Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 12, Problem 4P
To determine
The static pressure and temperature of the air.
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The compressor of a jet engine tested at sea level on a stationary test bed on a day when the atmospheric temperature and pressure is 298 K and 101kPa, respectively. When running at its design operating point, the masss flow rate through the compressor is measured as 15 kg/s and the rational speed is 6200 rpm. Determine the mass flow rate and the rational speed when the compressor is operating at the design operating point during high altitude cruise with an onlet stagnation temperature of 236 K and an inlet stagnation pressure of 10.2 kpa. The design pressure ratio of compressor is 20. If the compressor isentropic efficiency is determined from the test to be 85=, calculate the power input at the cruise condition. Assume for air that y=1. 4 and Cp=1005 kJ/kg-K throughout.
4.
Carbon dioxide flows steadily through a varying cross-sectional-area duct such as a nozzle at a mass flow rate of 3 kg/s. The carbon dioxide enters the duct at a pressure of 1400 kPa and 200°C with a low velocity, and it expands in the nozzle to a pressure of 200 kPa. The duct is designed so that the flow can be approximated as isentropic.
Determine the following parameters at each location along the duct that corresponds to a pressure drop of 200 kPa:
(i)
density;
(ii)
velocity;
(iii)
flow area;
(iv)
mach number.
You may assume:
• Carbon dioxide is an ideal gas with constant specific heats at room temperature;
• Flow through the duct is steady, one-dimensional and isentropic.
Use cp=…
Air flows through a device such that the stagnation pressure is 0.4 MPa, the stagnation temperature is 400°C, and the velocity is 520 m/s. Determine the static pressure and temperature of the air at this state
Chapter 12 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 12 - What is dynamic temperature?Ch. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Calculate the stagnation temperature and pressure...Ch. 12 - Prob. 7PCh. 12 - Prob. 8EPCh. 12 - Prob. 9PCh. 12 - Products of combustion enter a gas turbine with a...Ch. 12 - Is it possible to accelerate a gas to a supersonic...Ch. 12 - Prob. 18P
Ch. 12 - Prob. 28PCh. 12 - Prob. 39PCh. 12 - Prob. 41EPCh. 12 - Prob. 64PCh. 12 - Air enters a converging—diverging nozzle with low...Ch. 12 - Prob. 75EPCh. 12 - Prob. 76EPCh. 12 - Prob. 78PCh. 12 - Prob. 79PCh. 12 - Prob. 80CPCh. 12 - On a T-s diagram of Raleigh flow, what do the...Ch. 12 - What is the effect of heat gain and heat toss on...Ch. 12 - Prob. 83CPCh. 12 - Prob. 84CPCh. 12 - Prob. 85CPCh. 12 - Argon gas enters a constant cross-sectional area...Ch. 12 - Prob. 87PCh. 12 - Prob. 88PCh. 12 - Prob. 89PCh. 12 - Prob. 90EPCh. 12 - Prob. 92EPCh. 12 - Prob. 93PCh. 12 - Prob. 94PCh. 12 - Prob. 95PCh. 12 - Prob. 96PCh. 12 - Prob. 97CPCh. 12 - Prob. 98CPCh. 12 - Prob. 99CPCh. 12 - Prob. 100CPCh. 12 - Prob. 101CPCh. 12 - Prob. 102CPCh. 12 - Prob. 103CPCh. 12 - Prob. 104CPCh. 12 - Air enters a 12-cm-diameter adiabatic duct at...Ch. 12 - Air enters a 15-m-long, 4-cm-diameter adiabatic...Ch. 12 - Air enters a 5-cm-diameter, 4-m-long adiabatic...Ch. 12 - Helium gas with k=1.667 enters a 6-in-diameter...Ch. 12 - Air enters a 15-cm-diameter adiabatic duct with...Ch. 12 - Air flows through a 6-in-diameter, 50-ft-long...Ch. 12 - Air in a room at T0=300k and P0=100kPa is drawn...Ch. 12 - Prob. 115PCh. 12 - Prob. 116PCh. 12 - Prob. 117PCh. 12 - Prob. 118PCh. 12 - Prob. 119PCh. 12 - Prob. 120PCh. 12 - Prob. 121PCh. 12 - Prob. 122PCh. 12 - A subsonic airplane is flying at a 5000-m altitude...Ch. 12 - Prob. 124PCh. 12 - Prob. 125PCh. 12 - Prob. 126PCh. 12 - Prob. 128PCh. 12 - Prob. 129PCh. 12 - Prob. 130PCh. 12 - An aircraft flies with a Mach number Ma1=0.9 at an...Ch. 12 - Prob. 132PCh. 12 - Helium expands in a nozzle from 220 psia, 740 R,...Ch. 12 - Prob. 136PCh. 12 - Prob. 137PCh. 12 - Prob. 138PCh. 12 - Prob. 139PCh. 12 - Prob. 140PCh. 12 - Prob. 141PCh. 12 - Prob. 142PCh. 12 - Prob. 143PCh. 12 - Prob. 144PCh. 12 - Prob. 145PCh. 12 - Prob. 146PCh. 12 - Prob. 147PCh. 12 - Air is cooled as it flows through a 30-cm-diameter...Ch. 12 - Prob. 149PCh. 12 - Prob. 152PCh. 12 - Prob. 155PCh. 12 - Prob. 156PCh. 12 - Prob. 157PCh. 12 - Prob. 158PCh. 12 - Prob. 159PCh. 12 - Prob. 160PCh. 12 - Prob. 161PCh. 12 - Prob. 162PCh. 12 - Prob. 163PCh. 12 - Prob. 164PCh. 12 - Assuming you have a thermometer and a device to...
