This paper reports the results of a numerical study of the Nusselt number for the H1 and T boundary conditions in laminar, fully-developed flows of pseudoplastic and dilatant fluids in rectangular ducts. Equations for the apparent viscosity that span the entire shear rate range were utilized and the
Numerical solution of power law fluids flow and heat transfer with a magnetic field in a rectangular duct
โ Scribed by Mohamed Eissa Sayed Ahmed
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 548 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0735-1933
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โฆ Synopsis
The steady laminar flow and heat transfer of an incompressible, electrically conducting, power law non-Newtonian fluids in a rectangular duct are studied in the presence of an external uniform magnetic field. The momentum and energy equations are solved iteratively using a finite difference method. Two cases of the thermal boundary conditions are considered; (1) T thermal boundary condition "constant temperature at the wall" and (2) H2 thermal boundary condition "constant heat flux at the wall". The viscous and Joule dissipations are taken into consideration in the energy equation. A numerical solution for the governing partial differential equations is developed and the influence of the magnetic field on the velocity distribution, the friction factor and the average Nusselt number are discussed.
๐ SIMILAR VOLUMES
This paper aims to show the application of the analytical approach presented recently by Gottifredi et al. [lnt. J. Heat Mass Trans@ 26, 1215-1220 (1983)] to the generalized Graetz-Nusselt problem, in order to estimate the mixing-cup temperature of a power-law fluid which is flowing through a duct w
Numerical solutions are presented for fully developed laminar flow for a modified power law fluid (MPL) in a rectangular duct. The solutions are applicable to pseudoplastic fluids over a wide shear rate range from Newtonian behavior at low shear rates, through a transition region, to power law behav