Variation of Internal Temperature with external temperature in a sphere

AI Thread Summary
The discussion focuses on understanding how internal temperature varies with external temperature in a hollow sphere setup. A temperature sensor will be placed inside a hollow area, which is insulated with plaster of Paris, while a fire is set outside. The user seeks to plot the relationship between internal surface temperature (Ts,1) and external surface temperature (Ts,2) using MATLAB, acknowledging that heat transfer (Q) also varies. The solution involves applying the transient heat conduction equation to determine the internal temperature response to changes in external temperature. The conversation concludes with the user confirming they found the answer using the appropriate equations.
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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
 
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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...
 

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