On power-law fluids with the power-law index proportional to the pressure Academic Article

abstract

• 2016 Elsevier Ltd In this short note we study special unsteady flows of a fluid whose viscosity depends on both the pressure and the shear rate. Here we consider an interesting dependence of the viscosity on the pressure and the shear rate; a power-law of the shear rate wherein the exponent depends on the pressure. The problem is important from the perspective of fluid dynamics in that we obtain solutions to a technologically relevant problem, and also from the point of view of mathematics as the analysis of the problem rests on the theory of spaces with variable exponents. We use the theory to prove the existence of solutions to generalizations of Stokes first and second problem.

authors

• Rajagopal, Kumbakonam

published proceedings

• APPLIED MATHEMATICS LETTERS

author list (cited authors)

• Malek, J., Rajagopal, K. R., & Zabensky, J.

citation count

• 4

complete list of authors

• Málek, J||Rajagopal, KR||Žabenský, J

publication date

• December 2016

publisher

• Elsevier  Publisher

published in

• Applied Mathematics Letters  Journal

keywords

• Existence Theory
• Fluid Dynamics
• Power-law Fluids
• Pressure-dependent Viscosity
• Unsteady Flows

Digital Object Identifier (DOI)

• 10.1016/j.aml.2016.07.007

start page

• 118

end page

• 123

volume

• 62

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.aml.2016.07.007