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On similarity solutions for boundary layer flows with prescribed heat flux

B. Brighi·J. -D. Hoernel
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Abstract

This paper is concerned with existence, uniqueness and behavior of the solutions of the autonomous third order nonlinear differential equation $f'''+(m+2)ff''-(2m+1)f'^2=0$ on $\mathbb{R}^+$ with the boundary conditions $f(0)=-γ$, $f'(\infty)=0$ and $f''(0)=-1$. This problem arises when looking for similarity solutions for boundary layer flows with prescribed heat flux. To study solutions we use some direct approach as well as blowing-up coordinates to obtain a plane dynamical system.

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B. Brighi, J. -D. Hoernel. 2006-03-06. On similarity solutions for boundary layer flows with prescribed heat flux. https://doi.org/10.1002/mma.578

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