5. A large block of steel is placed inside of a furnace set at 1980°C. If it is assumed that the surface temperature of the steel instantly takes on the temperature of the furnace and remains constant, what is the time required for the steel to reach 1000°C at a depth of 10 cm? Given: Ksteel = 63.9W/m k, Csteel = 434 J/kg k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s (State all assumptions and Show All Work)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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I only need help with the assumptions ,don't need any work of how to solve. also could use help with how to draw the free body diagrams 

5. A large block of steel is placed inside of a furnace set at 1980°C. If it is assumed
that the surface temperature of the steel instantly takes on the temperature of the
furnace and remains constant, what is the time required for the steel to reach
1000°C at a depth of 10 cm? Given: Ksteel = 63.9W/m k, Csteel = 434 J/kg k,
Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s
(State all assumptions and Show All Work)
Transcribed Image Text:5. A large block of steel is placed inside of a furnace set at 1980°C. If it is assumed that the surface temperature of the steel instantly takes on the temperature of the furnace and remains constant, what is the time required for the steel to reach 1000°C at a depth of 10 cm? Given: Ksteel = 63.9W/m k, Csteel = 434 J/kg k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s (State all assumptions and Show All Work)
4. A self-supported steel plate of 8 cm thickness and an initial temperature of 20°C
passes through a convective oven at a temperature of 1980°C. What is the core
temperature of the plate after 2 minutes? Given: h= 500 w/mk, Ksteel = 63.9W/m
k, Csteel = 434 J/m k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s, Neglect
Radiation
(State all assumptions and Show All Work)
Transcribed Image Text:4. A self-supported steel plate of 8 cm thickness and an initial temperature of 20°C passes through a convective oven at a temperature of 1980°C. What is the core temperature of the plate after 2 minutes? Given: h= 500 w/mk, Ksteel = 63.9W/m k, Csteel = 434 J/m k, Psteel = 7832 kg/m³, Osteel = 18.8 x 10-6 m²/s, Neglect Radiation (State all assumptions and Show All Work)
Expert Solution
Step 1

Given problems are related to the transient heat conduction problems where temperature of body changes with time and location.

If biot number is less than 0.1, then we can assume that temperature of body at any location is uniform i.e. remains constant and changes with time only. But if biot number is greater than 0.1, then temperature changes with time and location both. In such cases, we use Heisler chart or one term solution approach.

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