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Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1


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20 Questions MCQ Test GATE Mechanical (ME) 2023 Mock Test Series | Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1

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Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 1

The ratio  is known as 

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 1

Ans. (b)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 2

Assertion (A): In lumped heat capacity systems the temperaturegradient within the system is negligible


Reason (R): In analysis of lumped capacity systems the thermalconductivity of the system material is considered very highirrespective of the size of the system

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 2

Ans. (a)

If Biot number (Bi) =
then use lumped heat capacity
approach. It depends on size.

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 3

A thermocouple in a thermo-well measures the temperature of hot gas flowing through the pipe. For the most accurate measurement of temperature, the thermo-well should be made of:  

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 3

Ans. (a)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 4

A thermocouple in a thermo-well measures the temperature of hot gas flowing through the pipe. For the most accurate measurement of temperature, the thermo-well should be made of:  

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 4

Ans. (a)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 5

Assertion (A): During the temperature measurement of hot gas in aduct that has relatively cool walls, the temperature indicated by the thermometer will be lower than the true hot gas temperature.

Reason(R): The sensing tip of thermometer receives energy from the hot gas and loses heat to the duct walls. 

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 5

Ans. (a)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 6

A coolant fluid at 30°C flows over a heated flat plate maintained at aconstant temperature of 100°C. The boundary layer temperature distribution at a given location on the plate may be approximated asT = 30 + 70exp (–y) where y (in m) is the distance normal to the plate andT is in °C. If thermal conductivity of the fluid is 1.0 W/mK, the local convective heat transfer coefficient (in W/m2K) at that location will be: 

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 6

Ans. (b)
Given T = 30 + 70 e-y
or


We know that

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 7

The ratio of energy transferred by convection to that by conduction iscalled 

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 7

Ans. (b)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 8

The ratio of energy transferred by convection to that by conduction iscalled  

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 8

Ans. (b)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 9

The ratio of energy transferred by convection to that by conduction iscalled  ]

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 9

Ans. (b)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 10

Consider a hydrodynamically 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: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 10

Ans. (d) Bulk-mean temperature =



Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 11

The velocity and temperature distribution in a pipe flow are given by u(r) and T(r). If um is the mean velocity at any section of the pipe, the bulk mean temperature at that section is:  

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 11

Ans. (d) Bulk temperature


  • The bulk temperature represents energy average or ‘mixing cup’ conditions.
  • The total energy ‘exchange’ in a tube flow can be expressed in terms of a bulk temperature difference.
Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 12

Assertion (A): When heat is transferred from a cylinder in cross flow to an air stream, the local heat transfer coefficient at the forwar dstagnation point is large. 
Reason (R): Due to separation of the boundary layer eddiescontinuously sweep the surface close to the forward stagnation point.

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 12

Ans. (b)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 13

Consider the following statements: 
If a surface is pock-marked with a number of cavities, then ascompared to a smooth surface.
1. Radiation will increase
2. Nucleate boiling will increase
3. Conduction will increase
4. Convection will increaseOf these statements:

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 13

Ans. (b) If coefficient of friction is increased radiation will decrease.

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 14

Assertion (A): All analyses of heat transfer in turbulent flow musteventually rely on experimental data. 
Reason (R): The eddy properties vary across the boundary layer and noadequate theory is available to predict their behaviour.

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 14

Ans. (a)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 15

In the case of turbulent flow through a horizontal isothermal cylinderof diameter 'D', free convection heat transfer coefficient from thecylinder will: 

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 15

Ans. (a)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 16

For laminar flow over a flat plate, the local heat transfer coefficient 'hx'varies as x-1/2, where x is the distance from the leading edge (x = 0) ofthe plate. The ratio of the average coefficient 'ha' between the leading edge and some location 'A' at x = x on the plate to the local heat transfer coefficient 'hx' at A is 

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 16

Ans. (b) Here at

x = 0, h0 = h and at ,

Average coefficient = 

Therefore ratio =

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 17

For fully-developed turbulent flow in a pipe with heating, the Nusselt number Nu, varies with Reynolds number Re and Prandtl number Pr as 

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 17

Ans. (c)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 18

Natural convection heat transfer coefficients over surface of a verticalpipe and vertical flat plate for same height and fluid are equal. Whatis/are the possible reasons for this? 
1. Same height
2. Both vertical
3. Same fluid
4. Same fluid flow pattern

Select the correct answer using the code given below:

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 18

Ans. (d) Same height, both vertical and same fluid everything

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 19

Which one of the following statements is correct? 
The non-dimensional parameter known as Stanton number (St) isused in

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 19

Ans. (a)

Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 20

Which one of the following statements is correct? 
The non-dimensional parameter known as Stanton number (St) isused in

Detailed Solution for Test: One Dimensional Unsteady Conduction & Free & Forced Convection - 1 - Question 20

Ans. (a)

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