51. Heat transfer in a power-law fluid film over a unsteady stretching sheet
- Author
-
Chien-Hsin Chen
- Subjects
Fluid Flow and Transfer Processes ,Materials science ,Power-law fluid ,Prandtl number ,Thermodynamics ,Film temperature ,Heat transfer coefficient ,Condensed Matter Physics ,Churchill–Bernstein equation ,Non-Newtonian fluid ,Physics::Fluid Dynamics ,symbols.namesake ,Heat transfer ,Newtonian fluid ,symbols - Abstract
In this paper the problem of momentum and heat transfer in a thin liquid film of power-law fluid on an unsteady stretching surface has been studied. Numerical solutions are obtained for some representative values of the unsteadiness parameter S and the power-law index n for a wide range of the generalized Prandtl number, 0.001 ≤ Pr ≤ 1000. Typical temperature and velocity profiles, the dimensionless film thickness, free-surface temperature, and the surface heat fluxes are presented at selected controlling parameters. The results show that increasing the value of n tends to increase the boundary-layer thickness and broadens the temperature distributions. The free-surface temperature of a shear thinning fluid is larger than that of a Newtonian fluid, but the opposite trend is true for a shear thickening fluid. For small generalized Prandtl numbers, the surface heat flux increases with a decrease in n, but the impacts of n on the heat transfer diminish for Pr greater than a moderate value (approximately 1 ≤ Pr ≤ 10, depending on the magnitude of S).
- Published
- 2002