Question

Calculate the critical radius of insulation of hollow cylinder rod with radius 1cm and thermal conductivity k=2

Answer 1

Explanation:

For a cylindrical layer, it is defined as hk rcr. / where k is the thermal conductivity of insulation and h is the external convection heat transfer coefficient.

Answer 2

Given that,

Radius of hollow cylinder, r = 1 cm

Thermal conductivity, k = 2 W/m K

Let the thermal conductivity of insulation is 0.055 W/m K

Outer surface convection coefficient is, h = 5 W/m² K

To find,

The critical radius of insulation of hollow cylinder rod

Solution,

The critical radius of insulation for cylinder is given by :

$R=\dfrac{k}{h}$

k is thermal conductivity of insulation

$R=\dfrac{0.055 }{5}\\\\R=0.011\ m$

So, the critical radius of insulation of hollow cylinder rod is 0.011 meters.

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Critical radius of insulation

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