Explanation Given: The specific heat of water ( c p c ) is 4180 J / kg ⋅ K . The mass flow rate of water ( m ˙ c ) is 0.1 kg / s . The inlet temperature of hot water ( T c i n ) is 22 ° C . The surface area of thin wall ( A ) is 23 m 2 . The overall heat transfer coefficient ( U ) is 80 W / m 2 ⋅ K . The specific heat of air ( c p h ) is 1010 J / kg ⋅ K . The mass flow rate of air ( m ˙ h ) is 0.3 kg / s . The inlet temperature of air ( T h i n ) is 90 ° C . The length of the tube ( l ) is 12 m . The internal diameter of the tube is 1.2 cm . Calculation: Calculate the heat capacity rate of air ( C h ) using the relation. C h = m ˙ h c p h = ( 0.3 kg / s ) ( 1010 J / kg ⋅ K ) = 303 J / s ⋅ K × 1 W 1 J / s = 303 W / K Calculate the heat capacity rate of water ( C c ) using the relation. C c = m ˙ c c p a = ( 0.1 kg / s ) ( 4180 J / kg ⋅ K ) = 418 J / s ⋅ K × 1 W 1 J / s = 418 W / K Calculate the capacity ratio ( c ) using the relation. c = C min C max = C h C c = 303 W / K 418 W / K = 0.725 Calculate the maximum heat transfer rate for the heat exchanger ( Q ˙ max ) using the relation. Q ˙ max = C min ( T h i n − T c i n ) = ( 303 W / K ) ( ( 90 ° C + 273 ) K − ( 22 ° C + 273 ) K ) = ( 303 W / K ) ( 68 K ) = 20604 W Calculate the area of the tube ( A ) using the relation

Fundamentals Of Thermal-fluid Sciences In Si Units

5th Edition

ISBN: 9789814720953

Author: Yunus Cengel, Robert Turner, John Cimbala

Publisher: McGraw-Hill Education

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Heat Exchangers

Heat exchangers are the types of equipment that are primarily employed to transfer the thermal energy from one fluid to another, provided that one of the fluids should be at a higher thermal energy content than the other fluid.

Heat Exchanger

The heat exchanger is a combination of two words ''Heat'' and ''Exchanger''. It is a mechanical device that is used to exchange heat energy between two fluids.

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Chapter 22, Problem 85P

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Chapter 22 Solutions

Fundamentals Of Thermal-fluid Sciences In Si Units

Ch. 22 - Prob. 1P Ch. 22 - Prob. 2P Ch. 22 - Prob. 3P Ch. 22 - What is the role of the baffles in a...Ch. 22 - Prob. 5P Ch. 22 - Prob. 6P Ch. 22 - Prob. 7P Ch. 22 - Prob. 8P Ch. 22 - Prob. 9P Ch. 22 - In a thin-walled double-pipe heat exchanger, when...

