Questions
A cylinder of radius r and thermal conductivity is surrounded by a cylinder shell of internal radius r and outer radius 3r whose thermal conductivity is . There is no loss of heat from the surface of the cylinder when the ends of the combined system are maintained at temperatures and . The effective thermal conductivity of the system under steady state is
detailed solution
Correct option is C
the cylinders are In parallel KParallel=K1A1+K2A2A1+A2---(1), here K is coefficient of thermal conductivity, A is area of cross section area of cross section inner cylinder is A1=πr2, here r = radius area of cross section outer cylinder is A2=9πr2-πr2 A2=8πr2 substitute given values in eqn(1) KP=K1πr2+K2.8πr2πr2+8πr2 KParallel=K1+8K29Similar Questions
Two rods of length and and coefficients of thermal conductivities and are kept touching each other. Both have the same area of cross-section. The equivalent of thermal conductivity is
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