Abstract Delayed response (delay of the elasticity) and time needed for initial stress can lead to relaxation retardation phenomenon; this is because consistent behavior viscoelastic fluid on thermodynamic principles. In context, aim article investigate unsteady, incompressible, Oldroyd-B under wall slip conditions know hidden aspects retardation. The motion liquid assumed over a flat vertical ...

The temporal and spatiotemporal linear stability analyses of a displaced Oldroyd-B fluid with the mean flow in horizontally aligned, square, Hele–Shaw cell are reported to identify regions topological transition advancing interface. viscosity displacing is negligible comparison fluid. While all inertial terms model retained, interface assumed evolve on slow timescale compared perturbation (or s...

The response of inhomogeneous fluids whose material properties are strongly interconnected with mean normal stress and shear rate; such phenomenon undergo to rate constitutive-type theories within thermodynamical aspects. In this context, the thermodynamic approach for modeling a class viscoelastic so-called Oldroyd-B fluid is investigated through singular kernel. This because role kernel has b...

The problem dealing with the steady flow of an Oldroyd 8-constant fluid over a suddenly moved plate is considered. The fluid is electrically conducting and a uniform magnetic field is applied in the transverse direction. An analytical solution of the nonlinear boundary value problem is obtained using homotopy analysis method (HAM). The behavior of the material constants and the magnetic field i...