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Steady State Conduction Online Exam Quiz

Options

A : a. 1173.88 W

B : b. 1273.88 W

C : c. 1373.88 W

D : d. 1473.88 W

A steel pipe of 20 mm inner diameter and 2 mm thickness is covered with 20 mm thick of fiber glass insulation (k = 0.05 W/m degree). If the inside and outside convective coefficients are 10 W/m² degree and 5 W/m² degree, calculate the overall heat transfer coefficient based on inside diameter of pipe. In the diagram, the diameter of small circle is 20 mm

Options

A : a. 1.789 W/m² degree

B : b. 2.789 W/m² degree

C : c. 3.789 W/m² degree

D : d. 4.789 W/m² degree

The oven of an electric store, of total outside surface area 2.9 m² dissipates electric energy at the rate of 600 W. The surrounding room air is at 20 degree Celsius and the surface coefficient of heat transfer between the room air and the surface of the oven is estimated to be 11.35 W/m² degree. Determine the average steady state temperature of the outside surface of the store

Options

A : a. 38.22 degree Celsius

B : b. 48.22 degree Celsius

C : c. 58.22 degree Celsius

D : d. 68.22 degree Celsius

The accompanying sketch shows the schematic arrangement for measuring the thermal conductivity by the guarded hot plate method. Two similar 1 cm thick specimens receive heat from a 6.5 cm by 6.5 cm guard heater. When the power dissipation by the wattmeter was 15 W, the thermocouples inserted at the hot and cold surfaces indicated temperatures as 325 K and 300 K. What is the thermal conductivity of the test specimen material?

Options

A : a. 0.81 W/m K

B : b. 0.71 W/m k

C : c. 0.61 W/m K

D : d. 0.51 W/m K

In Cartesian coordinates the heat conduction equation is given by

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A : a. d²t/dx² + d²t/dy2 + d²t/dz2 + q g = (1/?) (d t/d T)

B : b. 2d²t/dx² + d²t/dy2 + d²t/dz2 + 34q g = (d t/d T)

C : c. d²t/dx² + 3d²t/dy2 + d²t/dz2 = (1/?) (d t/d T)

D : d. 4d²t/dx² + d²t/dy2 + d²t/dz2 + 1/2q g = (1/?) (d t/d T)

The temperature distribution in a large thin plate with uniform surface temperature will be (Assume steady state condition)

Options

A : a. Logarithmic

B : b. Hyperbolic

C : c. Parabolic

D : d. Linear

Options

A : a. 1

B : b. 1/2

C : c. 2

D : d. 4

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 thermal conductivity 0.3 W/m degree. For an outside wall temperature of 250 degree Celsius, workout the resistance to heat flow

Options

A : a. 0.667 degree/W

B : b. 1.667 degree/W

C : c. 2.667 degree/W

D : d. 3.667 degree/W

A plane slab of thickness 60 cm is made of a material of thermal conductivity k = 17.45 W/m K. Let us assume that one side of the slab absorbs a net amount of radiant energy at the rate q = 530.5 watt/m². If the other face of the slab is at a constant temperature t? = 38 degree Celsius. Comment on the temperature with respect to the slab?

Options

A : a. 87.5 degree Celsius

B : b. 32 degree Celsius

C : c. 47.08 degree Celsius

D : d. 32.87 degree Celsius

The rate of heat transfer for a plane wall of homogenous material with constant thermal conductivity is given by

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A : a. Q = kA (t?-t?)/?

B : b. Q = 2kAx/ ?

C : c. Q = 2kA?x

D : d. Q = 2k/? x

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

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A : a. t = t? + (t?-t?) ?/x

B : b. t = t? – (t?-t?) x/ ?

C : c. t = t? + (t?-t?) x

D : d. t = t? + (t?-t?) x/ ?

The rate of convective heat transfer between a solid boundary and adjacent fluid is given by

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A : a. Q = h A (ts – tf)

B : b. Q = h A

C : c. Q = (ts – tf)

D : d. Q = h (ts – tf)

A homogeneous wall of area A and thickness ? has left and right hand surface temperatures of 0 degree Celsius and 40 degree Celsius. Determine the temperature at the center of the wall

Options

A : a. 10 degree Celsius

B : b. 20 degree Celsius

C : c. 30 degree Celsius

D : d. 40 degree Celsius

A rod of 3 cm diameter and 20 cm length is maintained at 100 degree Celsius at one end and 10 degree Celsius at the other end. These temperature conditions are attained when there is heat flow rate of 6 W. If cylindrical surface of the rod is completely insulated, determine the thermal conductivity of the rod material

Options

A : a. 21.87 W/m degree

B : b. 20.87 W/m degree

C : c. 19.87 W/m degree

D : d. 18.87 W/m degree

A composite wall generally consists of

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A : a. One homogenous layer

B : b. Multiple heterogeneous layers

C : c. One heterogeneous layer

D : d. Multiple homogenous layers

Three metal walls of 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

Options

A : a. 3:2:1

B : b. 1:1:1

C : c. 1:2:3

D : d. Given data is insufficient

Options

A : a. 1:1

B : b. 2:1

C : c. 1:2

D : d. 2:3

Let us say thermal conductivity of a wall is governed by the relation k = k0 (1 + ? t). In that case the temperature at the mid-plane of the heat conducting wall would be

Options

A : a. Av. of the temperature at the wall faces

B : b. More than average of the temperature at the wall faces

C : c. Less than average of the temperature at the wall faces

D : d. Depends upon the temperature difference between the wall faces

Heat is transferred from a hot fluid to a cold one through a plane wall of thickness (?), surface area (A) and thermal conductivity (k). The thermal resistance is

Options

A : a. 1/A (1/h? + ?/k + 1/h?)

B : b. A (1/h? + ?/k + 1/h?)

C : c. 1/A (h? + ?/k + h?)

D : d. A (1/h? + ?/k + 1/h?)

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

Options

A : a. Conduction

B : b. Convection