Diffusion of a line vortex in a second grade fluid embedded in a stagnation point flow

Erdogan M., İmrak C. E.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.43, no.15-16, pp.1257-1264, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 15-16
  • Publication Date: 2005
  • Doi Number: 10.1016/j.ijengsci.2005.05.006
  • Journal Name: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1257-1264
  • Keywords: non-Newtonian fluid, second grade fluid, three-dimensional vortex, line vortex, stagnation point flow, NAVIER-STOKES EQUATIONS, MAXWELL FLUID, ORDER FLUIDS, 2ND GRADE, MODEL
  • Istanbul Technical University Affiliated: Yes

Abstract

The diffusion of a line vortex embedded in a radially inward axisymmetric stagnation point flow for a second grade fluid is considered. This flow is the diffusion of a line vortex for a second grade fluid when a stagnation point flow is superimposed. The velocity field is in the form of v(r) = -alpha r, v(0) = v(r, t), v(z) = 2 alpha z, where r, theta, z are cylindrical polar coordinates and alpha is a constant related to the inward flow. An exact solution of the governing equation is given. It is found that for small values of the time the solution approaches the diffusion of a line vortex in a second grade fluid and for large values of the time the solution tends to the flow of a line vortex in a second grade fluid embedded in a radially inward axisymmetric stagnation point flow. (c) 2005 Elsevier Ltd. All rights reserved.