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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