For high Reynolds number flows the total pressure remains constant along stream lines. At low Reynolds numbers the total pressure decreases in a global sense due to the actions of viscosity, but it may increase locally in regions such as stagnation points. Previous studies have considered the case of constant viscosity flow. However, gradients in the effective viscosity can occur normal to the wall for the flow of lubricating oils, and for turbulent flows calculated using an eddy viscosity model. In this paper the effect of these viscosity gradients on the stagnation point pressure are examined.
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References
1.
Issa
, R. I.
, 1995, “Rise of Total Pressure in Frictional Flow
,” AIAA J.
, 33
(4
), pp. 772
–774
.2.
van Oudheusden
, B. W.
, 1996, “Comment on ‘Rise of total pressure in frictional Flow’
,” AIAA J.
, 34
(2
), pp. 426
–427
.3.
Williams
, J. C.
, 2002, “Rise of Total Pressure Near the Stagnation Point on a Sphere
,” AIAA J.
, 40
(2
), pp. 576
–579
.4.
Schlichting
, H.
, 1968, Boundary Layer Theory
, 6th ed., McGraw-Hill
, New York
.5.
Richards
, P. J.
, and Hoxey
, R. P.
, 1993, “Appropriate Boundary Conditions for Computational Wind Engineering Models Using the k- ε Turbulence Model
,” J. Wind Eng. Ind. Aerodyn.
, 46–47
, pp. 145
–153
.6.
Norris
, S. E.
, and Richards
, P. J.
, 2010, “Appropriate Boundary Conditions for Computational Wind Engineering Models Revisited
,” The Fifth International Symposium on Computational Wind Engineering
, Chapel Hill, NC
, 23
–27
May, 2010.7.
Richards
, P. J.
, and Norris
, S. E.
, 2011, “Appropriate Boundary Conditions for Computational Wind Engineering Models Revisited
,” J. Wind Eng. Ind. Aerodyn.
, 99
, pp. 257
–266
. 8.
White
, F. M.
, 2006, Viscous Fluid Flow
, 3rd ed. McGraw-Hill
, New York
.9.
Launder
, B. E.
, and Spalding
, D. B.
, 1972, Lectures in Mathematical Models of Turbulence
, Academic Press
, London
.Copyright © 2011
by American Society of Mechanical Engineers
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