Exact analytical solutions for the Poiseuille and Couette-Poiseuille flow of third grade fluid between parallel plates

DOI10.1016/j.cnsns.2011.07.037zbMath1245.35093OpenAlexW2087278990MaRDI QIDQ430377

J. Herrera, H. S. Yoon

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.07.037

zbMATH Keywords

exact solutionnon-Newtonian fluidPoiseuille flowCouette-Poiseuille flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Plates (74K20) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (5)

On the generalization of velocity slip in fluid flows using a steady-state series expansion of the wall shear stress: case of simple Newtonian fluids ⋮ Global regularity for MHD Sisko fluid in annular pipe ⋮ Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids ⋮ Uncertain viscoelastic models with fractional order: a new spectral tau method to study the numerical simulations of the solution ⋮ Effect of the aspect ratio on the flow characteristics of magnetohydrodynamic (MHD) third grade fluid flow through a rectangular channel

Cites Work

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• Stability questions for a third-grade fluid in exterior domains
• The application of homotopy analysis method to thin film flows of a third order fluid
• Exact solutions for thin film flow of a third grade fluid down an inclined plane
• Pulsatile flow of third grade fluids under body acceleration -- modelling blood flow
• Existence, uniqueness and stability of steady flows of second- and third-grade fluids in an unbounded pipe-like domain
• Homotopy perturbation method for thin film flow of a third-grade fluid down an inclined plane
• Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates
• On the formulation of rheological equations of state
• Thermodynamics and stability of fluids of third grade

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