Sponsor Area

Mechanical Properties Of Fluids

Question
CBSEENPH11019757

State laws of thermal conduction under steady state.

Solution

The laws of thermal conduction under steady state the rate of transfer of heat under steady state:

(i) is directly proportional to temperature difference (T2 – T2) across the ends of conductor,

(ii) is directly proportional to area of cross section A of the conductor and

(iii) is inversely proportional to the length £ of the conductor.

Combining all these laws, we get

space space space space space space dQ over dT proportional to fraction numerator open parentheses straight T subscript 1 minus straight T subscript 2 close parentheses straight A over denominator straight ell end fraction space

rightwards double arrow space dQ over dT equals straight K fraction numerator open parentheses straight T subscript 1 minus straight T subscript 2 close parentheses over denominator straight ell end fraction
where K is constant of proportionality and is called thermal conductivity of conductor.