Ch. 22 - Prob. 11P Ch. 22 - Prob. 12P Ch. 22 - Prob. 13P Ch. 22 - Prob. 14P Ch. 22 - Prob. 15P Ch. 22 - Prob. 17P Ch. 22 - Prob. 18P Ch. 22 - Prob. 19P Ch. 22 - Water at an average temperature of 110°C and an...Ch. 22 - Prob. 21P Ch. 22 - Prob. 23P Ch. 22 - Prob. 24P Ch. 22 - Under what conditions is the heat transfer...Ch. 22 - Consider a condenser in which steam at a specified...Ch. 22 - What is the heat capacity rate? What can you say...Ch. 22 - Under what conditions will the temperature rise of...Ch. 22 - Show that the temperature profile of two fluid...Ch. 22 - Prob. 30P Ch. 22 - Prob. 31P Ch. 22 - Prob. 32P Ch. 22 - Prob. 33P Ch. 22 - Prob. 34P Ch. 22 - Prob. 35P Ch. 22 - Prob. 36P Ch. 22 - Prob. 37P Ch. 22 - Prob. 38P Ch. 22 - Prob. 39P Ch. 22 - A double-pipe parallel-flow heat exchanger is to...Ch. 22 - Glycerin (cp = 2400 J/kg·K) at 20°C and 0.5 kg/s...Ch. 22 - Prob. 43P Ch. 22 - A single pass heat exchanger is to be designed to...Ch. 22 - Prob. 45P Ch. 22 - Prob. 46P Ch. 22 - Prob. 47P Ch. 22 - A counter-flow heat exchanger is stated to have an...Ch. 22 - Prob. 49P Ch. 22 - Prob. 51P Ch. 22 - Prob. 52P Ch. 22 - Prob. 54P Ch. 22 - Prob. 56P Ch. 22 - A performance test is being conducted on a...Ch. 22 - In an industrial facility a counter-flow...Ch. 22 - Prob. 59P Ch. 22 - Prob. 60P Ch. 22 - Prob. 61P Ch. 22 - A shell-and-tube heat exchanger with 2-shell...Ch. 22 - A shell-and-tube heat exchanger with 2-shell...Ch. 22 - Repeat Prob. 22–64 for a mass flow rate of 3 kg/s...Ch. 22 - A shell-and-tube heat exchanger with 2-shell...Ch. 22 - A single-pass cross-flow heat exchanger is used to...Ch. 22 - Prob. 68P Ch. 22 - Prob. 69P Ch. 22 - Prob. 70P Ch. 22 - Prob. 71P Ch. 22 - Prob. 72P Ch. 22 - Prob. 73P Ch. 22 - Under what conditions can a counter-flow heat...Ch. 22 - Prob. 75P Ch. 22 - Prob. 76P Ch. 22 - Prob. 77P Ch. 22 - Prob. 78P Ch. 22 - Prob. 79P Ch. 22 - Prob. 80P Ch. 22 - Prob. 81P Ch. 22 - Consider an oil-to-oil double-pipe heat exchanger...Ch. 22 - Hot water enters a double-pipe counter-flow...Ch. 22 - Hot water (cph = 4188 J/kg·K) with mass flow rate...Ch. 22 - Prob. 85P Ch. 22 - Cold water (cp = 4180 J/kg·K) leading to a shower...Ch. 22 - Prob. 89P Ch. 22 - Prob. 90P Ch. 22 - Prob. 91P Ch. 22 - Prob. 92P Ch. 22 - Prob. 93P Ch. 22 - Prob. 94P Ch. 22 - Prob. 95P Ch. 22 - Air (cp = 1005 J/kg·K) enters a cross-flow heat...Ch. 22 - A cross-flow heat exchanger with both fluids...Ch. 22 - Prob. 98P Ch. 22 - Prob. 99P Ch. 22 - Oil in an engine is being cooled by air in a...Ch. 22 - Prob. 101P Ch. 22 - Prob. 102P Ch. 22 - Prob. 103P Ch. 22 - Water (cp = 4180 J/kg·K) enters the...Ch. 22 - Prob. 105P Ch. 22 - Prob. 106P Ch. 22 - Prob. 107P Ch. 22 - Prob. 109P Ch. 22 - Consider the flow of saturated steam at 270.1 kPa...Ch. 22 - Prob. 111RQ Ch. 22 - Prob. 112RQ Ch. 22 - Prob. 113RQ Ch. 22 - A shell-and-tube heat exchanger with 1-shell pass...Ch. 22 - Prob. 115RQ Ch. 22 - Prob. 116RQ Ch. 22 - Prob. 117RQ Ch. 22 - Prob. 118RQ Ch. 22 - A shell-and-tube heat exchanger with two-shell...Ch. 22 - Saturated water vapor at 100°C condenses in the...Ch. 22 - Prob. 121RQ Ch. 22 - Prob. 122RQ Ch. 22 - Prob. 123RQ Ch. 22 - Prob. 124RQ Ch. 22 - Prob. 125RQ Ch. 22 - A cross-flow heat exchanger with both fluids...Ch. 22 - In a chemical plant, a certain chemical is heated...Ch. 22 - Prob. 128RQ Ch. 22 - Prob. 129RQ Ch. 22 - Prob. 130RQ Ch. 22 - Prob. 134DEP

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