2010•2010 14th International Heat Transfer Conference, Volume 2Requires access

Influence of Favourable Pressure Gradient on the Heat Transfer in Boundary Layer

A.Yu. Sakhnov, Eduard P. Volchkov, Maxem S. Makarov

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Abstract

In the present paper, we analyze, both numerically and analytically, the influence a favourable pressure gradient has on the characteristics of dynamic boundary layer. It is shown that at a certain value of the pressure gradient asymptotic conditions can be reached in laminar boundary layer, with the skin-friction coefficient value being independent of the Reynolds number, like in the case of asymptotic suction of boundary layer through the porous wall. Some analogy between the two types of flow can be traced: in both cases, namely, at porous suction and in the boundary layer of an accelerated flow, a cross flow is generated, directed from the outer edge of the boundary layer toward the wall. For the conditions of the two types, an approximate analytical solution to the boundary-layer equations has been obtained. It is shown that in problems with first- and second-kind boundary conditions the favourable pressure gradient exerts an influence on the heat-transfer characteristics.

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What this paper is about

In the present paper, we analyze, both numerically and analytically, the influence a favourable pressure gradient has on the characteristics of dynamic boundary layer. It is shown that at a certain value of the pressure gradient asymptotic conditions can be reached in laminar boundary layer, with the skin-friction coefficient value being independent of the Reynolds number, like in the case of asymptotic suction of boundary layer through the porous wall. Some analogy between the two types of flow can be traced: in both cases, namely, at porous suction and in the boundary layer of an accelerated flow, a cross flow is generated, directed from the outer edge of the boundary layer toward the wall. For the conditions of the two types, an approximate analytical solution to the boundary-layer equations has been obtained. It is shown that in problems with first- and second-kind boundary conditions the favourable pressure gradient exerts an influence on the heat-transfer characteristics.

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Available abstract

In the present paper, we analyze, both numerically and analytically, the influence a favourable pressure gradient has on the characteristics of dynamic boundary layer. It is shown that at a certain value of the pressure gradient asymptotic conditions can be reached in laminar boundary layer, with the skin-friction coefficient value being independent of the Reynolds number, like in the case of asymptotic suction of boundary layer through the porous wall. Some analogy between the two types of flow can be traced: in both cases, namely, at porous suction and in the boundary layer of an accelerated flow, a cross flow is generated, directed from the outer edge of the boundary layer toward the wall. For the conditions of the two types, an approximate analytical solution to the boundary-layer equations has been obtained. It is shown that in problems with first- and second-kind boundary conditions the favourable pressure gradient exerts an influence on the heat-transfer characteristics.

Key concepts: Boundary layer, Pressure gradient, Laminar flow, Blasius boundary layer, Mechanics, Suction, Boundary layer suction, Adverse pressure gradient

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