FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119634928
Author: Borgnakke
Publisher: WILEY
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Consider the two flows through identical nozzles sketched below. If the reservoir pressures and temperature are the same for the two flows, calculate the ratio of
the mass flow rates at the exits of the nozzles, m,/m, .
Me >d0
At
Ae/At=4
M-1
Me
(b) Air flows through a cylindrical duct at a rate of 2.3 kg/s. Friction between air and the
duct and friction within air can be neglected. The diameter of the duct is 10cm and the
air temperature and pressure at the inlet are T₁ 450 K and P₁ = 200 kPa. If the Mach
number at the exit is Ma2
determine the rate of heat transfer and the pressure
difference across the duct. The constant pressure specific heat of air is cp = 1.005
kJ/kg-K. The gas constant of air is R = 0.287 kJ/kg-K and assume k = 1.4.
-
3. In figure shown, pipes 1 and 2 are of diameter 3 cm, D3 = 4 cm.
Alcohol (SG = 0.80) enters section 1 at 6 m/s while water enters at
section 2 at 10 m/s. Assuming ideal mixing of incompressible fluids,
compute the exit velocity and density of the mixture at section 3. The
temperature is 20°C. Answer: 9 m/s, 928 kg/m3
(2)
Ideal mixing
(3)
V₂-P3
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- (4) A water hose connected to a nozzle is used to fill a 10 L container. The internal diameter of the hose is 2 cm and the nozzle exit has an inner diameter of 1.7 cm. It takes 30 s to fill up the container. If the inlet pressure is 2 atm and the nozzle exit is 0.8 m above the hosea. What is the velocity (m/s) of water at the outlet stream and at the inlet stream?b. What is the water pressure (atm) at the outlet stream c. What is the mass flow rate of water (kg/s)?arrow_forwardIt is a Thermodynamics subject please show the complete and step by step solution. Use the given format I inserted. Please answer it as soon as possible.arrow_forwardA large vessel contains compressed air at To = 350 K and Po = 2 bar. A converging-diverging nozzle is attached to the vessel to discharge air. The throat area of the nozzle is 200 cm2. At the exit, the pressure is 20 kPa and the flow is supersonic. Answer the followings:arrow_forward
- Air enters a nozzle that has an inlet area of 0.4 m?, at 200 kPa, 500 °C. and 30 m/s. At the exit the conditions are 100 kPa and 443 °C. Part A If the exit area is 45 cm? , determine the steady-state exit velocity. Use the IG flow-state TESTcalc. Express the steady-state exit velocity in meters per second to four significant figures. ΑΣφ vec ? V. = m/s Submit Request Answerarrow_forwardQ.2. Air flows through a constant-area duct is connected to a reservoir at a temperature of 500°C and a pressure of 500 kPa by a converging nozzle, as shown in Figure. Heat is lost at the rate of 250 kJ /kg. Determine the exit pressure and Mach number and the mass flow rate for a back pressure of 0 kPa. q = 250 kJ/kg Pr = 500 kPa Tr = 500°C Po = 0 kPa D= 0.02marrow_forwardDon't use chatgpt will upvotearrow_forward
- Air flows through a converging-diverging (c-d) nozzle. It is supplied from a large air reservoir in which the temperature is 446 K and the pressure is 190 kPa. The velocity and the cross-sectional area at the nozzle exit are 594 m/s and 0.0005 m^2, respectively. Find the followings: Mach number at exit is Area of the throat is The mass flow rate of air is The exit temperature is The exit pressure isarrow_forwardA=1arrow_forwardAir at 30 lbf/in2 absolute and 200F flows from a reservoir into a duct. The flow is steady, adiabatic, frictionless. The flow rate is 10lbm/s. What are the cross-sectional area, temperature, pressure, and Mach number at the point in the duct where the velocity is 1,400 ft/s?arrow_forward
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