Temporal instability of Walter’s B viscoelastic fluid film

Abstract

The stability of an interface formed by Walter’ B viscoelastic liquid and viscous incompressible fluid is examined. These fluids lie in an annular region enclosed by two cylindrical shapes rigid boundaries. The surface tension effect is considered at the interface and therefore, the interface obeys capillary instability. The potential flow theory of viscoelastic-viscous fluids is utilized to compute the solution of modeled equations and the normal mode technique is enforced for the calculation of perturbation’s growth. A two-degree algebraic equation is established to obtain the stability/instability criterion. We found that the perturbations grow slower at the interface containing Walter’s B viscoelastic fluid than the corresponding Newtonian fluid.

Stability characteristics of Walter’s B viscoelastic fluid in a cylindrical configuration with heat transfer

“…One can achieve the relationship presented by Kim et al 33 by setting viscoelasticity μ o ′ = 0 in equation (20) while the expression of Dharamendra and Awasthi 28 can be found for α = 0 .…”

“…Awasthi and his coauthors [23][24][25] examined cylindrical interfaces with electromagnetic effects. The instability of an interface involving Walter's B fluid was analyzed by Moatimid et al [26][27] Dharamendra and Awasthi 28 studied the stability in cylindrical configuration for Walter's B fluid.…”