Journal of Prime Research in Mathematics

# Exact solutions for some unsteady flows of generalized second grade fluids in cylindrical domains

Amir Mahmood
Abdus Salam School of Mathematical Sciences GC University, Lahore, Pakistan.
Constantin Fetecau
Department of Mathematics, Technical University of Iasi, Iasi 700050, Romania.
Imran Siddique
COMSATS Institute of Information Technology Lahore, Pakistan.

$$^{1}$$Corresponding Author: amir4smsgc@gmail.com

### Abstract

The velocity field and the adequate shear stress, corresponding to the unsteady flow of generalized second grade fluids due to a constantly accelerating circular cylinder, are determined by means of the Hankel and Laplace transforms. The solutions that have been obtained satisfy all imposed initial and boundary conditions and for $$β → 1$$ reduce to the similar solutions for the second grade fluids performing the same motion.

#### Keywords:

Generalized second grade fluid, exact solutions, shear stress.