Abstract:
In this work new results regarding the behavior of some non-Newtonian fluids in different
circumstances will be presented. Such results refer to different motions of Maxwell,
Oldroyd-B fluids and Burgers’, fluid with fractional derivatives model and ordinary Oldroyd-
B fluid. Motion of fractional Maxwell and Burgers’ fluid is studied between two sliding
cylinder which are sliding along their common axis with time dependent velocities, and
flow of fractional Oldroyd-B fluid is studied between two rotating cylinders which are
rotating about their common axis with time dependent angular velocities. Taylor-couette
flow of an Oldroyd-B fluid in an annulus is studied in which the motion is produced due
the time dependent torque on the inner cylinder. The flow of generalized Maxwell fluid
over an oscillating flat plate with constant temperature at the boundary is also studied.
The integral transforms technique will be used to find the solutions. The obtained results
will satisfy all the governed initial and boundary conditions. The solution corresponding
to particular cases will also be obtain as liming cases of our general results. Finally, the
obtained results will be analyzed numerically by making graphs using computer algebra
system (CAS).
