12.71 Air flows steadily through a length ( denotes inlet and 2 denotes exit) of insulated constant-area duct. Prop- erties change along the duct as a result of friction. (a) Beginning with the control volume form of the first law of thermodynamics, show that the equation can be reduced to V² m+ 1 = ·m₂ + 2 2 (b) Denoting the constant by ho (the stagnation enthalpy), show that for adiabatic flow of an ideal gas with friction To T constant k-1 =1+ + k=¹M² 2 (c) For this flow does results. To, To? Po, Po? Explain these =

Elements Of Electromagnetics
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12.71 Air flows steadily through a length ( denotes inlet
and 2 denotes exit) of insulated constant-area duct. Prop-
erties change along the duct as a result of friction.
(a) Beginning with the control volume form of the first law
of thermodynamics, show that the equation can be
reduced to
V²
m+ V² = m₂ + constant
2
(b) Denoting the constant by ho (the stagnation enthalpy),
show that for adiabatic flow of an ideal gas with friction
To
T
=1+
k-1
2
-M²
=
(c) For this flow does To, To? Po, Po₂? Explain these
results.
Transcribed Image Text:12.71 Air flows steadily through a length ( denotes inlet and 2 denotes exit) of insulated constant-area duct. Prop- erties change along the duct as a result of friction. (a) Beginning with the control volume form of the first law of thermodynamics, show that the equation can be reduced to V² m+ V² = m₂ + constant 2 (b) Denoting the constant by ho (the stagnation enthalpy), show that for adiabatic flow of an ideal gas with friction To T =1+ k-1 2 -M² = (c) For this flow does To, To? Po, Po₂? Explain these results.
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