Consider the flow over a circular cylinder; the incompressible flow oversuch a cylinder . Consider also the flow over a sphere; the incompressible flow over a sphere .The subsonic compressible flow over both the cylinder and the sphere isqualitatively similar but quantitatively different from their incompressiblecounterparts. Indeed, because of the “bluntness” of these bodies, theircritical Mach numbers are relatively low. In particular:                           For a cylinder: Mcr = 0.404                           For a sphere: Mcr = 0.57Explain on a physical basis why the sphere has a higher Mcr than thecylinder.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the flow over a circular cylinder; the incompressible flow over
such a cylinder . Consider also the flow over a sphere; the incompressible flow over a sphere .
The subsonic compressible flow over both the cylinder and the sphere is
qualitatively similar but quantitatively different from their incompressible
counterparts. Indeed, because of the “bluntness” of these bodies, their
critical Mach numbers are relatively low. In particular:
                           For a cylinder: Mcr = 0.404
                           For a sphere: Mcr = 0.57
Explain on a physical basis why the sphere has a higher Mcr than the
cylinder.

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