Effect of variable viscosity and suction/injection on thermal boundary layer of a non-newtonian power-law fluids past a power-law stretched surface
Author(s) -
Abe-El Salem,
Rania Fathy
Publication year - 2010
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci1004111s
Subject(s) - prandtl number , nusselt number , laminar flow , boundary layer , mechanics , film temperature , thermodynamics , heat transfer , materials science , power law fluid , newtonian fluid , viscosity , boundary layer thickness , physics , reynolds number , turbulence
The analysis of laminar boundary layer flow and heat transfer of non-Newtonian fluids over a continuous stretched surface with suction or injection has been presented. The velocity and temperature of the sheet were assumed to vary in a power-law form, that is u = U0xm, and Tw(x)=T4+Cxb. The viscosity of the fluid is assumed to be inverse linear function of temperature. The resulting governing boundary-layer equations are highly non-linear and coupled form of partial differential equations and they have been solved numerically by using the Runge-Kutta method and Shooting technique. Velocity and temperature distributions as well as the Nusselt number where studied for two thermal boundary conditions: uniform surface temperature (b = 0) and cooled surface temperature (b = -1), for different parameters: variable viscosity parameter θ, temperature exponent b, blowing parameter d and Prandtl number. The obtained results show that the flow and heat transfer characteristics are significantly influenced by these parameters.
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