4. Two aluminum blocks with different dimensions, but the same mass are shown in the figure. The dimensions of block 1 are 0.25 cm in thickness, 3 cm in width, and 36 cm in length. The dimensions of block 2 are 3 cm for each side of the cube. Aluminum has a density of 2700 kg/m³ and a specific heat capacity of 900 J/kg-°C. The value of the heat transfer coefficient to the surrounding air is 10 W/m²-°C. 0.25 cm 36 cm 3 cm 3 cm Block 1 3 cm Block 2 3 cm Complete the following. (a) Calculate thermal time constant (in min) for both blocks. (b) Each block is heated to an initial temperature 120 °C and then allowed to cool in the surrounding air which is at 20 °C. Write a script file in MATLAB® that plots the temperature as a function of time, T(t), for both blocks on the same graph. Plot the temperature of block 1 using a solid black line and the temperature of block 2 using a dotted black line. Plot for a duration equal to four of the longer time constant between blocks 1 and 2. The time axis should be in units of minutes.

4. Two aluminum blocks with different dimensions, but the same mass are shown in the figure. The dimensions of block 1 are 0.25 cm in thickness, 3 cm in width, and 36 cm in length. The dimensions of block 2 are 3 cm for each side of the cube. Aluminum has a density of 2700 kg/m³ and a specific heat capacity of 900 J/kg-°C. The value of the heat transfer coefficient to the surrounding air is 10 W/m²-°C. 0.25 cm 36 cm 3 cm 3 cm Block 1 3 cm Block 2 3 cm Complete the following. (a) Calculate thermal time constant (in min) for both blocks. (b) Each block is heated to an initial temperature 120 °C and then allowed to cool in the surrounding air which is at 20 °C. Write a script file in MATLAB® that plots the temperature as a function of time, T(t), for both blocks on the same graph. Plot the temperature of block 1 using a solid black line and the temperature of block 2 using a dotted black line. Plot for a duration equal to four of the longer time constant between blocks 1 and 2. The time axis should be in units of minutes.

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

4. Two aluminum blocks with different dimensions, but the same mass are shown in the
figure. The dimensions of block 1 are 0.25 cm in thickness, 3 cm in width, and 36 cm in
length. The dimensions of block 2 are 3 cm for each side of the cube. Aluminum has a
density of 2700 kg/m³ and a specific heat capacity of 900 J/kg-°C. The value of the heat
transfer coefficient to the surrounding air is 10 W/m²-°C.
0.25 cm
36 cm
3 cm
3 cm
Block 1
3 cm
Block 2
3 cm
Complete the following.
(a) Calculate thermal time constant (in min) for both blocks.
(b) Each block is heated to an initial temperature 120 °C and then allowed to cool in
the surrounding air which is at 20 °C. Write a script file in MATLAB® that plots the
temperature as a function of time, T(t), for both blocks on the same graph. Plot the
temperature of block 1 using a solid black line and the temperature of block 2 using
a dotted black line. Plot for a duration equal to four of the longer time constant
between blocks 1 and 2. The time axis should be in units of minutes.

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