Problem 5. Air flows steadily and adiabatically from a large tank at a stagnation pressure of Poi = 10 bar and stagnation temperature of To = 400 K through a frictionless converging nozzle and into a constant-area pipe with a diameter of D = 0.10 m and an average friction factor of f = 0.30. At Section (1) at the nozzle exit (or duct inlet), the absolute pressure is P1 = 8.0 bar. At Section (2) at the duct exit, the absolute pressure is P1 = 5.0 bar. (a) Determine the Mach numbers and temperatures at Section (1) and Section (2). (b) Determine the critical length and the length of pipe from Section (1) and Section (2). (c) Sketch the T-s diagram for flow from large tank to Section (2). (d) Briefly discuss what will happen if the length of the pipe is increased with fixed Po1 and To.

Problem 5. Air flows steadily and adiabatically from a large tank at a stagnation pressure of Poi = 10 bar and stagnation temperature of To = 400 K through a frictionless converging nozzle and into a constant-area pipe with a diameter of D = 0.10 m and an average friction factor of f = 0.30. At Section (1) at the nozzle exit (or duct inlet), the absolute pressure is P1 = 8.0 bar. At Section (2) at the duct exit, the absolute pressure is P1 = 5.0 bar. (a) Determine the Mach numbers and temperatures at Section (1) and Section (2). (b) Determine the critical length and the length of pipe from Section (1) and Section (2). (c) Sketch the T-s diagram for flow from large tank to Section (2). (d) Briefly discuss what will happen if the length of the pipe is increased with fixed Po1 and To.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Air enters a diffuser with velocity 289.3m/sec and temperature T₁-300°K and exits with negligible velocity. Assume that air is an ideal gas with Cp=1.004 kJ/kg. Determine the temperature T₁ at the outlet of the diffuser. Provide your answer in Kelvin (K). 1
stagi 900 kPa 1- Air enters a compressor for a mass flow rate of 0.04 kg/s. at a stagnation temperature 358 K. Assuming the AIR compression process to be isentropic, determine the power 0.04 kg/s require. 100 kPa stagnation
An air pump is used to fill a rigid gas bottle with air. The pump is connected to the gas bottle via a rigid pipe. The pump consists of a piston of internal diameter d=0.08 m and a cylinder with a stroke L=0.3m. Air enters the pump through an orifice located at the bottom of the cylinder to raise the pressure in the pump to atmospheric pressure. Air, drawn into the pump through the orifice, mixes completely and adiabatically with the cylinder contents. A valve allows the bottle's refill. The valve opens when the pump pressure is equal to the gas bottle. The valve is always closed when the pump pressure is below the gas bottle pressure. Pressure drop across the valve can be neglected. The bottle, the connecting pipe and the pump are thermally insulated. Air in the pump and connecting pipe undergoes isentropic compression and expansion processes. I F-one The working fluid (air) can be considered a perfect gas with R=287 J/KgK, cp=1005 J/KgK and y=1.4. Initially the piston is located at…
The converging-diverging nozzle(as shown in the figure given below) expands and accelerates dry air to supersonic speeds at the exit where p2 = 8 kPa and T₂ = 240 K. At the throat, p₁ = 284 kPa, T₁= 665 K, and V₁ = 495 m/s. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Air- D₁ = 1 cm Kg/s D₂ = 2.5 cm Determine the mass flow for a steady compressible flow of an ideal gas.
Following manufacture, it is planned to use the biodiesel to power a rocket which uses a de Laval nozzle. The nozzle throat has a cross-sectional area of 5.5 x 10-3 m2. The hot air enters the nozzle at 300 bar(atm) and 77 °C and exits nozzle at 1 bar(atm). If we have choked flow at the throat, what is the pressure at the throat? Considering we have choked flow at the throat, what is the flow rate at the exit of the nozzle?
An ideal gas passes a diffuser. At the diffuser inlet, the temperature is T1 = 350.00 K, the pressure P1 = 100.00 kPa, the velocity V1 = 200.00 m/s, and the inlet area A1 = 0.30 m2. At the exit, the velocity is very small. The specific heat of the ideal gas at the constant pressure is cp = 1.0050 kJ/(kg·K). The gas constant is R = 0.2870 kPa·m3/(kg·K). Determine the mass flow rate __________(kg/s)
V1
Air flows isentropically through a duct as shown in the figure below. For the conditions shown, find the Mach number at both stations 1 and 2 and the flowrate. The diameter is not necessarily constant. Ma₁ (1) D₁ = 0.15 m V₁ = 40 m/s P1 = 4 atm abs. Ma₁ = Ma₂ = i m₁ = M. kg/s Ma₂ (2 T₂ = 225 K P2 = 2 atm abs.
2. An ideal gas, following the relationship (Pv = 75 m2/s²), flows in a horizontal pipe at a constant temperature. The internal diameter of the pipe is 0.025 m and the pressure drop is 11 kPa for each 5m length. Calculate the mass flow rate per unit area in kg/sm2, assuming the pressure at the end of the pipe is 12 kpa and the friction factor f = 0.009. Ignore the kinetic energy.
Argon is accelerated in a nozzle from 32 m/s at 666 K to 441 m/s and 196 kPa. If the heat loss is equal to 5.1 kJ/kg, determine the gas temperature at outlet in K to 1 decimal place. Take the gas constant as 0.2 (kPa m3)/(kg K) and assume constant specific heats cp=0.5 kJ/(kg K) and cv=0.3 kJ/(kg K).
Q#2 Air is flowing through a venture-meter whose diameter is 2.6 in at the entrance part (location 1) and 1.8 in at the throat (location 2). The gage pressure is measured to be 12.2 psia at the entrance and 11.8 psia at the throat. Neglecting frictional effects, show that the volume flow rate can be expressed as 2(P - P2) v = Ar p(1 – AIA}) and determine the flow rate of air. Take the air density to be 0.075 lbm/ft3. 12.2 psia 11.8 psia Air 2.6 in 1.8 in
Gas flowing through a diverging nozzle has at inlet section a temperature of 20 °C, pressure 120 kN/m? and velocity 300 m/s. At the outlet of the nozzle the velocity has fallen to 100 m/s. Assuming an adiabatic flow, what is the values of outlet pressure, temperature, internal energy and specific enthalpy at outlet section. Take y = 1.333 and Cv= 0.86 kJ/kg K.