Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 7, Problem 7.91P
To determine
Total number of tubes and pressure drop across the tube bank.
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Air at atmospheric pressure and 25oC is heated in a tube with an ID of 25 mm. The tube wall is maintained at a temperature of 200oC. What length of tube is required to achieve an outlet air temperature of 120oC if the air flow is 10 Nm3/hr?
Engine oil flows through a 25-mm-diameter tube at a rate of 0.5 kg/s. The oil enters the tube at a temperature of 25°C, while the tube surface temperature is maintained at 100°C. (a) Determine the oil outlet temperature for a 5-m and for a 100-m long tube. For each case, compare the log mean temperature difference to the arithmetic mean temperature difference.
The evaporator section of a heat pump is installed in a large tank of water, which is used as a heat source during the winter. As energy is extracted from the water, it begins to freeze, creating an ice/water bath at 0°C, which may be used for air conditioning during the summer. Consider summer cooling conditions for which air is passed through an array of copper tubes, each of inside diameter D = 59 mm, submerged in the bath.
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Chapter 7 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 7 - Consider the following fluids at a film...Ch. 7 - Engine oil at 100C and a velocity of 0.1 m/s flows...Ch. 7 - Consider steady, parallel flow of atmospheric air...Ch. 7 - Consider a liquid metal (Pr1), with free stream...Ch. 7 - Consider the velocity boundary layer profile for...Ch. 7 - Consider a steady, turbulent boundary layer on and...Ch. 7 - Consider flow over a flat plate for which it is...Ch. 7 - A flat plate of width 1 m is maintained at a...Ch. 7 - An electric air heater consists of a horizontal...Ch. 7 - Consider atmospheric air at 25C and a velocity of...
Ch. 7 - Repeat Problem 7.11 for the case when the boundary...Ch. 7 - Consider water at 27°C in parallel flow over an...Ch. 7 - Explain under what conditions the total rate of...Ch. 7 - In fuel cell stacks, it is desirable to operate...Ch. 7 - The roof of a refrigerated truck compartment is of...Ch. 7 - The top surface of a heated compartment consists...Ch. 7 - Calculate the value of the average heat transfer...Ch. 7 - The proposed design for an anemometer to determine...Ch. 7 - Steel (AISI 1010) plates of thickness =6mm and...Ch. 7 - Consider a rectangular fin that is used to cool a...Ch. 7 - The Weather Channel reports that it is a hot,...Ch. 7 - In the production of sheet metals or plastics, it...Ch. 7 - An array of electronic chips is mounted within a...Ch. 7 - A steel strip emerges from the hot roll section of...Ch. 7 - In Problem 7.23. an anemometer design was...Ch. 7 - One hundred electrical components, each...Ch. 7 - The boundary layer associated with parallel flow...Ch. 7 - Forced air at 250C and 10 m/s is used to cool...Ch. 7 - Air at atmospheric pressure and a temperature of...Ch. 7 - Consider a thin, 50mm50mm fuel cell similar to...Ch. 7 - The cover plate of a flat-plate solar collector is...Ch. 7 - An array of 10 silicon chips, each of length...Ch. 7 - A square (10mm10mm) silicon chip is insulated on...Ch. 7 - A circular pipe of 25-mm outside diameter is...Ch. 7 - An L=1-m- long vertical copper tube of inner...Ch. 7 - A long, cylindrical, electrical heating element of...Ch. 7 - Consider the conditions of Problem 7.49, but now...Ch. 7 - Pin fins are to be specified for use in an...Ch. 7 - Prob. 7.52PCh. 7 - Prob. 7.53PCh. 7 - Hot water at 500C is routed from one building in...Ch. 7 - In a manufacturing process, long aluminum rods of...Ch. 7 - Prob. 7.58PCh. 7 - To determine air velocity changes, it is proposed...Ch. 7 - Determine the convection