2008/03/29 by Amir Mahmood, Saif Ullah, Mahmood, Amir +3
Engineering · Mathematics · #FOS: Physical sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #Nanofluid Flow and Heat Transfer
paper · pdf · doi:10.48550/arxiv.0803.4265
openalex publication_date 2008/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The velocity field and the associated tangential stress corresponding to flow of a generalized second grade fluid between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. At time t=0 the fluid is at rest and at t=0+ cylinders suddenly begin to rotate about their common axis with a constant angular acceleration. The solutions that have been obtained satisfy the governing differential equations and all imposed initial and boundary conditions. The similar solutions for a second grade fluid and Newtonian fluid are recovered from our general solutions. The influence of the fractional coefficient on the velocity of the fluid is also analyzed by graphical illustrations.