Multiple values of skin friction for boundary layer separation flow in power law pseudoplastic fluids

Abstract

A theoretical analysis of the phenomenon of boundary layer separation flow in power law pseudoplastic non-Newtonian fluids was made. Bifurcation solutions for skin friction were numerically represented for parameters of velocity ratio and power law exponent. The results indicate that both superior and inferior solutions are noticeable and the solutions not only depend on the velocity ratio of the plate to the velocity of the free stream, but also on the power law parameter.

Keywords

pseudoplastic non-Newtonian fluid / boundary layer / separated flows / skin friction

References

[1] SchlichtingH.Boundary Layer Theory[M], 1979, New York, McGraw-Hill

[2] KlempJ. B., AcrivosA.. A method for integrating the boundary-layer equations through a region of reverse flow[J]. Journal of Fluid Mechanics, 1972, 53: 177-191

[3] KlempJ. B., AcrivosA.. A moving-wall boundary with reverse flow[J]. Journal of Fluid Mechanics, 1976, 76(2): 363-381

[4] HussainiM. Y., LakinW. D.. Existence and nonuniqueness of similarity solutions of a boundary-layer problems[J]. Quart J Mech Appl Math, 1986, 9: 15-24

[5] HussainiM. Y., LakinW. D., NachmanA.. On similarity solutions of a boundary layer problem with an upstream moving wall[J]. SIAM J Appl Math, 1987, 47(4): 699-709

[6] SchowalterW. R.. The application of boundary-layer theory to power-law pseudoplastic fluids: Similar solution[J]. A I ChE Journal, 1960, 6: 24-28

[7] NachmanA., CallegariA.. A nonlinear singular boundary value problem in the theory of pseudoplastic fluids[J]. SIAM J Appl Math, 1980, 38(3): 275-281

[8] HopwellT. G.. Momentum and heat transfer on a continuous moving surface in power law fluid[J]. Int J Heat Mass Transfer, 1997, 40(9): 1853-1861

[9] AkcayM., AdilY., KselenM.. Drag reduction of a nonnewtonian fluid by fluid injection on a moving wall[J]. Archive of Applied Mech, 1999, 69: 215-225