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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)

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)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem 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:** - Convective heat transfer coefficient, \( h = 500 \, \text{W/m}^2\text{K} \) - Thermal conductivity of steel, \( K_{\text{steel}} = 63.9 \, \text{W/m K} \) - Specific heat capacity of steel, \( C_{\text{steel}} = 434 \, \text{J/m K} \) - Density of steel, \( \rho_{\text{steel}} = 7832 \, \text{kg/m}^3 \) - Thermal diffusivity of steel, \( \alpha_{\text{steel}} = 18.8 \times 10^{-6} \, \text{m}^2/\text{s} \) **Considerations:** - Neglect radiation effects. **Instructions:** - State all assumptions clearly. - Show all calculations and steps for clarity.
Transcribed Image Text:**Problem 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:** - Convective heat transfer coefficient, \( h = 500 \, \text{W/m}^2\text{K} \) - Thermal conductivity of steel, \( K_{\text{steel}} = 63.9 \, \text{W/m K} \) - Specific heat capacity of steel, \( C_{\text{steel}} = 434 \, \text{J/m K} \) - Density of steel, \( \rho_{\text{steel}} = 7832 \, \text{kg/m}^3 \) - Thermal diffusivity of steel, \( \alpha_{\text{steel}} = 18.8 \times 10^{-6} \, \text{m}^2/\text{s} \) **Considerations:** - Neglect radiation effects. **Instructions:** - State all assumptions clearly. - Show all calculations and steps for clarity.
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