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Cold water is flowing though the center of a commercial bronze pipe with a diameter of 200mm, a wall thickness of 5mm and a length of 2m. The pipe is covered with a 50mm thick layer of insulation. The water is at a temperature of 7 C and the air surrounding the pipe is at 122 C. Some transport properties are shown in the table below. 1. Sketch the equivalent thermal circuit diagram for the presented case. Include the appropriate equation for each of the resistances. 2. What is the heat transfer rate and the heat flux at the outer surface of the insulation? 3. What is the temperature of the outer surface of the insulation? L Pipe inner diameter: 200mm Pipe wall thickness: 5mm Insulation thickness: 50mm Insulation Pipe Length: 2m To water hwater T., water: 7°C T air: 122°C hwater: 200 W/m²/K hair: 75 W/m?/K Karonze: 48.88 W/m/K kinsulation: 3.88 W/m/K Te air hair

Cold water is flowing though the center of a commercial bronze pipe with a diameter of 200mm, a wall thickness of 5mm and a length of 2m. The pipe is covered with a 50mm thick layer of insulation. The water is at a temperature of 7 C and the air surrounding the pipe is at 122 C. Some transport properties are shown in the table below. 1. Sketch the equivalent thermal circuit diagram for the presented case. Include the appropriate equation for each of the resistances. 2. What is the heat transfer rate and the heat flux at the outer surface of the insulation? 3. What is the temperature of the outer surface of the insulation? L Pipe inner diameter: 200mm Pipe wall thickness: 5mm Insulation thickness: 50mm Insulation Pipe Length: 2m To water hwater T., water: 7°C T air: 122°C hwater: 200 W/m²/K hair: 75 W/m?/K Karonze: 48.88 W/m/K kinsulation: 3.88 W/m/K Te air hair

Elements Of Electromagnetics
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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**Educational Content: Heat Transfer in Insulated Pipes** **Description:** Cold water flows through a commercial bronze pipe with the following specifications: - Inner diameter: 200 mm - Wall thickness: 5 mm - Length: 2 m - Insulation thickness: 50 mm The water temperature is 7°C, and the surrounding air is at 122°C. **Transport Properties:** - Convection coefficient (water), \( h_{\text{water}} \): 200 W/m²K - Convection coefficient (air), \( h_{\text{air}} \): 75 W/m²K - Thermal conductivity of bronze, \( k_{\text{bronze}} \): 48.88 W/mK - Thermal conductivity of insulation, \( k_{\text{insulation}} \): 3.88 W/mK ### Tasks: 1. **Thermal Circuit Diagram:** - Sketch an equivalent thermal circuit diagram representing the heat transfer through the pipe setup. Show each thermal resistance: convection from water to pipe, conduction through the pipe wall, conduction through the insulation, and convection from insulation to air. 2. **Heat Transfer Rate and Heat Flux:** - Calculate the heat transfer rate and surface heat flux at the outer surface of the insulation using the provided properties. 3. **Outer Surface Temperature:** - Determine the temperature at the outer surface of the insulation. ### Diagram Explanation: The provided diagram is a cross-sectional view of an insulated pipe system. It shows: - A central pipe carrying water at 7°C. - A surrounding layer of insulation. - The air around the insulation at 122°C. - Important parameters and properties listed for analyzing the thermal resistances and calculating heat transfer.
Transcribed Image Text:**Educational Content: Heat Transfer in Insulated Pipes** **Description:** Cold water flows through a commercial bronze pipe with the following specifications: - Inner diameter: 200 mm - Wall thickness: 5 mm - Length: 2 m - Insulation thickness: 50 mm The water temperature is 7°C, and the surrounding air is at 122°C. **Transport Properties:** - Convection coefficient (water), \( h_{\text{water}} \): 200 W/m²K - Convection coefficient (air), \( h_{\text{air}} \): 75 W/m²K - Thermal conductivity of bronze, \( k_{\text{bronze}} \): 48.88 W/mK - Thermal conductivity of insulation, \( k_{\text{insulation}} \): 3.88 W/mK ### Tasks: 1. **Thermal Circuit Diagram:** - Sketch an equivalent thermal circuit diagram representing the heat transfer through the pipe setup. Show each thermal resistance: convection from water to pipe, conduction through the pipe wall, conduction through the insulation, and convection from insulation to air. 2. **Heat Transfer Rate and Heat Flux:** - Calculate the heat transfer rate and surface heat flux at the outer surface of the insulation using the provided properties. 3. **Outer Surface Temperature:** - Determine the temperature at the outer surface of the insulation. ### Diagram Explanation: The provided diagram is a cross-sectional view of an insulated pipe system. It shows: - A central pipe carrying water at 7°C. - A surrounding layer of insulation. - The air around the insulation at 122°C. - Important parameters and properties listed for analyzing the thermal resistances and calculating heat transfer.
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