A shaft of 0.06-m diameter is heat treated in a gas-fired furnace whose gases is at 1200 K and provide a convection coefficient of 125 W/m² K. If the shaft enters the furnace at 300 K and stays in the furnace. (1) What is the centerline temperature (in K) of the shaft after 900 seconds? (2) What is the value of the dimensionless Fourier number? The shaft material has a density of 7000 kg/m², thermal conductivity of 50 W/m.K, and specific heat capacity 500 J/kg.K. Please show your work and assumptions.
A shaft of 0.06-m diameter is heat treated in a gas-fired furnace whose gases is at 1200 K and provide a convection coefficient of 125 W/m² K. If the shaft enters the furnace at 300 K and stays in the furnace. (1) What is the centerline temperature (in K) of the shaft after 900 seconds? (2) What is the value of the dimensionless Fourier number? The shaft material has a density of 7000 kg/m², thermal conductivity of 50 W/m.K, and specific heat capacity 500 J/kg.K. Please show your work and assumptions.
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
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Transcribed Image Text:A shaft of 0.06-m diameter is heat treated in a gas-fired furnace whose gases is at
1200 K and provide a convection coefficient of 125 W/m² K. If the shaft enters the
furnace at 300 K and stays in the furnace. (1) What is the centerline temperature (in
K) of the shaft after 900 seconds? (2) What is the value of the dimensionless Fourier
number? The shaft material has a density of 7000 kg/m², thermal conductivity of 50
W/m.K, and specific heat capacity 500 J/kg.K. Please show your work and
assumptions.
Expert Solution
Step 1
Given information:
Shaft diameter, d = 0.06 m
Gas temperature, T∞ = 1200 K
Convection coefficient, h = 125 W/m2.K
Inlet temperature of shaft, Ti = 300 K
Time, t = 900 s
Density of the shaft material, ρ = 7000 kg/m3
Thermal conductivity of the shaft, k = 50 W/m.K
Specific heat capacity of the shaft, Cp = 500 J/kg.K
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