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- For the specific volume of wet steam, SV=(1-Xv)SV (liq) + XvSV (vapor). Entropy is also calculated this way. If a tank initially has 5kg of wet steam with mass of vapor =1 kg at 100 kPa, and it is heated such that saturated vapor remains in the tank. Assuming that the process is in constant volume, what will be the entropy change of the steam (Kj/K)?arrow_forwardIn an ideal nozzle, the enthalpy change of the gas is 69.4 kJ/kg. Assuming the initial velocity is negligible what is the final velocity (Enter your answer to the nearest whole number of m/s)?arrow_forwardArgon 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).arrow_forward
- An adiabatic expansion of air occurs through a nozzle from 830 KPa and 750C to 140 KPa.The initial kinetic energy is negligible. For an isentropic expansion,4.1 Determine the specific volume4.2 Determine the final temperature4.3 Solve for the speed at the exit sectionarrow_forwardQ1/ Air enters a compressor at a mass flow rate of 0.04 kg/s with a stagnation pressure of 100 kPa and a stagnation temperature of 400 °C, and it is compressed to a stagnation pressure of 900 kPa. Assuming the compression process to be adiabatic and reversible, find the power required for the compressorarrow_forwardPlease check attach filearrow_forward
- (B) 2.4 kg of air at a temperature of 523K and a pressure of 650 kPa expand according to the processes (a) isothermal process , (b) polytropic process of index n=1.2 , (c) adiabatic process, to a pressure of 100 kPa. Find the change in entropy in each case. Take y = 1.41 and cy =0.708 kJ/kg.Karrow_forwardSaturated liquid at 160°C is contained in a closed rigid vessel. The vessel is heated until the pressure is 2500 kpa. Compute of the change of entropy in kj/k if the mass of liquid is 30.60 kgarrow_forwardA multi-stage high-pressure steam turbine is supplied with steam at a stagnation pressure of 7 MPa. and a stagnation temperature of 500°C. The corresponding specific enthalpy is 3410 kJ/kg. The steam exhausts from the turbine at a stagnation pressure of 0.7 MPa, the steam having been in a superheated condition throughout the expansion. It can be assumed that the steam behaves like a perfect gas over the range of the expansion and that y = 1.3. The specific volume of superheated steam is represented by pv = 0.231(h-1943) where p is in kPa, v is in mkg and h is in kJ/kg. Given that the turbine flow process has a small-stage efficiency of 0.82, detemine the temperature and specific volume at the end of the expansion. Following the Q1, find out the reheat factor RH.arrow_forward
- If a flying airplane is at an altitude of 10,000 m. How would I determine the gage pressure at the stagnation point at the nose of plane with a velocity of 271 m/s. Density of air 0.40 kg/m3.arrow_forwardAir flows steadily through a varying cross-sectional area duct such as a nozzle at a mass flow rate of 10 lb/s. The air enters the duct at a pressure of 200 lb/in2 and 445°F with a low velocity, and it expands in the nozzle to an exit pressure of 30 lb/in2. The duct is designed so that the flow can be approximated as isentropic. Determine the density, velocity, flow area, and Mach number at each location along the duct that corresponds to an overall pressure drop of 30 lb/in2.arrow_forwardSteam flows through a nozzle at 400 °C and 1 MPa (h= 263.9 kJ/kg) with velocity of 300 m/s. Find the stagnation enthalpy.arrow_forward
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