Heat Transfer Questions and Answers - Conduction Through a Composite Wall

1. A composite wall generally consists of
a) One homogenous layer
b) Multiple heterogeneous layers
c) One heterogeneous layer
d) Multiple homogenous layer

Answer: b
Explanation: Walls of houses where bricks are given a layer of plaster on either side

2. Three metal walls of the same thickness and cross sectional area have thermal conductivities k, 2k and 3k respectively. The temperature drop across the walls (for same heat transfer) will be in the ratio
a) 3:2:1
b) 1:1:1
c) 1:2:3
d) Given data is insufficient

Answer: a
Explanation: As, δ1 = δ2 = δ3 and cross sectional areas are same i.e. temperature drop varies inversely with thermal conductivity.

3. A composite wall is made of two layers of thickness δ1 and δ2 having thermal conductivities k and 2k and equal surface area normal to the direction of heat flow. The outer surface of composite wall are at 100 degree Celsius and 200 degree Celsius. The minimum surface temperature at the junction is 150 degree Celsius. What will be the ratio of wall thickness?
a) 1:1
b) 2:1
c) 1:2
d) 2:3

Answer: c
Explanation: Q = k 1 A 1 d t 1 / δ1 = k 2 A 2 d t 2 / δ2 Also areas are same.

4. Let us say thermal conductivity of a wall is governed by the relation k = k0 (1
+ α t). In that case the temperature at the mid-plane of the heat conducting wall would be
a) Av. of the temperature at the wall faces
b) More than average of the temperature at the wall faces
c) Less than average of the temperature at the wall faces
d) Depends upon the temperature difference between the wall faces

Answer: b
Explanation: k0 is thermal conductivity at 0 degree Celsius. Here β is positive so it is more than average of the temperature at the wall faces.

5. A pipe carrying steam at 215.75 degree Celsius enters a room and some heat is gained by surrounding at 27.95 degree Celsius. The major effect of heat loss to surroundings will be due to
a) Conduction
b) Convection
c) Radiation
d) Both conduction and convection

Answer: c
Explanation: As there is temperature difference so radiation suits well.

6. “Radiation cannot be affected through vacuum or space devoid of any matter”. True or false
a) True
b) False
c) none
d) none

Answer: b
Explanation: It can be affected only by air between molecules and vacuum of any matter.

7. A composite slab has two layers having thermal conductivities in the ratio of 1:2. If the thickness is the same for each layer then the equivalent thermal conductivity of the slab would be
a) 1/3
b) 2/3
c) 2
d) 4/3

Answer: d
Explanation: 2(1) (2)/1+2 = 4/3.

8. A composite wall of a furnace has two layers of equal thickness having thermal conductivities in the ratio 2:3. What is the ratio of the temperature drop across the two layers?
a) 2/3
b) 3/2
c) 1/2
d) log e 2 : log e

Answer: b
Explanation: We know that temperature is inversely proportional to thermal conductivity, so the ratio is 2:3.

9. Typical examples of heat conduction through cylindrical tubes are not found in
a) Power plants
b) Oil refineries
c) Most process industries
d) Aircrafts

Answer: d
Explanation: Boilers have tubes in them, the condenser consist of a bank of tubes.

10. The rate of heat conduction through a cylindrical tube is usually expressed as
a) Per unit length
b) Per unit area
c) Only length
d) Only area

Answer: a
Explanation: it is expressed as per unit length rather than per unit area as done for plane walls