A Spherical Container Is Made Of Plastic (K=2 W/MK, Ρ=5000 Kg/M) And Has Inner And Outer Radii Of 10 Cm And 11 Cm, Respectively. Hot Oil (C=3000 J/KgK, Ρ=800 Kg/M3) At 80 0C Is Stored Within The Container And The Heat Transfer Coefficient Between The Oil And The Inner Surface Of The Container H=30W/M2K The Outer Surface Of The Container Is

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 Spherical Container Is Made Of Plastic (K=2 W/MK, Ρ=5000 Kg/M) And Has Inner And Outer Radii Of 10 Cm And 11 Cm, Respectively. Hot Oil (C=3000 J/KgK, Ρ=800 Kg/M3) At 80 0C Is Stored Within The Container And The Heat Transfer Coefficient Between The Oil And The Inner Surface Of The Container H=30W/M2K The Outer Surface Of The Container Is
This problem has been solved!

See the answer
A spherical container is made of plastic (k=2 W/mK, ρ=5000 kg/m) and has inner and outer radii of 10 cm and 11 cm, respectively. Hot oil (c=3000 J/kgK, ρ=800 kg/m3) at 80 0C is stored within the container and the heat transfer coefficient between the oil and the inner surface of the container h=30W/m2K

The outer surface of the container is perfectly insulated. Solve the differential equation under the boundary conditions for steady one dimensional heat conduction through the plastic material.

a)obtain an equation fort he variation of temperature within the plastic material?

b)

Calculate the temperature of the plastic material at the inner surface (0C) ?

c)

Calculate the temperature of the plastic material at the inner surface (0C) ?

Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Conduction
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