Consider a 10m deep wall with a cross section as shown below. If the temperature on the left side of the wall is 100oC and the temperature on the right side is 30oC, determine: Total thermal resistance of the wall Heat transfer rate through the wall (as a vector) The convective heat transfer coefficient (h) of the air on the left side of the wall if ambient temperature is 120oC

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider a 10m deep wall with a cross section as shown below. If the temperature on the left side of the wall is 100oC and the temperature on the right side is 30oC, determine:

  1. Total thermal resistance of the wall
  2. Heat transfer rate through the wall (as a vector)
  3. The convective heat transfer coefficient (h) of the air on the left side of the wall if ambient temperature is 120oC
This diagram depicts a rectangular structure divided into four sections, each representing a different material with specific thermal conductivity properties. The structure is made up of two columns, each 2.5 meters in height, and has variable widths; the left column is 1 meter wide, and the right column is 2 meters wide. The total height of the structure is 5 meters. 

**Sections:**

1. **Top Right Section (1):** 
   - Material: Foam
   - Dimensions: 2m (height) x 2m (width)
   - Thermal Conductivity (k): 0.05 W/mK

2. **Top Left Section (2):** 
   - Material: Brick
   - Dimensions: 2.5m (height) x 1m (width)
   - Thermal Conductivity (k): 9.3 W/mK

3. **Bottom Left Section (3):** 
   - Material: Concrete
   - Dimensions: 2.5m (height) x 1m (width)
   - Thermal Conductivity (k): 5.34 W/mK

4. **Bottom Right Section (4):** 
   - Material: 90-10 Bronze
   - Dimensions: 2m (height) x 2m (width)
   - Thermal Conductivity (k): 24.4 W/mK

**Analysis:**

The materials used in this structure vary significantly in thermal conductivity, illustrating how different materials can affect heat transfer. Foam, with the lowest conductivity, is a good insulator, while 90-10 Bronze, with the highest, conducts heat well. The diagram helps compare and analyze the efficiency of different materials for specific purposes, useful in fields like construction and materials science.
Transcribed Image Text:This diagram depicts a rectangular structure divided into four sections, each representing a different material with specific thermal conductivity properties. The structure is made up of two columns, each 2.5 meters in height, and has variable widths; the left column is 1 meter wide, and the right column is 2 meters wide. The total height of the structure is 5 meters. **Sections:** 1. **Top Right Section (1):** - Material: Foam - Dimensions: 2m (height) x 2m (width) - Thermal Conductivity (k): 0.05 W/mK 2. **Top Left Section (2):** - Material: Brick - Dimensions: 2.5m (height) x 1m (width) - Thermal Conductivity (k): 9.3 W/mK 3. **Bottom Left Section (3):** - Material: Concrete - Dimensions: 2.5m (height) x 1m (width) - Thermal Conductivity (k): 5.34 W/mK 4. **Bottom Right Section (4):** - Material: 90-10 Bronze - Dimensions: 2m (height) x 2m (width) - Thermal Conductivity (k): 24.4 W/mK **Analysis:** The materials used in this structure vary significantly in thermal conductivity, illustrating how different materials can affect heat transfer. Foam, with the lowest conductivity, is a good insulator, while 90-10 Bronze, with the highest, conducts heat well. The diagram helps compare and analyze the efficiency of different materials for specific purposes, useful in fields like construction and materials science.
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