - The investigation is to explore the transportation of a viscoelastic fluid  with fractional second grade model by peristalsis through a cylindrical tube  under the assumptions of long wavelength and low Reynolds number. Analytical  solution of problem is obtained by using Caputo’s definition. It is assumed  that the cross-section of the tube varies sinusoidally along the length of  tube. The effects of fractional parameter, material constant and amplitude on  the pressure and friction force across one wavelength are discussed  numerically with the help of illustrations. It is found that pressure  decreases with increase in fractional parameter whereas increases with  increase in magnitude of material constant or time. The pressure for the flow  of second grade fluid is more than that for the flow of Newtonian fluid.