A long iron rod (p = 7870 kg/m³, cp = 447 J/kg∙K, k = 80.2 W/m-K, and a = 23.1 × 10- m/s) with diameter of 25 mm is initially heated to a uniform temperature of 700°C. The iron rod is then quenched in a large water bath that is maintained at constant temperature of 50°C and convection heat transfer coefficient of 128 W/m²K. Determine the time required for the iron rod surface temperature to cool to 207°C. Solve this problem using analytical one-term approximation method. Water, 50°C h = 128 W/m²K Iron rod The time required for the iron rod surface temperature to cool to 207°C is | seconds.

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

Parvinbhai 

A long iron rod (p = 7870 kg/m³, cp=447 J/kg-K, k = 80.2 W/mK, and a = 23.1 x 10-6 m²/s) with diameter of 25 mm is initially heated to
a uniform temperature of 700°C. The iron rod is then quenched in a large water bath that is maintained at constant temperature of
50°C and convection heat transfer coefficient of 128 W/m2K. Determine the time required for the iron rod surface temperature to cool
to 207°C. Solve this problem using analytical one-term approximation method.
Water, 50°C
h = 128 W/m²K
The time required for the iron rod surface temperature to cool to 207°C is
Iron rod
seconds.
Transcribed Image Text:A long iron rod (p = 7870 kg/m³, cp=447 J/kg-K, k = 80.2 W/mK, and a = 23.1 x 10-6 m²/s) with diameter of 25 mm is initially heated to a uniform temperature of 700°C. The iron rod is then quenched in a large water bath that is maintained at constant temperature of 50°C and convection heat transfer coefficient of 128 W/m2K. Determine the time required for the iron rod surface temperature to cool to 207°C. Solve this problem using analytical one-term approximation method. Water, 50°C h = 128 W/m²K The time required for the iron rod surface temperature to cool to 207°C is Iron rod seconds.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 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.
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