5) A stainless steel spherical container, with k=15 W/m.K is used for storing chemicals undergoing exothermic reaction. The reaction provides a uniform heat flux of 60 kW/m² to the container's inner surface. The container has an inner radius of 50 cm and a wall thickness of 5 cm and is situated in a surrounding with an ambient temperature of 23°C. The container's outer surface is subjected to convection heat transfer with a coefficient of 1000 W/m².K. For safety reasons to prevent thermal burn to individuals working around the container, it is necessary to keep the container's outer surface temperature below 50°C. Determine the variation of temperature in the container wall and the temperature of the inner and outer surfaces of the container. Is the outer surface temperature of the container safe to prevent thermal burn? Exothermic reaction Spherical container T(ri) T(12) -91 ri r2 r h, T∞ 8

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
5) A stainless steel spherical container, with k=15 W/m.K is used for storing chemicals
undergoing exothermic reaction. The reaction provides a uniform heat flux of 60 kW/m² to
the container's inner surface. The container has an inner radius of 50 cm and a wall
thickness of 5 cm and is situated in a surrounding with an ambient temperature of 23°C.
The container's outer surface is subjected to convection heat transfer with a coefficient of
1000 W/m².K. For safety reasons to prevent thermal burn to individuals working around
the container, it is necessary to keep the container's outer surface temperature below
50°C. Determine the variation of temperature in the container wall and the temperature of
the inner and outer surfaces of the container. Is the outer surface temperature of the
container safe to prevent thermal burn?
Transcribed Image Text:5) A stainless steel spherical container, with k=15 W/m.K is used for storing chemicals undergoing exothermic reaction. The reaction provides a uniform heat flux of 60 kW/m² to the container's inner surface. The container has an inner radius of 50 cm and a wall thickness of 5 cm and is situated in a surrounding with an ambient temperature of 23°C. The container's outer surface is subjected to convection heat transfer with a coefficient of 1000 W/m².K. For safety reasons to prevent thermal burn to individuals working around the container, it is necessary to keep the container's outer surface temperature below 50°C. Determine the variation of temperature in the container wall and the temperature of the inner and outer surfaces of the container. Is the outer surface temperature of the container safe to prevent thermal burn?
Exothermic
reaction
Spherical
container
T(ri)
T(12)
-91
ri
r2 r
h, T∞
8
Transcribed Image Text:Exothermic reaction Spherical container T(ri) T(12) -91 ri r2 r h, T∞ 8
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
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