(a) Air flows through a pipe at a rate of 12 m³/s at a pressure and temperature of 100 kPa and 303 K respectively. The pipe is 13 m long with an internal diameter of 0.25 m and it has an average friction factor of Cf= 0.006 (the same as f= 0.006 in the Anderson textbook). Adiabatic flow can be assumed. The pipe is shown in the schematic diagram below. Find: (i) (ii) (iii) (iv) any assumptions required to solve this problem; the Mach number at the exit; the inlet (static) pressure and temperature; the additional length of pipe required to bring the flow to a choked state. If you use data tables, use the nearest tabulated value - do not interpolate. 13 m P1 T1 M₁ P2 = 100 kPa T₂ = 303 K Q = 12 m³/s -M₂ Figure 1. Adiabatic flow in a pipe with friction.

Elements Of Electromagnetics
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Question 1
(a) Air flows through a pipe at a rate of 12 m³/s at a pressure and temperature of 100 kPa and
303 K respectively. The pipe is 13 m long with an internal diameter of 0.25 m and it has an
average friction factor of Cf= 0.006 (the same as f= 0.006 in the Anderson textbook). Adiabatic
flow can be assumed. The pipe is shown in the schematic diagram below.
Find:
(i)
(ii)
any assumptions required to solve this problem;
the Mach number at the exit;
(iii)
the inlet (static) pressure and temperature;
(iv) the additional length of pipe required to bring the flow to a choked state. [
If you use data tables, use the nearest tabulated value - do not interpolate.
13 m
P1
M₁
P2 = 100 kPa
T₂ = 303 K
Q = 12 m³/s
-M₂
O
Figure 1. Adiabatic flow in a pipe with friction.
Transcribed Image Text:Question 1 (a) Air flows through a pipe at a rate of 12 m³/s at a pressure and temperature of 100 kPa and 303 K respectively. The pipe is 13 m long with an internal diameter of 0.25 m and it has an average friction factor of Cf= 0.006 (the same as f= 0.006 in the Anderson textbook). Adiabatic flow can be assumed. The pipe is shown in the schematic diagram below. Find: (i) (ii) any assumptions required to solve this problem; the Mach number at the exit; (iii) the inlet (static) pressure and temperature; (iv) the additional length of pipe required to bring the flow to a choked state. [ If you use data tables, use the nearest tabulated value - do not interpolate. 13 m P1 M₁ P2 = 100 kPa T₂ = 303 K Q = 12 m³/s -M₂ O Figure 1. Adiabatic flow in a pipe with friction.
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