Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity Academic Article uri icon

abstract

  • We consider the flow of an Oldroyd-B fluid occupying the space over an elastic sheet, due to the stretching of the sheet, in the presence of a constant free-stream velocity. By introducing a similarity transformation for the velocity field, as well as the three components of the stress tensor, the governing equations are reduced to a system of coupled non-linear ordinary differential equations. The resulting equations are solved numerically and by means of a perturbation in the Weissenberg number. A comparison of the two solutions shows exceedingly good agreement. © 1995.

author list (cited authors)

  • Bhatnagar, R. K., Gupta, G., & Rajagopal, K. R.

citation count

  • 59

publication date

  • May 1995