Abstract

The self-similar mixed convection boundary layer flow over a horizontal flat plate with the temperature distribution Tw(x)∼x−1/2 and a lateral suction (γ > 0) of the fluid was considered in this paper. Between this problem and “Schneider's problem” of the impermeable plate (γ = 0), essential differences were found. Thus: (i) while in the impermeable case the temperature distribution Tw(x)∼x−1/2 allows for a non-vanishing heat flow at the leading edge only, in the permeable case heat is transferred through every point x of the plate at a rate ϑ′(0) = −Pr γ; (ii) while in the impermeable case unique solutions exist only for aiding flows, in the presence of suction such solutions could also be obtained for opposing flows; (iii) in addition to the dual solutions already encountered in the impermeable case, for γ > 0 and negative values of the mixed convection parameter K (opposing flow) also triple and quadruple solutions have been found; (iv) for the case of strong suction (γ ≫ 1) approximate analytical solutions were derived.

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