A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m °C. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000 °C. The periphery of the prism is cooled by a slow air stream at T=30 °C with heat transfer coefficient h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).

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
A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel
with a thermal conductivity k=14.9W/m C. The prism is connected on the left-hand
side to a molten metal tank with temperature To=2000 °C. The periphery of the prism
is cooled by a slow air stream at T=30°C with heat transfer coefficient
h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature
distribution inside the prism T(x) and evaluate the temperature at the midpoint
(x=1m).
Transcribed Image Text:A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/m C. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000 °C. The periphery of the prism is cooled by a slow air stream at T=30°C with heat transfer coefficient h=10W/m² C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 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