caa a22 4500 445812516 CHVBK 20180317145216.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00419-011-0509-0 doi (NATIONALLICENCE)springer-10.1007/s00419-011-0509-0 On the unsteady rotational flow of a generalized Maxwell fluid through a circular cylinder [Elektronische Daten] [M. Imran, M. Athar, M. Kamran] In this paper, the velocity field and the associated tangential stress corresponding to the rotational flow of a generalized Maxwell fluid within an infinite circular cylinder are determined by means of the Laplace and finite Hankel transforms. Initially, the fluid is at rest, and the motion is produced by the rotation of the cylinder about its axis with a unsteady angular velocity. The solutions that have been obtained are presented under series form in terms of the generalized G a,b,c(, t)-functions. The similar solutions for the ordinary Maxwell and Newtonian fluids, performing the same motion, are obtained as special cases, when β → 1, respectively β → 1 and λ → 0, from general solutions. Finally, the solutions that have been obtained are compared by graphical illustrations, and the influence of the pertinent parameters on the fluid motion is also underlined by graphical illustrations. Springer-Verlag, 2011 Generalized Maxwell fluid nationallicence Velocity field nationallicence Shear stress nationallicence Integral transforms nationallicence Exact solutions nationallicence Imran M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut Athar M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut Kamran M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut Archive of Applied Mechanics Springer-Verlag 81/11(2011-11-01), 1659-1666 0939-1533 81:11<1659 2011 81 419 https://doi.org/10.1007/s00419-011-0509-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0509-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Imran M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut NATIONALLICENCE 700 1- Athar M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut NATIONALLICENCE 700 1- Kamran M. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/11(2011-11-01), 1659-1666 0939-1533 81:11<1659 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer