Variation of Internal Temperature with external temperature in a sphere

Click For Summary
SUMMARY

The discussion focuses on modeling the variation of internal temperature in a hollow sphere as external temperature changes, specifically using MATLAB for simulation. The user intends to insulate the outer surface with Plaster of Paris and place a fire outside to observe temperature changes. The transient heat conduction equation is identified as the solution for determining the relationship between internal and external temperatures, denoted as Ts,2 and Ts,1, respectively.

PREREQUISITES
  • Understanding of transient heat conduction equations
  • Familiarity with MATLAB for plotting temperature data
  • Knowledge of thermal insulation materials, specifically Plaster of Paris
  • Basic principles of heat transfer in spherical geometries
NEXT STEPS
  • Study the derivation and application of transient heat conduction equations
  • Learn how to use MATLAB's plotting functions for temperature data visualization
  • Research the thermal properties of Plaster of Paris as an insulating material
  • Explore heat transfer principles in spherical coordinates for more complex scenarios
USEFUL FOR

Mechanical engineers, thermal analysts, and researchers interested in heat transfer dynamics, particularly those working with transient thermal analysis in spherical systems.

princesvpk
Messages
5
Reaction score
0
http://www.cdeep.iitb.ac.in/nptel/Mechanical/Heat%20and%20Mass%20Transfer/Conduction/Module%202/main/2.6.3.html"

Kindly see the above link

I will be placing a temperature sensor in the hollow area and insulate the outer surface(with let's say Plaster of paris)...I will place a fire outside...I need to know how the temperature varies inside...i.e Ts,2 Vs Ts,1...{in matlab}ill give Ts,2 as the input...i need to plot Ts,2 Vs Ts,1...but the problem is that Q also varies...so how do i find out the temperature variation inside as the external temperature increases...

Thank you for your time...kindly help
 
Last edited by a moderator:
Engineering news on Phys.org
So are you asking for an equation that will tell you the inside surface temperature based on what the outside temperature is at steady state?
 
Thank you for the time...i found out the answer with transient heat conduction equation...
 

Similar threads

Electric field external to Conducting Hollow Sphere with charge inside
  • · Replies 23 ·
Replies
23
Views
5K
Graduate Radiant heating of air trapped in hollow glass spheres....
  • · Replies 12 ·
Replies
12
Views
3K
High School Infrared Detectors & The 2nd Law of Thermodynamics
  • · Replies 152 ·
6
Replies
152
Views
12K
How Does a Hollow Conducting Sphere Affect Internal and External Charges?
  • · Replies 4 ·
Replies
4
Views
11K
Graduate What are Some Unresolved Questions in Electrostatics?
  • · Replies 9 ·
Replies
9
Views
6K
Extracting Useful Information from Impedances
  • · Replies 3 ·
Replies
3
Views
2K
Are These Conceptual MCQs Challenging Your Understanding of Physics?
  • · Replies 3 ·
Replies
3
Views
5K