An aluminium tube carrying a hot liquid at 118°C has 12 integrally machined longitudinal fins on its outer surface. The tube's inner and outer radii are 12 and 20 mm, and its total length is 281 mm, while the fins' height is 18 mm and their thickness is 2.2 mm. Air at 25°C flows over the fin surface, providing an approximately uniform convection heat transfer coefficient of 35 W/m2°C, and the heat transfer coefficient of the hot liquid inside the tube is 51 W/m2°C. The thermal conductivity of aluminium is 204 W/m °C. (a) State the assumptions and draw a clear sketch showing the geometry, boundary conditions and equivalent thermal circuit. Demonstrate how these assumptions could be used in solution of the problem. (b) Calculate the thermal resistance of the entire fin system. (c) Calculate the fin's heat transfer rate.

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
icon
Related questions
Question
I need help on 2c
Question 2
An aluminium tube carrying a hot liquid at 118°C has 12 integrally machined longitudinal
fins on its outer surface. The tube's inner and outer radii are 12 and 20 mm, and its total
length is 281 mm, while the fins' height is 18 mm and their thickness is 2.2 mm. Air at
25°C flows over the fin surface, providing an approximately uniform convection heat
transfer coefficient of 35 W/m2°C, and the heat transfer coefficient of the hot liquid
inside the tube is 51 W/m2°C. The thermal conductivity of aluminium 204 W/m °C.
(a) State the assumptions and draw a clear sketch showing the geometry,
boundary conditions and equivalent thermal circuit. Demonstrate how these
assumptions could be used in solution of the problem.
(b) Calculate the thermal resistance of the entire fin system.
(c) Calculate the fin's heat transfer rate.
All equations should be briefly discussed, and all symbols should be clearly explained.
Transcribed Image Text:Question 2 An aluminium tube carrying a hot liquid at 118°C has 12 integrally machined longitudinal fins on its outer surface. The tube's inner and outer radii are 12 and 20 mm, and its total length is 281 mm, while the fins' height is 18 mm and their thickness is 2.2 mm. Air at 25°C flows over the fin surface, providing an approximately uniform convection heat transfer coefficient of 35 W/m2°C, and the heat transfer coefficient of the hot liquid inside the tube is 51 W/m2°C. The thermal conductivity of aluminium 204 W/m °C. (a) State the assumptions and draw a clear sketch showing the geometry, boundary conditions and equivalent thermal circuit. Demonstrate how these assumptions could be used in solution of the problem. (b) Calculate the thermal resistance of the entire fin system. (c) Calculate the fin's heat transfer rate. All equations should be briefly discussed, and all symbols should be clearly explained.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Convection
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY