An engineer works in an automobile company where engines are designed. You are asked to design brass-based pistons that will slide into steel cylinders. The engine in which the pistons will be used will operate between 20 ° C and 150 ° c D. Now suppose that the material from which the pistons are made is replaced by steel. The material with which the cylinders are made is also replaced by titanium. Calculate the maximum temperature (Tmax) at which this engine can operate without the pistons lockingl, if the initial diameter of the pistons is 81.875 mm and the diameter of the cylinders is 82.010 mm and its initial temperature is 20 ° C. Note: Bear in mind that the pistons will operate correctly even at the limit when the piston diameter equals cylinder diameter. Use: abrass = 2.0 × 105 (°C) •1 asteel= 1.2 × 10-5 (°C) •1 atitanium = 85 x 10:6 (°C) -1

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.26P
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An engineer works in an automobile company where engines are designed. You
are asked to design brass-based pistons that will slide into steel cylinders. The
engine in which the pistons will be used will operate between 20 ° C and 150 ° C
D. Now suppose that the material from which the pistons are made is replaced by
steel. The material with which the cylinders are made is also replaced by titanium.
Calculate the maximum temperature (Tmax) at which this engine can operate
without the pistons locking if the initial diameter of the pistons is 81.875 mm and
the diameter of the cylinders is 82.010 mm and its initial temperature is 20 ° C.
Note: Bear in mind that the pistons will operate correctly even at the limit when the
piston diameter equals cylinder diameter.
Use:
abrass = 2.0 x 105 (°C) -'
asteel= 1.2 x 10-5 (°C) -1
atitanium = 8.5 × 10-6(°C) -1
%3D
Transcribed Image Text:An engineer works in an automobile company where engines are designed. You are asked to design brass-based pistons that will slide into steel cylinders. The engine in which the pistons will be used will operate between 20 ° C and 150 ° C D. Now suppose that the material from which the pistons are made is replaced by steel. The material with which the cylinders are made is also replaced by titanium. Calculate the maximum temperature (Tmax) at which this engine can operate without the pistons locking if the initial diameter of the pistons is 81.875 mm and the diameter of the cylinders is 82.010 mm and its initial temperature is 20 ° C. Note: Bear in mind that the pistons will operate correctly even at the limit when the piston diameter equals cylinder diameter. Use: abrass = 2.0 x 105 (°C) -' asteel= 1.2 x 10-5 (°C) -1 atitanium = 8.5 × 10-6(°C) -1 %3D
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