heat loss from both the...Ch. 7 - Prob. 7.63PCh. 7 - Prob. 7.64PCh. 7 - Prob. 7.67PCh. 7 - A thermocouple is inserted into a hot air duct to...Ch. 7 - Consider a sphere with a diameter of 20 mm and a...Ch. 7 - Prob. 7.76PCh. 7 - A spherical, underwater instrument pod used to...Ch. 7 - Worldwide. over a billion solder balls must be...Ch. 7 - Prob. 7.80PCh. 7 - Prob. 7.81PCh. 7 - Consider the plasma spray coating process of...Ch. 7 - Prob. 7.83PCh. 7 - Tissue engineering involves the development of...Ch. 7 - Consider temperature measurement in a gas stream...Ch. 7 - Prob. 7.89PCh. 7 - A preheater involves the use of condensing steam...Ch. 7 - Prob. 7.91PCh. 7 - A tube bank uses an aligned arrangement of...Ch. 7 - A tube bank uses an aligned arrangement of...Ch. 7 - Repeat Problem 7.94, but with NL=7,NT=10, and...Ch. 7 - Heating and cooling with miniature impinging jets...Ch. 7 - A circular transistor of 10-mm diameter is cooled...Ch. 7 - A long rectangular plate of AISI 304 stainless...Ch. 7 - A cryogenic probe is used to treat cancerous skin...Ch. 7 - Prob. 7.103PCh. 7 - Prob. 7.104PCh. 7 - Prob. 7.105PCh. 7 - Consider the packed bed of aluminum spheres...Ch. 7 - Prob. 7.108PCh. 7 - Prob. 7.109PCh. 7 - Prob. 7.111PCh. 7 - Packed beds of spherical panicles can be sintered...Ch. 7 - Prob. 7.114PCh. 7 - Prob. 7.116PCh. 7 - Prob. 7.117PCh. 7 - Prob. 7.118PCh. 7 - Prob. 7.119PCh. 7 - Prob. 7.120PCh. 7 - Dry air at 35°C and a velocity of 20 m/s flows...Ch. 7 - Prob. 7.123PCh. 7 - Benzene, a known carcinogen, has been spilled on...Ch. 7 - Prob. 7.125PCh. 7 - Prob. 7.126PCh. 7 - Condenser cooling water for a power plant is...Ch. 7 - Prob. 7.128PCh. 7 - In a paper-drying process, the paper moves on a...Ch. 7 - Prob. 7.131PCh. 7 - Prob. 7.132PCh. 7 - Prob. 7.133PCh. 7 - Prob. 7.134PCh. 7 - Prob. 7.136PCh. 7 - It has been suggested that heat transfer from a...Ch. 7 - Prob. 7.138PCh. 7 - Cylindrical dry-bulb and wet-bulb thermometers are...Ch. 7 - The thermal pollution problem is associated with...Ch. 7 - Cranberries are harvested by flooding the bogs in...Ch. 7 - A spherical drop of water, 0.5 mm in diameter, is...Ch. 7 - Prob. 7.143PCh. 7 - Prob. 7.144PCh. 7 - Prob. 7.145PCh. 7 - Prob. 7.146PCh. 7 - Prob. 7.147PCh. 7 - Consider an air-conditioning system composed of a...Ch. 7 - Prob. 7.149P
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- Air (pressure 1 atm) enters a circular pipe 5 cm in diameter at 20 °C with an average speed of 5 m/s. The tube wall is maintained at a constant surface temperature of 160°C, and the mean outlet temperature is 80°C. Estimate the length of the tube. Mainly, I also need the solution from concepts of how the heat flow behaves in the system, it can be with a diagram.arrow_forwardWater at a flow rate of 0.215 kg/s is cooled from 70°C to 30°C by passing it through a thin-walled tube of diameter of 50 mm and maintaining a coolant at 15°C in cross flow over the tube. What is the required tube length if the coolant is air and its velocity is V = 20 m/s?Water : cp = 4181 J/kg⋅K, μ = 548 × 10-6 N⋅s/m2, k = 0.643 W/m⋅K, Pr = 3.56.Air : ν = 15.89 × 10-6 m2/s, k = 0.0263 W/m⋅K, Pr = 0.707.(Hint: For external flow use Churchill/Bernstein correlation.)arrow_forwardWater at 1500 kg/h and 10°C enters a 10-mmdiameter smooth tube whose wall temperature is maintained at 49°C. Calculate (a) the tube length necessary to heat the water to 40°C, and (b) the water outlet temperature if the tube length is doubled. Assume average water properties to be the same as in (a).arrow_forward
