Steel balls 10 mm in diameter are annealed by heating to 1,150 K and then slowly cooling to 450 K in an air environment for which T∞ = 325 K + at, where a = 0.1875 K/s and h = 25 W/m2 · K. Assuming the properties of the steel to be k = 40 W/m · K, ρ = 7,800 kg/m3, and c = 600 J/kg · K, estimate the time required for the cooling process.
Steel balls 10 mm in diameter are annealed by heating to 1,150 K and then slowly cooling to 450 K in an air environment for which T∞ = 325 K + at, where a = 0.1875 K/s and h = 25 W/m2 · K. Assuming the properties of the steel to be k = 40 W/m · K, ρ = 7,800 kg/m3, and c = 600 J/kg · K, estimate the time required for the cooling process.
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
Related questions
Question
Problem: Conduction related
Steel balls 10 mm in diameter are annealed by heating to 1,150 K and then slowly cooling to 450 K in an air environment for which T∞ = 325 K + at, where a = 0.1875 K/s and h = 25 W/m2 · K. Assuming the properties of the steel to be k = 40 W/m · K, ρ = 7,800 kg/m3, and c = 600 J/kg · K, estimate the time required for the cooling process.
Find an expression for the ball temperature as a function of time T(t), and plot the ball temperature for 0 ≤ t ≤ 1 h and ambient temperature.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
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
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY