Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

We review the class of implicit algebraic constitutive relations for fluids which includes in its
ambit those whose material properties depend on the invariants of the stress, the symmetric …

We consider unsteady flows of incompressible fluids with a general implicit constitutive
equation relating the deviatoric part of the Cauchy stress S and the symmetric part of the …

The chapter starts with overview of the derivation of the balance equations for mass,
momentum, angular momentum and total energy, which is followed by a detailed discussion …

We prove that there exists a weak solution to a system governing an unsteady flow of a
viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The fluid is …

In this paper, electrokinetic flow of Newtonian fluids with pressure-dependent viscosity
through a nanoslit is investigated. Under the assumption of unidirectional steady flow, taking …

While the assumption of the “no-slip” condition at a solid boundary is unquestioningly
applied to study the flow characteristics of a Navier–Stokes fluid, there was considerable …

We derive a novel and rigorous correction to the classical Reynolds lubrication
approximation for fluids with viscosity depending upon the pressure. Our analysis shows that …

In this paper we consider a fluid whose viscosity depends on both the mean normal stress
and the shear rate flowing down an inclined plane. Such flows have relevance to …

Kolmogorov seems to have been the first to recognize that a two-equation model of
turbulence might be used as the basis of turbulent flow prediction. Nowadays, a whole …