Chapter:

Steady-State-Conduction

1. A composite wall is made of two layers of thickness δ1 and δ2 having rmal conductivities k and 2k and equal surface area normal to direction of heat flow. The outer surface of composite wall are at 100 degree Celsius and 200 degree Celsius. The minimum surface temperature at junction is 150 degree Celsius. What will be ratio of wall thickness?


2. A spherical vessel of 0.5 m outside diameter is insulated with 0.2 m thickness of insulation of rmal conductivity 0.04 W/m degree. The surface temperature of vessel is – 195 degree Celsius and outside air is at 10 degree Celsius. Determine heat flow per m2 based on inside area


3. A cylinder of radius r and made of material of rmal conductivity k 1 is surrounded by a cylindrical shell of inner radius r and outer radius 2r. This outer shell is made of a material of rmal conductivity k 2. Net conductivity would be


4. A composite slab has two layers having rmal conductivities in ratio of 1:2. If thickness is same for each layer n equivalent rmal conductivity of slab would be


5. In case of homogeneous plane wall, re is a linear temperature distribution given by


6. For steady state and a constant value of rmal conductivity, temperature distribution associated with radial convection through a cylinder is


7. Three metal walls of same thickness and cross sectional area have rmal conductivities k, 2k and 3k respectively. The temperature drop across walls (for same heat transfer) will be in ratio


8. The interior of an oven is maintained at a temperature of 850 degree Celsius by means of a suitable control apparatus. The oven walls are 500 mm thick and are fabricated from a material of rmal conductivity 0.3 W/m degree. For an outside wall temperature of 250 degree Celsius, workout resistance to heat flow


9. The rate of conduction heat flow in case of a composite sphere is given by


10. If we increase thickness of insulation of a circular rod, heat loss to surrounding due to


Topics

This Chapter Steady-State-Conduction consists of the following topics

Steady State Conduction

A composite wall is made of two layers of thickness δ1 and δ2 having rmal conductivities k and 2k and equal surface area normal to direction of heat flow. The outer surface of composite wall are at 100 degree Celsius and 200 degree Celsius. The minimum surface temperature at junction is 150 degree Celsius. What will be ratio of wall thickness?

;

A spherical vessel of 0.5 m outside diameter is insulated with 0.2 m thickness of insulation of rmal conductivity 0.04 W/m degree. The surface temperature of vessel is – 195 degree Celsius and outside air is at 10 degree Celsius. Determine heat flow per m2 based on inside area

;

A cylinder of radius r and made of material of rmal conductivity k 1 is surrounded by a cylindrical shell of inner radius r and outer radius 2r. This outer shell is made of a material of rmal conductivity k 2. Net conductivity would be

;

A composite slab has two layers having rmal conductivities in ratio of 1:2. If thickness is same for each layer n equivalent rmal conductivity of slab would be

;

In case of homogeneous plane wall, re is a linear temperature distribution given by

;

For steady state and a constant value of rmal conductivity, temperature distribution associated with radial convection through a cylinder is

;

Three metal walls of same thickness and cross sectional area have rmal conductivities k, 2k and 3k respectively. The temperature drop across walls (for same heat transfer) will be in ratio

;

The interior of an oven is maintained at a temperature of 850 degree Celsius by means of a suitable control apparatus. The oven walls are 500 mm thick and are fabricated from a material of rmal conductivity 0.3 W/m degree. For an outside wall temperature of 250 degree Celsius, workout resistance to heat flow

;

The rate of conduction heat flow in case of a composite sphere is given by

;

If we increase thickness of insulation of a circular rod, heat loss to surrounding due to

;