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

We consider a general boundary layer equation f‴+ff″−βf′2=0f‴+ff″−βf′2=0 with the boundary condition f(0)=a,f′(0)=1,f′(∞)≔limt→∞f′(t)=0f(0)=a,f′(0)=1,f′(∞)≔limt→∞f′(t)=0, where ββ is a real constant. In this work, the structure of solutions for the case β≥2β≥2 is studied. Combining with the previous results in the literature, the structure of solutions of the given problem can be determined completely.