WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 9, 2014
Generalized Similarity Transformation Model for Power-law Laminar Boundary Layer Fluids with non-Linear Dynamic Viscosity
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Abstract: In this paper, mathematical representation of similarity transformation model has been obtained for the steady laminar boundary layer of non-Newtonian flow with variable dynamic viscosity over a flat plate. The power-law fluid model has been adopted for the non-Newtonian fluid representation. The governing non-dimensional boundary layer equations have been transformed into ordinary differential equations using general similarity transformation. Comparison of different studies transformation models has been made for useful and common special similarity transformation. While excellent compatibility was found. This developed general model can be used as a proof to the current models and basic for future transformation models in a large variety of applications. Moreover, numerical solution procedure using quasi-linearization method for flow equation based on this latter transformation model was developed and presented.
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Keywords: Boundary layer, non-Newtonian fluid, Similarity solution transformation, Quasilinearization
Pages: 168-177
WSEAS Transactions on Fluid Mechanics, ISSN / E-ISSN: 1790-5087 / 2224-347X, Volume 9, 2014, Art. #15