How Is the Boundary Layer Analyzed as Incompressible in Viscous Flow?

Stonescar
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Hello,
I'm looking at this problem which states:

"A parallel air flow along a semi infinite flat plate has undisturbed parameters as follows: "

Then they list the speed, temprature, viscousity and pressure.

"Demonstrate that the boundary layer can treated by means of incompressible analysis. "

The solution says:

Incompressible if M^{2}_{\infty}>>4

Where M^{2}_{\infty}=\frac{U^{2}}{\gamma R T}

I'm just wondering what formula this is? I've never seen it before.
What is M ?
 
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M is the Mach Number.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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