TY - JOUR
TI - Exact solutions for rotational flow of a fractional Maxwell fluid in a circular cylinder
AU - Siddiqu Imran
AU - Vieru Dumitru
JN - Thermal Science
PY - 2012
VL - 16
IS - 2
SP - 345
EP - 355
PT - Article
AB - This paper deals with the rotational flow of a fractional Maxwell fluid in an  infinite circular cylinder, due to the torsional variable time-dependent  shear stress that is prescribed on the boundary of the cylinder. The  fractional calculus approach in the constitutive relationship model of a  Maxwell fluid is introduced. The velocity field and the resulting shear  stress are determined by means of the Laplace and finite Hankel transforms to  satisfy all imposed initial and boundary conditions. The solutions  corresponding to ordinary Maxwell fluids as well as those for Newtonian  fluids, performing the same motion, are obtained as limiting cases of our  general solutions. Finally, the influence of the relaxation time and the  fractional parameter on the velocity of the fluid is analyzed by graphical  illustrations.