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Dry, compressed air at Tmi = 75°C. p = 10 atm, with a mass flow rate of m = 0.003 kg/s, enters a 32-mm-diameter, 5 whose surface is at T, = 25°C. Determine the thermal entry length, in m, the mean temperature of the air at the tube o rate of heat transfer from the air to the tube wall, in W, and the power required to flow the air through the tube, in W. Fo conditions the fully developed heat transfer coefficient is h = 3.58 W/m²-K. Evaluate the properties of air at 320 K

Dry, compressed air at Tmi = 75°C. p = 10 atm, with a mass flow rate of m = 0.003 kg/s, enters a 32-mm-diameter, 5 whose surface is at T, = 25°C. Determine the thermal entry length, in m, the mean temperature of the air at the tube o rate of heat transfer from the air to the tube wall, in W, and the power required to flow the air through the tube, in W. Fo conditions the fully developed heat transfer coefficient is h = 3.58 W/m²-K. Evaluate the properties of air at 320 K

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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**Problem Statement:** Dry, compressed air at an initial mean temperature (\(T_{m,i}\)) of 75°C and a pressure (\(p\)) of 10 atm, with a mass flow rate (\(\dot{m}\)) of 0.003 kg/s, enters a tube with a diameter of 32 mm and a length of 5 m. The tube's surface temperature (\(T_s\)) is maintained at 25°C. Determine the following: 1. The thermal entry length (\(x_{t,d}\)) in meters (m). 2. The mean temperature of the air at the tube outlet (\(\overline{T}_{m,o}\)) in Kelvin (K). 3. The rate of heat transfer (\(P\)) from the air to the tube wall in watts (W). 4. The power required to flow the air through the tube (\(q\)) in watts (W). Given, for these conditions, the fully developed heat transfer coefficient (\(h\)) is 3.58 W/m²-K. Evaluate the properties of air at 320 K. **Inputs:** - \(\dot{m} = 0.003 \, \text{kg/s}\) - Tube diameter = 32 mm - Tube length = 5 m - \(T_{m,i} = 75\degree\text{C}\) - \(T_s = 25\degree\text{C}\) - \(p = 10 \, \text{atm}\) - \(h = 3.58 \, \text{W/m}^2\)-K **Required Calculations:** 1. \(x_{t,d} =\) __ m 2. \(\overline{T}_{m,o} =\) __ K 3. \(P =\) __ W 4. \(q =\) __ W **Note:** Use the given heat transfer coefficient and evaluate the properties of air at a temperature of 320 K for necessary calculations.
Transcribed Image Text:**Problem Statement:** Dry, compressed air at an initial mean temperature (\(T_{m,i}\)) of 75°C and a pressure (\(p\)) of 10 atm, with a mass flow rate (\(\dot{m}\)) of 0.003 kg/s, enters a tube with a diameter of 32 mm and a length of 5 m. The tube's surface temperature (\(T_s\)) is maintained at 25°C. Determine the following: 1. The thermal entry length (\(x_{t,d}\)) in meters (m). 2. The mean temperature of the air at the tube outlet (\(\overline{T}_{m,o}\)) in Kelvin (K). 3. The rate of heat transfer (\(P\)) from the air to the tube wall in watts (W). 4. The power required to flow the air through the tube (\(q\)) in watts (W). Given, for these conditions, the fully developed heat transfer coefficient (\(h\)) is 3.58 W/m²-K. Evaluate the properties of air at 320 K. **Inputs:** - \(\dot{m} = 0.003 \, \text{kg/s}\) - Tube diameter = 32 mm - Tube length = 5 m - \(T_{m,i} = 75\degree\text{C}\) - \(T_s = 25\degree\text{C}\) - \(p = 10 \, \text{atm}\) - \(h = 3.58 \, \text{W/m}^2\)-K **Required Calculations:** 1. \(x_{t,d} =\) __ m 2. \(\overline{T}_{m,o} =\) __ K 3. \(P =\) __ W 4. \(q =\) __ W **Note:** Use the given heat transfer coefficient and evaluate the properties of air at a temperature of 320 K for necessary calculations.
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