This is a numerical investigation of the steady flow produced by an infinite rotating disk when the second-order fluid at infinity is in a state of solid rotation. The flow field is determined when the fluid at infinity is rotating in the same sense as that of the disk. The use of this viscometric representation limits the result to weakly viscoelastic fluids. The numerical computations obtained indicate that the question of increased or decreased total (radial plus tangential) wall stresses due to the presence of elasticity depends on the flow parameter S(S > 1 or S < 1, indicate that the fluid at infinity having a faster or slower angular velocity compared with that of the disk). We found that the total wall stress is higher or lower when compared with a Newtonian fluid depending on S > 1 or S < 1, respectively. With increasing |α| (as the fluid becomes more non-Newtonian), the total wall stress is increased or decreased when S < 1 or S > 1.
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September 1973
Research Papers
A Numerical Study of Rotationally Symmetric Flow of Second-Order Fluid
M. Balaram,
M. Balaram
Department of Mathematics, Grambling College, Grambling, La.
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B. R. Luthra
B. R. Luthra
Department of Mathematics, Dungar College, Bikaner, India
Search for other works by this author on:
M. Balaram
Department of Mathematics, Grambling College, Grambling, La.
B. R. Luthra
Department of Mathematics, Dungar College, Bikaner, India
J. Appl. Mech. Sep 1973, 40(3): 685-687 (3 pages)
Published Online: September 1, 1973
Article history
Received:
April 1, 1972
Revised:
March 1, 1973
Online:
July 12, 2010
Citation
Balaram, M., and Luthra, B. R. (September 1, 1973). "A Numerical Study of Rotationally Symmetric Flow of Second-Order Fluid." ASME. J. Appl. Mech. September 1973; 40(3): 685–687. https://doi.org/10.1115/1.3423073
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