Mathematics – Classical Analysis and ODEs
Scientific paper
2006-03-08
Mathematics
Classical Analysis and ODEs
15 pages
Scientific paper
This paper deals with the two-dimensional incompressible, laminar, steady-state boundary layer equations.First, we determine a family of velocity distributions outside the boundary layer such that these problems may have similarity solutions.Then, We examine in detail new exact solutions, called {\it Pseudo-similarity}, where the external velocity varies inversely-linear with the distance in the $x$-direction along the surface ($U_e(x) = U_\infty x^{-1}). $ The analysis shows that solutions exist only for a lateral suction. Here it is assumed that the flow is induced by a continuous permeable surface with the stretching velocity $ U_wx^{-1}.$ For specified conditions, we establish the existence of an infinite number of solutions, including monotonic solutions and solutions which oscillate an infinite number of times and tend to a certain limit. The properties of solutions depend on the suction parameter. Furthermore, making use of the fourth-order Runge-Kutta scheme together with the shooting method, numerical solutions are obtained.
Guedda Mohamed
Hammouch Zakia
No associations
LandOfFree
On similarity and pseudo-similarity solutions of Falkner-Skan boundary layers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On similarity and pseudo-similarity solutions of Falkner-Skan boundary layers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On similarity and pseudo-similarity solutions of Falkner-Skan boundary layers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-447168