The unsteady flow of a conducting Oldroyd fluid between two parallel plates, one of which is at rest and the other oscillating in its own plane with a constant mean velocity, has been investigated. Using separation of variables an exact periodic solution for the problem is obtained. Effects of viscoelastic parameters on velocity gradient, skin friction amplitude, and phase angle of the flow are discussed with graphs.
An Exact Periodic Solution of a Hydromagnetic Flow of an Oldroyd Fluid in a Channel
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Ray, R. N., Samad, A., and Chaudhury, T. K. (December 1, 1999). "An Exact Periodic Solution of a Hydromagnetic Flow of an Oldroyd Fluid in a Channel." ASME. J. Appl. Mech. December 1999; 66(4): 974–977. https://doi.org/10.1115/1.2791807
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