Lubrication approximation of flows of a special class of non-Newtonian fluids defined by rate type constitutive equations Academic Article

abstract

• 2018 Elsevier Inc. We consider the flow of a rate-type fluid defined by an implicit constitutive equation in a channel with non flat walls. We also assume that the channel characteristic width is small in comparison to the channel length, so that the lubrication approximation can be applied. The model developed is mainly motivated by the evidence that many lubricants seem to be well described by implicit rate type fluid models. The mathematical problem is reduced to an integro-differential equation for the pressure that is solved numerically for several channel profiles.

authors

• Rajagopal, Kumbakonam

published proceedings

• APPLIED MATHEMATICAL MODELLING

author list (cited authors)

• Fusi, L., Farina, A., Saccomandi, G., & Rajagopal, K. R.

citation count

• 2

complete list of authors

• Fusi, L||Farina, A||Saccomandi, G||Rajagopal, KR

publication date

• August 2018

publisher

• Elsevier  Publisher

published in

• Applied Mathematical Modelling  Journal

keywords

• Implicit Constitutive Equations
• Lubrication Approximation
• Rate-type Fluids

Digital Object Identifier (DOI)

• 10.1016/j.apm.2018.03.038

start page

• 508

end page

• 525

volume

• 60

URL

• http://dx.doi.org/10.1016/j.apm.2018.03.038