Abstract
Analytical Solution for the Flow of a Generalized Oldroyd-B Fluid in a Circular Cylinder
Highlights
The Oldroyd-B fluid models is very important among the fluids of rate type due to its special behavior
The most general solution corresponding to the helical flow of a second grade fluid seem to be those of Fetecau and Cornia Fetecau [10], in which the cylinder is rotating around its axis and sliding along the same axis with time-dependent velocities
We considered the boundary conditions on the shear stress
Summary
The Oldroyd-B fluid models is very important among the fluids of rate type due to its special behavior. The most general solution corresponding to the helical flow of a second grade fluid seem to be those of Fetecau and Cornia Fetecau [10], in which the cylinder is rotating around its axis and sliding along the same axis with time-dependent velocities. The flow of fluid is due to rotation of the cyliner around its axis, under the action of oscillating shear stress ΩR sin(ωt) given on boundary. These solutions are obtained by mean of integral transforms. The cylinder applies an oscillating rotational shear stress ΩR sin(ωt) to the fluid, Analytical Solution for the Flow of a Generalized Oldroyd-B Fluid in a Circular Cylinder 87 where ω is the angular frequency.
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