A plane wall of an oven with an insulation coating is attached to an insulated wall. The thermal conductivity and thickness of the insulation coating are 0.1 W/(mK) and 1 mm, respectively. The material of the plane wall is stainless steel 304. The density, thermal conductivity, and specific heat capacity of the stainless steel 304 are 7900 kg/m³, 74.9 W/(m-K), and 477 J/(kg-K), respectively. The wall thickness of the stainless steel 304 is 15 mm. The temperature of the plane wall with the insulated coating is initially maintained at 30 °C. Suddenly, hot gas with a temperature of 1000 °C enters the oven. The convection heat transfer coefficient at the insulation coating surface is 70 W/(m²-K). Insulation Coating Stainless Steel 304 Oven Gas Perfectly Insulated Wall X L 3-1) What is the overall heat transfer coefficient per unit area from the gas to the surface of the stainless steel? The answer should be given in the unit of W/(m²-K). 3-2) What is the value of the Biot number? 3-3) What is the time required for the inner surface of the stainless steel 304 to reach the temperature of 900 °C? The answer should be given in the unit of s. 3-4) What is the temperature of the exposed surface of the insulation coating at this time? The answer should be given in the unit of °C.
A plane wall of an oven with an insulation coating is attached to an insulated wall. The thermal conductivity and thickness of the insulation coating are 0.1 W/(mK) and 1 mm, respectively. The material of the plane wall is stainless steel 304. The density, thermal conductivity, and specific heat capacity of the stainless steel 304 are 7900 kg/m³, 74.9 W/(m-K), and 477 J/(kg-K), respectively. The wall thickness of the stainless steel 304 is 15 mm. The temperature of the plane wall with the insulated coating is initially maintained at 30 °C. Suddenly, hot gas with a temperature of 1000 °C enters the oven. The convection heat transfer coefficient at the insulation coating surface is 70 W/(m²-K). Insulation Coating Stainless Steel 304 Oven Gas Perfectly Insulated Wall X L 3-1) What is the overall heat transfer coefficient per unit area from the gas to the surface of the stainless steel? The answer should be given in the unit of W/(m²-K). 3-2) What is the value of the Biot number? 3-3) What is the time required for the inner surface of the stainless steel 304 to reach the temperature of 900 °C? The answer should be given in the unit of s. 3-4) What is the temperature of the exposed surface of the insulation coating at this time? The answer should be given in the unit of °C.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.40P: As a designer working for a major electric appliance manufacturer, you are required to estimate the...
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Transcribed Image Text:A plane wall of an oven with an insulation coating is attached to an insulated wall. The thermal
conductivity and thickness of the insulation coating are 0.1 W/(m K) and 1 mm, respectively.
The material of the plane wall is stainless steel 304. The density, thermal conductivity, and
specific heat capacity of the stainless steel 304 are 7900 kg/m³, 74.9 W/(mK), and 477 J/(kg-K),
respectively. The wall thickness of the stainless steel 304 is 15 mm. The temperature of the
plane wall with the insulated coating is initially maintained at 30 °C. Suddenly, hot gas with a
temperature of 1000 °C enters the oven. The convection heat transfer coefficient at the
insulation coating surface is 70 W/(m²-K).
Insulation Coating
Stainless Steel 304
Oven Gas
Perfectly Insulated Wall
1
X
L
3-1) What is the overall heat transfer coefficient per unit area from the gas to the surface of the
stainless steel? The answer should be given in the unit of W/(m²-K).
3-2) What is the value of the Biot number?
3-3) What is the time required for the inner surface of the stainless steel 304 to reach the
temperature of 900 °C? The answer should be given in the unit of s.
3-4) What is the temperature of the exposed surface of the insulation coating at this time? The
answer should be given in the unit of °C.
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