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sana hasan Grade: 12
        

What do you mean by thermal conductivity?

8 years ago

Answers : (1)

shashank Saxena
13 Points
										

Thermal conductivity



In solids, heat is transferred through conduction. We will study conduction of heat through a solid bar in the following sector.




 



Consider a solid bar of thickness d and area of cross-section A. The left side of bar is maintained at QA temperature and right side at QB



Let us suppose QAQB



Heat flows from higher temperature to lower temperature after some time, the temp of each section becomes constant with time. This is known as steady state.

In steady state, if  Q Amount of heat crosses through any cross section in time  T, then


   and   




or, 


K: coefficient of thermal conductivity.



For a small thickness Dx along the direction of heat and whose thickness dx is small and temperature difference is ?Q




 

[Secondary information]

Quantity  dq/dV  called the temperature gradient and minus sign indicates that dq/dV is negative along the direction of heat flow.



[Secondary Information]




We can compose the equation with the Ohm's Law

V1 - V2 = I.R


I = 



Similarly   


hence X / KA   is called thermal resistance rth.




Rth = X / KA

8 years ago
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