A note on the structure of similarity solutions arising in boundary layer flows

作者：Hung Shih Hsun; Wang Ching An^*

来源：Applied Mathematics Letters, 2009, 22(7): 1085-1090.

DOI：10.1016/j.aml.2009.01.021

• Boundary layer problem
• Similarity solutions
• Shooting method
• Blow-up coordinate
• Phase portrait analysis

We consider a general boundary layer equation f''' + ff '' - beta f'(2) = 0 with the boundary condition f(0) = a,f'(0) = 1, f'(infinity) := lim(t ->infinity) f'(t) = 0, where beta is a real constant. In this work, the structure of solutions for the case beta >= 2 is studied. Combining with the previous results in the literature, the structure of solutions of the given problem can be determined completely.

• 出版日期2009-7