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- W1978544022 abstract "It is shown that the governing equation for the stream function of the Darcy free convection boundary layer flows past a vertical surface is invariant under arbitrary translations of the transverse coordinate y. The consequences of this basic symmetry property on the solutions corresponding to a prescribed surface temperature distribution T w (x) are investigated. It is found that starting with a “primary solution” which describes the temperature boundary layer on an impermeable surface, infinitely many “translated solutions” can be generated which form a continuous group, the “translation group” of the given primary solution. The elements of this group describe free convection boundary layer flows from permeable counterparts of the original surface with a transformed temperature distribution $${tilde {T}_w left( x right)}$$ , when simultaneously a suitable lateral suction/injection of the fluid is applied. It turns out in this way that several exact solutions discovered during the latter few decades are in fact not basically new solutions, but translated counterparts of some formerly reported primary solutions. A few specific examples are discussed in detail." @default.
- W1978544022 created "2016-06-24" @default.
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- W1978544022 date "2010-05-19" @default.
- W1978544022 modified "2023-09-26" @default.
- W1978544022 title "Consequences of the Translation Invariance on the Darcy Free Convection Flow Past a Vertical Surface" @default.
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- W1978544022 doi "https://doi.org/10.1007/s11242-010-9590-z" @default.
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