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Integral method of solution for compressible laminar boundary layers and applications

W.S. Liu

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Abstract

The basic equations based on the integral method for solving compressible, laminar, boundary-layer flows are considered in some detail. The moment of momentum equation is added to the usual boundary-layer equations in order to form a complete set of equations. The governing equations for shock-wave or expansion-wave interactions with the boundary-layer are reformulated. The cold-wall similarity model of the interaction of a compressible, laminar, boundary-layer flow with a corner-expansion wave is investigated using certain approximations and initial conditions. The results compare well with other analytical models and with existing experimental data. (Author)

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What this paper is about

The basic equations based on the integral method for solving compressible, laminar, boundary-layer flows are considered in some detail. The moment of momentum equation is added to the usual boundary-layer equations in order to form a complete set of equations. The governing equations for shock-wave or expansion-wave interactions with the boundary-layer are reformulated. The cold-wall similarity model of the interaction of a compressible, laminar, boundary-layer flow with a corner-expansion wave is investigated using certain approximations and initial conditions. The results compare well with other analytical models and with existing experimental data. (Author)

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Available abstract

The basic equations based on the integral method for solving compressible, laminar, boundary-layer flows are considered in some detail. The moment of momentum equation is added to the usual boundary-layer equations in order to form a complete set of equations. The governing equations for shock-wave or expansion-wave interactions with the boundary-layer are reformulated. The cold-wall similarity model of the interaction of a compressible, laminar, boundary-layer flow with a corner-expansion wave is investigated using certain approximations and initial conditions. The results compare well with other analytical models and with existing experimental data. (Author)

Key concepts: Laminar flow, Boundary (topology), Compressibility, Mathematical analysis, Mathematics, Mechanics, Materials science, Geometry

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