Accuracy of M^{2}Expansion Solution of the Flow past a Circular Cylinder
Abstract
Theoretical test for the accuracy of the M^{2}expansion solutions to subsonic flow problems has been made by taking the simplest and basic case of the flow past a circular cylinder without circulation. Imai’s equation of twodimensional compressible flow is used for this purpose and the velocity q is assumed to bear the characteristics of the M^{2}expansion solutions of this particular flow problem. It is shown then that, under a certain condition, all q’s satisfying the above equation approximately do not differ much as to their magnitudes. This property which is called the ‘appropriateness’ of the equation is utilized to check the accuracy of the M^{2}expansion solutions, leading to an error estimate in terms of the free stream Mach number M and the adiabatic index γ.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 June 1975
 DOI:
 10.1143/JPSJ.38.1760
 Bibcode:
 1975JPSJ...38.1760S
 Keywords:

 Boundary Value Problems;
 Circular Cylinders;
 Compressible Flow;
 Flow Equations;
 Subsonic Flow;
 Two Dimensional Flow;
 Adiabatic Conditions;
 Mach Number;
 Uniform Flow;
 Fluid Mechanics and Heat Transfer