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Test: Convective Heat Transfer: One Dimensional Level - 1 - Mechanical Engineering MCQ


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10 Questions MCQ Test - Test: Convective Heat Transfer: One Dimensional Level - 1

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Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 1

Match List-I (Flow pattern) with List-II (Situation) and select the answer using the codes given below the lists.

List-I

(A)

(B)

(C)

List-II

1. Hot horizontal plat

2. Cool horizontal plate

3. Hot vertical plate

4. Cool vertical plate

Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 1
As the cold particles come in contact with hot bodies, they get heated up. This heated up fluid becomes lighter and rises in the upward direction because of buoyancy and the opposite will happen when hot fluid comes in contact with a colder surface.

*Answer can only contain numeric values
Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 2

Forced air flows over the surface of heat exchanger in a room heater, resulting in a convective heat transfer coefficient 1.136kW/m2k. The surface temperature of heat exchanger may be considered constant at , and the air is at an ambient temperature 20oC. Determine the heat exchanger surface area required for 8.8 kW of heating (in m2) correct upto 3 decimal places.


Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 2

The convective heat transfer rate from a solid surface to the surrounding fluid is given by Newton’s law of cooling Q = h A(ts - tf)

Substituting the given data, we obtain 8.8 = 1.136 A(65 - 20)

Therefore heat exchanger surface area,

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Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 3

Consider a hydro-dynamically fully developed flow of cold air through a heated pipe of radius ro . The velocity and temperature distributions in the radial direction are given by u(r) and T(r) respectively. If um , is the mean velocity at any section of the pipe, then the bulk-mean temperature at that section is given by

Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 3
Bulk- mean temperature

*Answer can only contain numeric values
Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 4

Air at 20C flows over a flat plate maintained at 75C . Measurements show that temperature at a distance of 0.5 mm from the surface of the plate is 50C. Presuming thermal conductivity of air as 0.0266 W / m-deg, estimate the value of local heat transfer coefficient, (in W/m2K ) correct upto two decimal places.


Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 4

Assuming linear variation of temperature

= 24.18 W/m2-°C

Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 5

Match List-I (Type of heat transfer) with List-II (Governing dimensionless parameters) and select the correct answer using the codes given below the lists.

List-I

a. Forced convection

b. Natural convection

c. Combined free and forced convection

d. Unsteady conduction with convection at surface

List-II

1. Reynolds, Grashoff and Prandtl number

2. Reynolds and Prandtl number

3. Fourier number and Biot number

4. Prandtl number and Grashoff number

Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 5
In forced convection, Reynolds number and Prandtl number are significant; in free convection, Grashoff number and Prandtl number are significant; in unsteady conduction with convection Fourier number and Biot number are significant.

*Answer can only contain numeric values
Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 6

A horizontal heated plate at 200C and facing upwards has been placed in still air at 20C . If the plate measures 1.25m x 1m , make calculations for the heat loss by natural convection. The convective film coefficient for free convection is given by the following empirical relation h=0.32 (θ)0.25W/m2K

Where θ is the mean film temperature in Kelvin. Predict your answer in watts correct upto two decimal places.


Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 6

Mean film temperature,

∴Convective film coefficient,

h = 0.32 x (383)0.25

= 1.415 W/m2-K

Rate of heat loss, Q

= h A Δt

= 1.415 x (1.25 x 1) x (200 - 20)

= 318.375 W

Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 7

In a convective heat transfer situation Reynolds number (Re) is very large but the Prandtl number (Pr) is so small that the product of Re and Pr is less than one. In such a condition which one of the following is correct?

Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 7

When Pr number is less than one. The Reynold number only signifies about the thickness of the hydrodynamic boundary layer and related to thermal boundary through the Prandtl number.

Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 8

Nusselt number for a pipe flow heat transfer coefficient is given by the equation NuD = 4.36. Which one of the following combinations of conditions do exactly apply for use of this value?

Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 8
For laminar pipe flow

Nu = 4.36 (for constant wall heat flux)

Nu = 3.66 (for constant wall temperature)

Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 9

For a fluid having Prandtl number equal to unity, how are the hydrodynamic boundary layer thickness δ and the thermal boundary layer thickness δ t related?

Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 9

Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 10

Hot air at 150oC flows over a flat plate maintained at 50oC. If the corresponding convection heat transfer coefficient is 75 W/m2K, the heat gain rate by the plate through an area 2m2 of will be

Detailed Solution for Test: Convective Heat Transfer: One Dimensional Level - 1 - Question 10

Q = hA ΔT

= 75 x 2 x (150- 50)

= 15 kW

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