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, cilt.43, sa.15-16, ss.1257-1264, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 15-16
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.ijengsci.2005.05.006
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1257-1264
  • Anahtar Kelimeler: non-Newtonian fluid, second grade fluid, three-dimensional vortex, line vortex, stagnation point flow, NAVIER-STOKES EQUATIONS, MAXWELL FLUID, ORDER FLUIDS, 2ND GRADE, MODEL
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.