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 derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type
models for incompressible viscoelastic fluids. In particular, we study the models that allow …

Steady-state, isothermal, Poiseuille flows in straight channels and circular tubes of weakly
compressible Newtonian fluids are considered. The major assumption is that both the mass …

Rigorous analysis of the response of nonlinear materials to step inputs requires one to
simultaneously handle the discontinuity, differentiation, and nonlinearity. This task is …

Computation of the curvature is an essential task during the simulation of processes such as
bio-film growth and two-phase fluid flow wherein the interfacial forces play a crucial role in …

The transient, axisymmetric squeeze flow of the non-Newtonian shear thinning material
between finite disks is studied numerically. The fluid between disks is assumed to follow the …

We provide numerical simulations of an incompressible pressure-thickening and shear-
thinning lubricant flowing in a plane slider bearing. We study the influence of several …

Free surface of fluids produces traction and its magnitude changes from point to point based
on the direction of normal on the free surface. Martin Rehor and Vit Prusa have done …