Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 1, Problem 5CP
How is the Mach number of a flow defined? That does a Mach number of 2 indicate?
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A group of 23 power transistors, dissipating 2 W each, are to be cooled by attaching them to a black-anodized square aluminum plate and mounting the plate on the wall of a room at 30°C. The emissivity of the transistor and the plate surfaces is 0.9. Assuming the heat transfer from the back side of the plate to be negligible and the temperature of the surrounding surfaces to be the same as the air temperature of the room, determine the length of the square plate if the average surface temperature of the plate is not to exceed 50°C. Start the iteration process with an initial guess of the size of the plate as 43 cm.
The properties of air at 1 atm and the film temperature of (Ts + T)/2 = (50 + 30)/2 = 40°C are k = 0.02662 W/m·°C, ν = 1.702 × 10–5 m2 /s, Pr = 0.7255, and β = 0.003195 K–1.
Multiple Choice
0.473 m
0.284 m
0.513 m
0.671 m
Chapter 1 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 1 - What is a fluid? How does it differ from a solid?...Ch. 1 - Consider the flow of air over the wings of an...Ch. 1 - Define incompressible flow and in compressible...Ch. 1 - Define internal, external, and open-channel flows.Ch. 1 - How is the Mach number of a flow defined? That...Ch. 1 - When an airplane is flying at a constant speed...Ch. 1 - Consider the flow of air at a Mach number of 0.12....Ch. 1 - What is the no-slip condition? What causes it?Ch. 1 - What is forced flow? How does it differ from...Ch. 1 - What is a boundary layer? What causes a boundary...
Ch. 1 - What is the difference between the classical and...Ch. 1 - What is a steady-flow process?Ch. 1 - Define stress, normal stress, shear stress, and...Ch. 1 - When analyzing the acceleration of gases as they...Ch. 1 - When is a system a closed system, and when is it a...Ch. 1 - You are to understand how a reciprocating air...Ch. 1 - What are system, surroundings, and boundary?Ch. 1 - Explain why the light-year has the dimension of...Ch. 1 - Prob. 19CPCh. 1 - What is the difference between pound-mass and...Ch. 1 - Prob. 21CPCh. 1 - What is the net force acting on a car cruising at...Ch. 1 - A 6-kg plastic tank that has a volume of 0.18 m3...Ch. 1 - What is the weight, in N, of an object with a mass...Ch. 1 - What is the weight of a 1-kg substance in N,...Ch. 1 - Prob. 26PCh. 1 - While solving a problem, a person ends up with the...Ch. 1 - A195-Ibm astronaut took his bathroom scale (a...Ch. 1 - The acceleration of high-speed aircraft sometimes...Ch. 1 - Prob. 30PCh. 1 - The value of the gravitational acceleration g...Ch. 1 - At 45° latitude: the gravitational acceleration as...Ch. 1 - Prob. 34PCh. 1 - The gas tank of a car is filled with a nozzle that...Ch. 1 - A pool of volume V (in m3) is to filled with water...Ch. 1 - Based on unit considerations alone, show that the...Ch. 1 - An airplane flies horizontally at 70m/s . Its...Ch. 1 - If the airplane of Prob. 1-35 weighs 17 lbf,...Ch. 1 - The boom of a fire truck raises a fireman (and his...Ch. 1 - A man goes to a traditional market to buy a steak...Ch. 1 - Water at 20°C from a garden hose fills a 2.0 L...Ch. 1 - A forklift raises a 90.5 kg crate 1.80 m. (a)...Ch. 1 - What is the importance of modeling in engineering?...Ch. 1 - What is the difference between the analytical and...Ch. 1 - Prob. 46CPCh. 1 - What is the difference between precision and...Ch. 1 - How do the differential equations in the study of...Ch. 1 - What is the value of the engineering software...Ch. 1 - The reactive force developed by a jet to push an...Ch. 1 - The weight of bodies may change somewhat from one...Ch. 1 - An important design consideration in two-phase...Ch. 1 - Consider the flow of air through a wind turbine...Ch. 1 - Prob. 60PCh. 1 - The speed of an aircraft is given to be 260 m/s in...Ch. 1 - Prob. 62PCh. 1 - If mass, heat, and work are not allowed to cross...Ch. 1 - The weight of a 10-kg mass at sea level is (a)...Ch. 1 - The weight of a 1 -Ibm mass is (a) 1Ibmft/s2 (b)...Ch. 1 - Prob. 66PCh. 1 - Prob. 67PCh. 1 - A hydroelectric power plant operates at its rated...Ch. 1 - Write an essay on the various mass- and...Ch. 1 - Search the Internet to find out how to properly...
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- A 40-cm-diameter, 127-cm-high cylindrical hot water tank is located in the bathroom of a house maintained at 20°C. The surface temperature of the tank is measured to be 44°C and its emissivity is 0.4. Taking the surrounding surface temperature to be also 20°C, determine the rate of heat loss from all surfaces of the tank by natural convection and radiation. The properties of air at 32°C are k=0.02603 W/m-K, v=1.627 x 10-5 m²/s, Pr = 0.7276, and ẞ = 0.003279 K-1 The rate of heat loss from all surfaces of the tank by natural convection is The rate of heat loss from all surfaces of the tank by radiation is W. W.arrow_forwardA 2.5-m-long thin vertical plate is subjected to uniform heat flux on one side, while the other side is exposed to cool air at 5°C. The plate surface has an emissivity of 0.73, and its midpoint temperature is 55°C. Determine the heat flux subjected on the plate surface. Uniform heat flux -Plate, € = 0.73 Cool air 5°C 7 TSUIT Given: The properties of water at Tf,c= 30°C. k=0.02588 W/m.K, v=1.608 x 10-5 m²/s Pr = 0.7282 The heat flux subjected on the plate surface is W/m²arrow_forwardHot water is flowing at an average velocity of 5.82 ft/s through a cast iron pipe (k=30 Btu/h-ft-°F) whose inner and outer diameters are 1.0 in and 1.2 in, respectively. The pipe passes through a 50-ft-long section of a basement whose temperature is 60°F. The emissivity of the outer surface of the pipe is 0.5, and the walls of the basement are also at about 60°F. If the inlet temperature of the water is 150°F and the heat transfer coefficient on the inner surface of the pipe is 30 Btu/h-ft².°F, determine the temperature drop of water as it passes through the basement. Evaluate air properties at a film temperature of 105°C and 1 atm pressure. The properties of air at 1 atm and the film temperature of (Ts+ T∞)/2 = (150+60)/2 = 105°F are k=0.01541 Btu/h-ft-°F. v=0.1838 × 10-3 ft2/s, Pr = 0.7253, and ẞ = 0.00177R-1arrow_forward
- hand-written solutions only, please. correct answers upvoted!arrow_forwardhand-written solutions only, please. correct answers upvoted!arrow_forward! Required information Consider a flat-plate solar collector placed horizontally on the flat roof of a house. The collector is 1.3 m wide and 2.8 m long, and the average temperature of the exposed surface of the collector is 42°C. The properties of air at 1 atm and the film temperature are k=0.02551 W/m-°C, v = 1.562 × 10-5 m²/s, Pr = 0.7286, and ẞ= 0.003356 K-1 Determine the rate of heat loss from the collector by natural convection during a calm day when the ambient air temperature is 8°C. The rate of heat loss from the collector by natural convection is W.arrow_forward
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