Viscoelastic fluids, such as polymers, paints, and DNA suspensions, are almost everywhere very useful in the industry. This article aims to study significance of ramped temperature dynamics viscoelastic fluid. Magnetohydrodynamic (MHD) effect is considered presence Lorentz force. The flow a porous medium using generalized Darcy’s law. Heat transfers through convection, fluid near plate takes he...

We study the potential flow of a second-order fluid over a sphere or an ellipse. The normal stress at the surface of the body is calculated and has contributions from the inertia, viscous and viscoelastic effects. We investigate the effects of Reynolds number and body size on the normal stress; for the ellipse, various angles of attack and aspect ratios are also studied. The effect of the visco...

Many swimming microorganisms, such as bacteria and sperm, use flexible flagella to move through viscoelastic media in their natural environments. In this paper we address the effects a viscoelastic fluid has on the motion and beating patterns of elastic filaments. We treat both a passive filament which is actuated at one end and an active filament with bending forces arising from internal motor...

Surface folding due to instability is analyzed for continuously inhomogeneous halfspace of viscoelastic properties. The medium is under the combined action of a horizontal compression and gravity. The material is of uniform density. Its viscoelastic properties vary exponentially with depth so that it degenerates into a fluid at large depth. It is assumed that the deformations verify the thermod...

This article presents numerical analysis of mixed convection laminar flow of a second grade viscoelastic fluid due to cylinder of elliptic cross-section with prescribed surface heat flux. Dimensionless nonlinear analysis is computed employing Keller-box method. Skin friction coefficient and Nusselt number are emphasized specifically. These quantities are displayed graphically to examine their b...

A new method for the simulation of 2D viscoelastic flow is presented. Numerical stability is obtained by the logarithmic-conformation change of variable, and a fully-implicit pure-streamfunction flow formulation, without use of any artificial diffusion. As opposed to other simulation results, our calculations predict a hydrodynamic instability in the 4:1 contraction geometry at a Weissenberg nu...

We present a new methodology to simulate viscoelastic flows with free-surfaces. These simulations are motivated by the modelling of polymers manufacturing techniques, such as extrusion and injection moulding. One of the consequences of viscoelasticity is that polymeric materials have a “memory” of their past deformations. This generates some numerical difficulties which are addressed with the l...

We determine both the in-plane and out-of-plane dynamics of viscoelastic membranes separating two viscous fluids in order to understand microrheological studies of such membranes. We demonstrate the general viscoelastic signatures in the dynamics of shear, bending, and compression modes. We show that these modes remain independent in the presence of hydrodynamic interactions. The full response ...

We analyze the thermal convection thresholds and linear characteristics of the primary 1 and secondary instabilities for viscoelastic fluids saturating a porous horizontal layer heated from 2 below by a constant flux. Galerkin method is used to solve the eigenvalue problem by taking 3 into account the elasticity of the fluid, the ratio between the viscosity of the solvent and the total 4 viscos...

In the present work, the effect of fluid’s elasticity was investigated on the hydrodynamic instability of Blasius flow. To determine the critical Reynolds number as a function of the elasticity number, a two-dimensional linear temporal stability analysis was invoked. The viscoelastic fluid is assumed to obey the Walters’ B fluid model for which base flow velocity profiles were fortunately avail...