Some solutions for flows of non-newtonian fluids over an infinite plate and in cyclindrical domains

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).