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Hybrid Methods in Engineering

ISSN Druckformat: 1099-2391
ISSN Online: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v1.i2.60
12 pages

INTEGRAL TRANSFORM SOLUTION FOR THE INTERNAL BOUNDARY LAYER OF NON-NEWTONIAN FLUIDS

R. N. O. Magno
Chemical Engineering Department, Universidade Federal do Para — UFPA, Belem, Para, Brazil
Joao N. N. Quaresma
School of Chemical Engineering, Universidade Federal do Para, FEQ/UFPA, Campus Universitario do Guama, 66075-110, Belem, PA, Brazil
Emanuel N. Macedo
Mechanical Engineering Department, Chemical Engineering Department, Universidade Federal do Para-UFPA, Campus Universitario do Guama, RuaAugusto Correa, 01, 66075-900 -Belem, PA, Brazil

ABSTRAKT

The hydrodynamic boundary layer for a non-Newtonian fluid, following the power-law model for the shear stress, is studied in the entrance region of a parallel-plates channel. The hybrid numerical-analytical solutions for the developing flow velocity profiles are obtained by using the generalized integral transform technique (GITT). Benchmark results are established for velocity profiles with different power-law indices, which are compared with results previously reported in the literature and demonstrating excellent agreement. In this problem, a streamfunction formulation is employed which offers better computational performance in terms of convergence rates than the primitive-variables version.


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