- Air (1 atm) enters into a 5-cm-diameter circular tube at 20°C with an average velocity of 5 m/s. The tube wall is maintained at a constant surface temperature of 160°C, and the outlet mean temperature is 80°C. Estimate the length of the tube.arrow_forwardExample 4: Hot air at atmospheric pressure and 80°C enters an 8–m-long uninsulated square duct of cross section 0.2 m 0.2 m that passes through the attic of a house at a rate of 0.15 m3/s (Figure). The duct is observed to be nearly isothermal at 60°C. Determine the exit temperature of the air and the rate of heat loss from the duct to the attic space.arrow_forwardQS: Water at 15.56°C i to be heated in a 2-mm-ID tube until the exit temperature reaches 26.67+C. The tube wall temperature is maintained at 48.99-C and the inlet flow velocity is 0.3 m/s. Calculate the length of tube required in meters to accomplish this heating. Also calculate the total heating required, expressed in watts. Answers: L=0.13 marrow_forward
- Write legibly, provide manual step by step solution, and diagram for below given problem. At an average temperature of 110°C, hot air flows through a 5m pipe with outside diameter of 80mm and pipe thickness of 1cm. The temperature of the tube along its entire length is 240°C. If heat transfer if 650 W, find the convective film coefficient, W/m² - C.arrow_forwardA non-thermally insulated industrial water vapor pipe is 25 m long and 100 mm in diameter. This line crosses a building whose walls and ambient air are at 25oC. Pressurized steam holds the tube surface at 150oC and the convective coefficient is 10 W/(m.K). The surface emissivity is ε=0.8. (a) the heat loss on this line; (b) if the steam is generated in a boiler that operates at 90% efficiency and uses natural gas priced at $0.20/MJ, what is the annual cost of this heat loss? Answer: (a) 18.41 W; (b) $129,000arrow_forwardAir with an average temperature of 25oC flows inside a tube arrangement consisting 10 rows of tubes. Each tube has an outer diameter of 1.9 cm. The air enters the tube arrangement inlet at 2 m/s velocity. Calculate the heat transfer coefficient, coefficient of friction, and pressure drop inside the tube arrangement if: a) Using staggered tube arrangement with b) Using aligned tube arrangement witharrow_forward
- Estimate the mass-transfer coefficient for moist air flowing normal to a 25 mm diameter tube (Nu = 0.615 Re0.47). The air velocity is 0.5 m/s. Assume standard air.arrow_forwardProblem 3 (ii): Water at a temperature of 15 °C is flowing steadily in a 6 cm diameter, 25-meter long pipe at an average velocity of 6.0 m/sec. The flow is fully developed. The cross-section is circular. For the wall surface condition where the wall has become degraded due to pitting and deposits such that there is a surface roughness with a height of 0.3 millimeters, find the following:a) The Reynolds number. State whether laminar or turbulent flow is expected.b) The Darcy friction factor, ?.c) The pressure drop over the length of the pipe, and the corresponding head loss.arrow_forwardExhaust gases at 1 atm and 300°C are used to preheat water in an industrial facility by passing them over a bank of tubes through which water is flowing at a rate of 6 kg/s. The mean tube wall temperature is 80°C. Exhaust gases approach the tube bank in normal direction at 4.5 m/s. The outer diameter of the tubes is 0.035 m, and the tubes are arranged in-line with longitudinal and transverse pitches of SL = ST = 0.09 m. There are 16 rows in the flow direction with eight tubes in each row. Assume the air properties at 250°C and 1 atm. The air properties at the assumed mean temperature of 250°C and 1 atm are k = 0.04104 W/m·K ρ = 0.6746 kg/m3cp =1.033 kJ/kg·K Pr = 0.6946μ = 2.76 × 10−5 kg/m·s Prs = Pr@Ts = 80°C = 0.7154 The density of air at the inlet temperature of 300°C (for use in the mass flow rate calculation at the inlet) is ρi = 0.6158 kg/m3. The specific heat of water at 80°C is 4.197 kJ/kg·°C. Determine the temperature…arrow_forward
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