Unsteady flows of fluids with pressure dependent viscosity

DOI10.1016/j.jmaa.2013.03.025zbMath1304.76018OpenAlexW2126073557MaRDI QIDQ488671

Luigi Vergori, Kumbakonam R. Rajagopal, Giuseppe Saccomandi

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.025

zbMATH Keywords

unsteady flowsfluids with pressure dependent viscositiesmodified Stokes' first and second problems

Mathematics Subject Classification ID

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

Related Items (7)

On power-law fluids with the power-law index proportional to the pressure ⋮ Analytical solution of the flow of a Newtonian fluid with pressure-dependent viscosity in a rectangular duct ⋮ Unsteady non-isothermal flow of a viscoplastic fluid with non-constant material moduli at low Reynolds number ⋮ A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity ⋮ Squeeze flow of a piezoviscous fluid ⋮ Analytical solutions for some unsteady flows of fluids with linear dependence of viscosity on the pressure ⋮ Analytical solutions of upper-convected Maxwell fluid flow with exponential dependence of viscosity on the pressure

Cites Work

• Study of a variant of Stokes' first and second problems for fluids with pressure dependent viscosities
• Flow of fluids with pressure dependent viscosities in an orthogonal rheometer subject to slip boundary conditions
• A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity
• Global analysis of the flows of fluids with pressure-dependent viscosities
• Fluid Film Lubrication
• Flow of fluids with pressure- and shear-dependent viscosity down an inclined plane
• Mathematical Analysis of Unsteady Flows of Fluids with Pressure, Shear-Rate, and Temperature Dependent Material Moduli that Slip at Solid Boundaries
• Somk remarks on the navier-stokes equations with a pressure-dependent viscosity
• Simple flows of fluids with pressure–dependent viscosities
• A semi-inverse problem of flows of fluids with pressure-dependent viscosities
• On steady flows of fluids with pressure– and shear–dependent viscosities
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