On the Asymptotic Behaviour of Three-dimensional Compressible Fluid Flow at a Great Distance from a Body, I : The Force and Moment on a Solid Body in a Stream of Compressible Fluid
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The steady irrotational isentropic continuous subsonic flow of a perfect gas past an arbitary three-dimensional body with arbitary distribution of sources on its surface is considered. Based on the thing-wingexpansion method, the velocity potential (I) is expanded in the form (I)=U (x+A_1r^<-1>+A_2r^<-2>+......), A_1=a_0f^<-1>, A_2=f^<-3>[a_<10>cosθ+sinθ(a_<11>cosω+a_<1-1>sinω)], f= (1-M^2sin^2θ)^1/^2, where U is the velocity of the undisturbed flow of Mach number M streaming in the positive direction of x-axis, and x=r cosθ, у=rsinθcosω Z=rsinθsinω). Using this expression, the force (X, Y, Z) and moment (M_x. M_y. M_x) experienced by the body are found to be: X=p_Q_U, Y=Z=0, M_x=0, M_y, <x-±>4πa_1±p_∞U^2(1-M^2)^<-1>, where p_∞Q_∞ is the total strength of sources, and p_∞ the density at infinity.
- 社団法人日本物理学会の論文
- 1951-10-25
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