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What is the rate of heat transfer between hot oil and outside air?

What is the rate of heat transfer between hot oil and outside air?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.8P
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Only answer the following question using thermal circuit: What is the rate of heat transfer between hot oil and outside air?

Let's consider a system where cold water is being transported via an aluminum pipe as shown in the figure. The aluminum pipe is concentrically placed inside a steel pipe that carries hot oil. The steel pipe is insulated by insulated foam and the entire setup is open to the atmosphere. This setup is shown in the figure. Let's To say that the average temperatures of the hot oil, cold water, and air can be assumed to be 50°C, 0°C, and 20°C. Consider that the convection coefficient of water in the pipe is hw 125 W/m².K, the convection coefficient between hot oil and the surface at r2 as well as between hot oil and the surface at r3 is ho = 160 W/m².K. Convection coefficient of air outside is ho = 10 W/m².K. Thermal conductivities of aluminum, stell, and insulating foam are, respectively, 240 W/m-K, 18 W/m.K, 0.08 W/m.K. The radii are, r₁=5 cm, r₂=5.1 cm, r3=12 cm, r4=15 cm, r5=20 cm. Draw the thermal circuit for heat transfer among the hot oil, cold water, and air. The length of the pipe system is 1 m. What is the rate of heat transfer between hot oil and cold water? What is the rate of heat transfer between hot oil and outside air? = hee T4 h Hot oil را hw Cold water Aluminum Steel Insulating foam [Hint: (1) Look carefully at the temperatures and think about how to interpret the direction of heat transfers in this problem. (2) Think carefully about what is the heat transfers associated with hot oil and then the resistances associated with the convection of hot oil and appropriate surfaces.]
Transcribed Image Text:Let's consider a system where cold water is being transported via an aluminum pipe as shown in the figure. The aluminum pipe is concentrically placed inside a steel pipe that carries hot oil. The steel pipe is insulated by insulated foam and the entire setup is open to the atmosphere. This setup is shown in the figure. Let's To say that the average temperatures of the hot oil, cold water, and air can be assumed to be 50°C, 0°C, and 20°C. Consider that the convection coefficient of water in the pipe is hw 125 W/m².K, the convection coefficient between hot oil and the surface at r2 as well as between hot oil and the surface at r3 is ho = 160 W/m².K. Convection coefficient of air outside is ho = 10 W/m².K. Thermal conductivities of aluminum, stell, and insulating foam are, respectively, 240 W/m-K, 18 W/m.K, 0.08 W/m.K. The radii are, r₁=5 cm, r₂=5.1 cm, r3=12 cm, r4=15 cm, r5=20 cm. Draw the thermal circuit for heat transfer among the hot oil, cold water, and air. The length of the pipe system is 1 m. What is the rate of heat transfer between hot oil and cold water? What is the rate of heat transfer between hot oil and outside air? = hee T4 h Hot oil را hw Cold water Aluminum Steel Insulating foam [Hint: (1) Look carefully at the temperatures and think about how to interpret the direction of heat transfers in this problem. (2) Think carefully about what is the heat transfers associated with hot oil and then the resistances associated with the convection of hot oil and appropriate surfaces.]
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