## Momentum and heat transport on a continuous flat surface moving in a parallel stream.(English)Zbl 0810.76016

The authors study the boundary layer flow on a flat surface. The boundary layer equations reduce to $$f'''+ f''f=0$$, $$f(0)=0$$, $$f'(0)= 1- \varepsilon$$, $$f'(\infty)= \varepsilon$$, where $$\varepsilon= U_ \infty/ (U_ \infty+ U_ w)$$, $$U_ \infty$$ is the free stream velocity, $$U_ w$$ is the plate velocity. The numerical method shows that the solution is unique for $$\varepsilon<1$$ and dual for $$1\leq \varepsilon< \varepsilon_ 0$$. There is no solution for $$\varepsilon> \varepsilon_ 0$$.

### MSC:

 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 80A20 Heat and mass transfer, heat flow (MSC2010)

Blasius problem
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