The problem involves a large 100-mm thick steel plate initially at a uniform temperature of $ T_i = 180^\circ C $ at time $ t = 0 $. Both sides of the plate are exposed to oil at $ 30^\circ C $, with a convection coefficient of $ h = 1500 \, \text{W/m}^2 \cdot \text{K} $. The thermal properties of the steel include:- Thermal conductivity, $ k = 38 \, \text{W/m} \cdot \text{K} $- Heat capacity, $ c_p = 485 \, \text{J/kg} \cdot \text{K} $- Density, $ \rho = 7800 \, \text{kg/m}^3 $The task is to determine:a) The temperature at the center of the slab at $ t = 125 \, \text{s} $.b) The temperature at the surface of the slab at $ t = 125 \, \text{s} $.

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A large 100-mm thick steel plate is initially at uniform temperature T = 180°C at time t = 0. Both sides of the plate are exposed to 30°C oil with convection coefficient h = 1500 W/m².K. The thermal conductivity, heat capacity, and density of the steel are k = 38 W/m-K, cp = 485 J/kg-K, and p = 7800 kg/m³. a) Find the temperature at the center of the slab when t = 125 s. b) Find the temperature at the surface of the slab when t=125 s.

A large 100-mm thick steel plate is initially at uniform temperature T = 180°C at time t = 0. Both sides of the plate are exposed to 30°C oil with convection coefficient h = 1500 W/m².K. The thermal conductivity, heat capacity, and density of the steel are k = 38 W/m-K, cp = 485 J/kg-K, and p = 7800 kg/m³. a) Find the temperature at the center of the slab when t = 125 s. b) Find the temperature at the surface of the slab when t=125 s.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

The problem involves a large 100-mm thick steel plate initially at a uniform temperature of $ T_i = 180^\circ C $ at time $ t = 0 $. Both sides of the plate are exposed to oil at $ 30^\circ C $, with a convection coefficient of $ h = 1500 \, \text{W/m}^2 \cdot \text{K} $. The thermal properties of the steel include:

- Thermal conductivity, $ k = 38 \, \text{W/m} \cdot \text{K} $
- Heat capacity, $ c_p = 485 \, \text{J/kg} \cdot \text{K} $
- Density, $ \rho = 7800 \, \text{kg/m}^3 $

The task is to determine:

a) The temperature at the center of the slab at $ t = 125 \, \text{s} $.

b) The temperature at the surface of the slab at $ t = 125 \, \text{s} $.

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