Hydromagnetic Instability of Viscoelastic Fluids in Blasius Flow

Abstract

The effect of a fluid's elasticity is investigated on the instability of Blasius flow at the presence of a transverse magnetic field. To determine the critical Reynolds number as a function of the elasticity and magnetic numbers, a twodimensional linear temporal stability analysis is used assuming that the viscoelastic fluid of interest obeys Walters' B model as its constitutive equation. Neglecting terms nonlinear in the perturbation quantities, an eigenvalue problem is obtained which is solved numerically using the Chebychev collocation method. Based on the results obtained in this work, fluid's elasticity is predicted to have a destabilizing effect on Blasius flow. In contrast, the effect of the magnetic field is predicted to be always stabilizing in Blasius flow, at least in the range of parameters used in this work.

Inertia flows of Bingham fluids through a planar channel: Hydroelastic instability analysis

“…Based on the current knowledge, the rheological properties of the solid gel and working fluid are known to play a key role for the success of this operation. [38][39][40][41][42][43][44][45][46][47][48][49][50] A variety of solid and fluid models have been used in previous studies when tackling this formidable fluid-solid interaction (FSI) problem. In a recent paper by Pourjafar et al, 51 the effect of inertia terms on the linear stability of shear-thinning fluids was investigated.…”

“…Based on the current knowledge, the rheological properties of the solid gel and working fluid are known to play a key role for the success of this operation. 38–50…”