Variation of Internal Temperature with external temperature in a sphere

[princesvpk]

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

 

[6Stang7]

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?

 

[princesvpk]

Thank you for the time...i found out the answer with transient heat conduction equation...