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3. It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annu- lar fins (k = 240 W/m K) to the cylinder wall (k = 50 W/m.K). r₁ = 60 mm Cylinder wall- r₁ = 66 mm r₂ = 70 mm T₁ r = 95 mm Aluminum casing T₁ Tb t = 2 mm 8 = 2 mm ↑↑↑ Too, h The air is at 320 K and the corresponding convection coefficient is 100 W/m² K. Although heating at the inner surface is periodic, it is reasonable to assume steady-state conditions with a time-averaged heat flux of q= 105 W/m². Assuming negligible contact resistance between the wall and the casing, determine the wall inner temperature T, the interface temperature T₁, and the fin base temperature Th. Determine these temperatures if the interface contact resistance is R = 104 m² K/W.

3. It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annu- lar fins (k = 240 W/m K) to the cylinder wall (k = 50 W/m.K). r₁ = 60 mm Cylinder wall- r₁ = 66 mm r₂ = 70 mm T₁ r = 95 mm Aluminum casing T₁ Tb t = 2 mm 8 = 2 mm ↑↑↑ Too, h The air is at 320 K and the corresponding convection coefficient is 100 W/m² K. Although heating at the inner surface is periodic, it is reasonable to assume steady-state conditions with a time-averaged heat flux of q= 105 W/m². Assuming negligible contact resistance between the wall and the casing, determine the wall inner temperature T, the interface temperature T₁, and the fin base temperature Th. Determine these temperatures if the interface contact resistance is R = 104 m² K/W.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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3. It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annu- lar fins (k = 240 W/m K) to the cylinder wall (k = 50 W/m K). r₁ = 60 mm Cylinder wall = 66 mm r₂ = 70 mm T₁ -ro= 9- = 95 mm Aluminum casing T₁ Tb = t = 2 mm 8 = 2 mm Too, h The air is at 320 K and the corresponding convection coefficient is 100 W/m² K. Although heating at the inner surface is periodic, it is reasonable to assume steady-state conditions with a time-averaged heat flux of q" = 105 W/m². Assuming negligible contact resistance between the wall and the casing, determine the wall inner temperature T, the interface temperature T₁, and the fin base temperature Th. Determine these temperatures if the 10-4 m² K/W. interface contact resistance is Re
Transcribed Image Text:3. It is proposed to air-cool the cylinders of a combustion chamber by joining an aluminum casing with annu- lar fins (k = 240 W/m K) to the cylinder wall (k = 50 W/m K). r₁ = 60 mm Cylinder wall = 66 mm r₂ = 70 mm T₁ -ro= 9- = 95 mm Aluminum casing T₁ Tb = t = 2 mm 8 = 2 mm Too, h The air is at 320 K and the corresponding convection coefficient is 100 W/m² K. Although heating at the inner surface is periodic, it is reasonable to assume steady-state conditions with a time-averaged heat flux of q" = 105 W/m². Assuming negligible contact resistance between the wall and the casing, determine the wall inner temperature T, the interface temperature T₁, and the fin base temperature Th. Determine these temperatures if the 10-4 m² K/W. interface contact resistance is Re
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