An approximate solution method for boundary layer flow of a power law fluid over a flat plate. (English) Zbl 1190.80024

Myers, T. G.

Int. J. Heat Mass Transfer 53, No. 11-12, 2337-2346 (2010).

Summary: The work in this paper deals with the development of momentum and thermal boundary layers when a power law fluid flows over a flat plate. At the plate we impose either constant temperature, constant flux or a Newton cooling condition. The problem is analysed using similarity solutions, integral momentum and energy equations and an approximation technique which is a form of the Heat Balance Integral Method. The fluid properties are assumed to be independent of temperature, hence the momentum equation uncouples from the thermal problem. We first derive the similarity equations for the velocity and present exact solutions for the case where the power law index \(n=2\). The similarity solutions are used to validate the new approximation method. This new technique is then applied to the thermal boundary layer, where a similarity solution can only be obtained for the case \(n=1\).

MSC:

80A20	Heat and mass transfer, heat flow (MSC2010)
76D10	Boundary-layer theory, separation and reattachment, higher-order effects
76A05	Non-Newtonian fluids
76M25	Other numerical methods (fluid mechanics) (MSC2010)
80M25	Other numerical methods (thermodynamics) (MSC2010)

Keywords:

boundary layer; power law fluid; heat balance integral method; similarity solutions

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