Answer to Question #79775 in Molecular Physics | Thermodynamics for John A.

Question

Consider the Isentropic expansion of air from fixed, given reservoir conditions (i.e. total pressure and temperature). Investigate the behaviour of the value of the Reynolds number of the flow Re=(rho*U*L)/mu (based on a fixed reference length L), as a function of the Mach number M of the expanded flow.


For small values of M the thermodynamic properties of the flow will not deviate significantly from the reservoir conditions, hence Re increases linearly with U and therefore with M.

Show that for increasing expansion (i.e. increasing M) the value of Re will eventually decrease by investigating the limit behaviour for M>>1. For the temperature dependence of viscosity, employ, Sutherlands expression and the power law where w=1.5 - T_0/(T_0+S).

T_0=288K
S=111 K

Answer 1

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