壓力勾配のある壓縮性流體に於ける境界層に就いて

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概要

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• Present paper is concerned with the theory of the laminar boundary layer in compressible fluids. By introducing the stream function φ which is defined by [numerical formula], [numerical formula], the equation of motion [numerical formula] may be transformed into [numerical formula], where x and y are the coordinates along and perpendicular to the wall, and u and v the x and y components of the velocity at any point. Both the density ρ and the viscosity μ are variables, and subscripts 1 and 0 denote the state corresponding to the outer edge of the boundary layer (y→∞) and the standard state corresponding to the state of adiabatic stagnation of the outer flow respectively. When the velocity along the outer edge of the boundary layer is given by u_1=cx^α, the differential equation can be further transformed into [numerical formula], where [numerical formula]. This can be solved by the method of successive approximations as [numerical formula], where [numerical formula], and C is a constant which is to be determined by the boundary condition: u→u_1 as η→∞. This approximation formula may also be described by introducing a nondimensional distance from the wall [numerical formula], then [numerical formula], where [numerical formula], and C is determined as before. Numerical calculations are performed under the conditions such that Prandtl number c_pμ/λ is equal to 1, and heat transfer at the wall is debared. Under these conditions there is a relation between the temperature and the velocity: [numerical formula], and the viscosity is given by [numerical formula] Several numerical results are given in a table and 14 figures.

• 宇宙航空研究開発機構の論文

著者

• 濱 良助

  Res. Inst. Tokyo Imp. Univ.

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