A 30 cm concrete wall shown in FIGURE A2 has been descritized into 4 nodes. At the left side of the concrete wall, the ambient temperature is 40 °C and the surface convection heat transfer coefficient is 10 W/m² °C. The thermal conductivity of the concrete, k = 1 W/m•C, respectively. The right side of the concrete wall is subjected to a constant temperature of 200 C. Note: Any tools such as a programmable calculator or a computer can be used to perform this task to obtain the results. Hint: Use a pseudo 1-D approach by using a 2-D grid and 2-D finite-difference boundary formulations and forcing the calculation to behave as a 1-D solution. 0.3 m h = 10 W/m? °C T= 40 °C T3= 200 °C FIGURE A2

A 30 cm concrete wall shown in FIGURE A2 has been descritized into 4 nodes. At the left side of the concrete wall, the ambient temperature is 40 °C and the surface convection heat transfer coefficient is 10 W/m² °C. The thermal conductivity of the concrete, k = 1 W/m•C, respectively. The right side of the concrete wall is subjected to a constant temperature of 200 C. Note: Any tools such as a programmable calculator or a computer can be used to perform this task to obtain the results. Hint: Use a pseudo 1-D approach by using a 2-D grid and 2-D finite-difference boundary formulations and forcing the calculation to behave as a 1-D solution. 0.3 m h = 10 W/m? °C T= 40 °C T3= 200 °C FIGURE A2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

A 30 cm concrete wall shown in FIGURE A2 has been descritized into 4 nodes. At
the left side of the concrete wall, the ambient temperature is 40 °C and the surface
convection heat transfer coefficient is 10 W/m? C. The thermal conductivity of the
concrete, k = 1 W/m•C, respectively. The right side of the concrete wall is subjected
to a constant temperature of 200 °C. Note: Any tools such as a programmable
calculator or a computer can be used to perform this task to obtain the results. Hint:
Use a pseudo 1-D approach by using a 2-D grid and 2-D finite-difference boundary
formulations and forcing the calculation to behave as a 1-D solution.
0.3 m
h = 10 W/m? C
T= 40 °C
T3= 200 °C
FIGURE A2
a.
Using the finite-difference approach, develop the finite-difference
equations for node 0.
b. Determine the steady-state temperature of nodes 0, 1 and 2 by
performing 100 iterations.
c. IF the left side of the concrete wall is fully insulated, determine the steady-
state temperature of nodes 0, 1 and 2. Explain the results.

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