Similarity solutions for non-Newtonian power-law fluid flow

DOI10.1007/s10483-014-1854-6zbMath1298.76021OpenAlexW1979916239MaRDI QIDQ468579

J. Herrera, Sumit K. Garg

Publication date: 7 November 2014

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-014-1854-6

zbMATH Keywords

existenceuniquenessboundary layer flowpower law fluidnon-linear boundary value problem

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (5)

Properties of boundary-layer flow solutions for non-Newtonian fluids with non-linear terms of first and second-order derivatives ⋮ Analytical solution and numerical simulation of the generalized Levèque equation to predict the thermal boundary layer ⋮ Estimation of the shear stress parameter of a power-law fluid ⋮ Existence of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids ⋮ SELF-SIMILAR ANALYTIC SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATION WITH A NON-NEWTONIAN TYPE OF VISCOSITY

Cites Work

• A challenging nonlinear problem for numerical techniques
• Boundary-layer equations for a power-law shear-driven flow over a plane surface of non-Newtonian fluids
• Approximate analytical solutions and approximate value of skin friction coefficient for boundary layer of power law fluids
• Momentum and heat transfer on a continuous moving surface in a power law fluid
• Similarity solutions for free convection of power-law fluids from a heated vertical plate
• Similarity solutions of differential equations for boundary layer approximations in porous media
• On the boundary–layer equations for power–law fluids
• Mass transfer into boundary layers for power law fluids
• Comments on the validity of a common category of constitutive equations
• Similarity Flow Solutions of a Non-Newtonian Power-law Fluid
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