A long cylinder of 30-mm diameter, initially at a uniform temperature of 1100 K, is suddenly quenched in a large, constant- temperature oil bath at 350 K. The cylinder properties are k = 1.7 W/m-K, c = 1600 J/kg-K, and p = 400 kg/m³, while the convection coefficient is 54 W/m².K.

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

 Assume the Fourier number, Fo, is greater than or equal to 0.2 (note that you still need to calculate the Biot number, and possibly a second Biot number).

A long cylinder of 30-mm diameter, initially at a uniform temperature of 1100 K, is suddenly quenched in a large, constant-
temperature oil bath at 350 K. The cylinder properties are k = 1.7 W/m-K, c = 1600 J/kg-K, and p = 400 kg/m³, while the
convection coefficient is 54 W/m².K.
Transcribed Image Text:A long cylinder of 30-mm diameter, initially at a uniform temperature of 1100 K, is suddenly quenched in a large, constant- temperature oil bath at 350 K. The cylinder properties are k = 1.7 W/m-K, c = 1600 J/kg-K, and p = 400 kg/m³, while the convection coefficient is 54 W/m².K.
Step 3
Using the one-term approximation, if Bi in Table 5.1 were equal to 1.0, what would be the value of C1 for this problem?
C₁ = i
Save for Later
Using multiple attempts will impact your score.
100% score reduction after attempt 6
Step 4
Fo=
Use the one-term approximation method to solve for the Fourier number for reaching the surface temperature of 500 K.
Save for Later
Using multiple attempts will impact your score.
100% score reduction after attempt 6
Step 5
Solve for the time required for the surface of the cylinder to reach 500 K, in sec.
t =
i
Attempts: 0 of 7 used
sec
Submit Answer
Attempts: 0 of 7 used Submit Answer
Transcribed Image Text:Step 3 Using the one-term approximation, if Bi in Table 5.1 were equal to 1.0, what would be the value of C1 for this problem? C₁ = i Save for Later Using multiple attempts will impact your score. 100% score reduction after attempt 6 Step 4 Fo= Use the one-term approximation method to solve for the Fourier number for reaching the surface temperature of 500 K. Save for Later Using multiple attempts will impact your score. 100% score reduction after attempt 6 Step 5 Solve for the time required for the surface of the cylinder to reach 500 K, in sec. t = i Attempts: 0 of 7 used sec Submit Answer Attempts: 0 of 7 used Submit Answer
Expert Solution
steps

Step by step

Solved in 4 steps

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.
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