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• W638380074 abstract "The similarity differential equation $f'''+ff''+beta f'(f'-1)=0$ with $betatextgreater{}0$ is considered. This differential equation appears in the study of mixed convection boundary-layer flows over a vertical surface embedded in a porous medium. In order to prove the existence of solutions satisfying the boundary conditions $f(0)=ageq0$, $f'(0)=bgeq0$ and $f'(+infty)=0$ or $1$, we use shooting and consider the initial value problem consisting of the differential equation and the initial conditions $f(0)=a$, $f'(0)=b$ and $f''(0)=c$. For $0textless{}betaleq1$, we prove that there exists a unique solution such that $f'(+infty)=0$, and infinitely many solutions such that $f'(+infty)=1$. For $betatextgreater{}1$, we give only partial results and show some differences with the previous case." @default.
• W638380074 created "2016-06-24" @default.
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• W638380074 date "2015-06-09" @default.
• W638380074 modified "2023-09-25" @default.
• W638380074 title "Similarity solutions of mixed convection boundary-layer flows in a porous medium" @default.
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• W638380074 hasPublicationYear "2015" @default.
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