A cylinder of radius R made of material of thermal conductivity K1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K2 . the 2 ends of the combined system are maintained at 2 different tamperatures . there is no loss of heat across the cylindrical surface and the system is in steady state. the effective thermal conductivity of the system is 1 \lbrack K1+K2\rbrack 2 \lbrack K1+3K2\rbrack/4 3 K1K2/ K1+K2 4 \lbrack3K1+K2\rbrack/4

Open in App

Solution

Suggest Corrections

Similar questions

Q. A cylinder of radius

R

made of a material of thermal conductivity

k_{1}

is surrounded by a cylindrical shell of inner radius

R

and outer radius

2 R

made of a material of thermal conductivity

k_{2}

. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is

A cylinder of radius R made of a material of thermal conductivity $K_{1}$ is surrounded by a cylindrical shell of inner radiusRand outer radius 2Rmade of material of thermal conductivity $K_{2}$ . The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is