AIChE Journal · 1969 · 107 citations · 6 references
EngineeringMechanical EngineeringComputational Fluid DynamicsFluid DynamicsFluid MechanicsBoundary Layer FlowBoundary LayersBoundary-layer TheoryLaminar FlowNon-newtonian FlowNon-newtonian Fluid FlowBoundary Layer ConditionsBoundary Layer Shear StressBoundary-layer EquationsDilatant FlowLaminar Boundary LayersNon-newtonian Boundary LayersNumerical Solutions Of Partial Differential EquationsPower-law Model
Abstract The laminar boundary layers on a moving continuous flat surface in non‐Newtonian fluids characterized by the power law model are investigated using exact and approximate methods. Both pseudoplastic and dilatant fluids are considered. Numerical solutions of the boundary‐layer equations are obtained for values of the parameter n in the power law model ranging from 0.1 to 2.0. An integral solution of the momentum equation, which can be used to obtain values of the dimensionless shearing stress that are in good agreement with the exact values, is developed. An integral solution to the energy equation is also presented.
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Similarity solutions for non‐Newtonian fluids
S. Y. Lee, W.F. Ames · AIChE Journal · 1966 · 137 citations
Methods in Numerical Analysis.
Robert E. Greenwood, Kaj L. Nielsen · American Mathematical Monthly · 1960 · 91 citations