Theoretical investigation of transonic similarity for bodies of revolution /

Solution for compressible flow past slender bodies of revolution has been derived by an iteration procedure similar to Rayleigh-Janzen and Prandtl-Ackeret methods. Solution has been analyzed with respect to transonic similarity. Results are in approximate agreement with those of von Karman in region of flow field not to close to the body. In neighborhood of the body, a different similarity law is obtained, which holds for variations in thickness ratio and Mach number, but not for variations in specific-heat ratio. In addition, this law appears to be limited in applicability to extremely slender bodies of revolution. The differences between results of the present investigation and those of von Karman are interpreted in terms of the manner in which boundary condition on the body is satisfied and of the nature of the singularity of the solution near the axis.NACA TN No. 2239."December 1950."Includes bibliographical references.Solution for compressible flow past slender bodies of revolution has been derived by an iteration procedure similar to Rayleigh-Janzen and Prandtl-Ackeret methods. Solution has been analyzed with respect to transonic similarity. Results are in approximate agreement with those of von Karman in region of flow field not to close to the body. In neighborhood of the body, a different similarity law is obtained, which holds for variations in thickness ratio and Mach number, but not for variations in specific-heat ratio. In addition, this law appears to be limited in applicability to extremely slender bodies of revolution. The differences between results of the present investigation and those of von Karman are interpreted in terms of the manner in which boundary condition on the body is satisfied and of the nature of the singularity of the solution near the axis.Mode of access: Internet