Heat Transfer Mechanical previous year questions with answer


Ques 41 GATE 2014 SET-2


A hemispherical furnace of 1 m radius has the inner surface (emissivity, ε = 1) of its roof maintained at 800 K, while its floor (ε = 0.5) is kept at 600 K. Stefan-Boltzmann constant is 5.668 × 10−8 W/m2·K4. The net radiative heat transfer (in kW) from the roof to the floor is _______


24.6 is the correct answer.


Ques 42 GATE 2014 SET-2


A material P of thickness 1 mm is sandwiched between two steel slabs. A heat flux of 10 kW/m2 is supplied to one of the steel slabs. The boundary temperatures of the slabs are 100°C and 60°C. Thermal conductivity of steel is 10 W/m·K. Considering 1-D steady state heat conduction, the thermal conductivity (k, in W/m·K) of material P is _______


0.1 is the correct answer.


Ques 43 GATE 2014 SET-2


In a concentric counter flow heat exchanger, water flows through the inner tube at 25°C and leaves at 42°C. The engine oil enters at 100°C and flows in the annular flow passage. The exit temperature of the engine oil is 50°C. Mass flow rate of water and the engine oil are 1.5 kg/s and 1 kg/s, respectively. The specific heat of water and oil are 4178 J/kg·K and 2130 J/kg·K, respectively. The effectiveness of this heat exchanger is _______


0.66 is the correct answer.


Ques 44 GATE 2014 Set-1


Biot number signifies the ratio of

A

convective resistance in the fluid to conductive resistance in the solid

B

conductive resistance in the solid to convective resistance in the fluid

C

inertia force to viscous force in the fluid

D

buoyancy force to viscous force in the fluid



Ques 45 GATE 2014 Set-1


Consider a two-dimensional laminar flow over a long cylinder as shown in the figure below.

The free stream velocity is Ux and the free stream temperature Tx is lower than the cylinder surface temperature Ts The local heat transfer coefficient is minimum at point

A

1

B

2

C

3

D

4



Ques 46 GATE 2014 Set-1


Consider one dimensional steady state heat conduction across a wall (as shown in figure below) of thickness 30 mm and thermal conductivity 15 W/m.K. At x = 0, a constant heat flux, q" = 1×105 W/m2 is applied. On the other side of the wall, heat is removed from the wall by convection with a fluid at 25°C and heat transfer coefficient of 250 W/m2.K. The temperature (in °C), at x = 0 is _______


620 to 630 is the correct answer.


Ques 47 GATE 2014 Set-1


The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by where y is measured perpendicular to the plate, L is the plate length, and a, b and c are arbitrary constants. TW and T are wall and ambient temperatures, respectively. If the thermal conductivity of the fluid is k and the wall heat flux is q" , the Nusselt number is equal to

A

a

B

b

C

2c

D

(b+2c)



Ques 48 GATE 2013 SET-4


Consider one-dimensional steady state heat conduction along x-axis (0 ≤ x ≤ L), through a plane wall with the boundary surfaces (x=0 and x=L) maintained at temperatures of 0°C and 100°C. Heat is generated uniformly throughout the wall. Choose the CORRECT statement.

A

The direction of heat transfer will be from the surface at 100°C to the surface at 0°C.

B

The maximum temperature inside the wall must be greater than 100°C.

C

The temperature distribution is linear within the wall.

D

The temperature distribution is symmetric about the mid-plane of the wall.



Ques 49 GATE 2013 SET-4


Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure. The conductivity of the wall is given by k = k0 + bT; where k0 and b are positive constants, and T is temperature. As x increases, the temperature gradient (dT/dx) will

A

remain constant

B

be zero

C

increase

D

decrease



Ques 50 GATE 2013 SET-4


Two large diffuse gray parallel plates, separated by a small distance, have surface temperatures of 400 K and 300 K. If the emissivities of the surfaces are 0.8 and the Stefan-Boltzmann constant is 5.67×10-8 W/m2K4, the net radiation heat exchange rate in kW/m2 between the two plates is

A

0.66

B

0.79

C

0.99

D

3.96