10-8 W/M2K4. GATE-2. THE IRRADIATION (IN KW/M2) FOR THE UPPER PLATE (P...

10

-8

W/m

2

K

4

.

GATE-2. The irradiation (in kW/m

2

) for the upper plate (plate 1) is: [GATE-2009]

(a) 2.5

(b) 3.6

(c) 17.0

(d) 19.5

GATE-3. If plate 1 is also a diffuse and gray surface with an emissivity value of

0.8, the net radiation heat exchange (in kW/m

2

) between plate 1 and

plate 2 is:

[GATE-2009]

(a) 17.0

(b) 19.5

(c) 23.0

(d) 31.7

GATE-4. The following figure was generated from experimental data relating

spectral black body emissive power to wavelength at three

temperatures T

1

, T

2

and T

3

(T

1

> T

2

> T

3

). [GATE-2005]

Page 76 of 97

The conclusion is that the

measurements are:

(a)

Correct

because

the

maxima

in E

show the correct trend

(b) Correct because Planck's law

is satisfied

(c) Wrong because the Stefan

Boltzmann law is not satisfied

(d) Wrong because Wien's displacement law is not satisfied

Shape Factor Algebra and Salient Features of the Shape Factor

GATE-5. A hollow encloser is formed between

two infinitely long concentric cylinders

of radii 1 m ans 2 m, respectively.

Radiative heat exchange takes place

between the inner surface of the larger

cylinder (surface-2) and the outer

surface of the smaller cylinder (surface-

I). The radiating surfaces are diffuse

and the medium in the enclosure is

non-participating. The fraction of the

thermal radiation leaving the larger

surface and striking itself is:

[GATE-2008]

(a) 0.25

(b) 0.5

(c) 0.75

(d) 1

GATE-6. The shape factors with themselves of two infinity long black body

concentric cylinders with a diameter ratio of 3 are……… for the inner

and……… for the outer.

[GATE-1994]

(a) 0, 2/3

(b) 0, 1/3

(c) 1, 1/9

(d) 1, 1/3

GATE-7. For the circular tube of equal length and

diameter shown below, the view factor

F

13

is 0.17.

The view factor F

12

in this case will be:

(a) 0.17

(b) 0.21

(c) 0.79

(d) 0.83

[GATE-2001]

GATE-8. What is the value of the view factor for two inclined flat plates having

common edge of equal width, and with an angle of 20 degrees?

[GATE-2002]

(a) 0.83

(b) 1.17

(c) 0.66

(d) 1.34

Page 77 of 97

GATE-9. A solid cylinder (surface 2) is located at the centre of a hollow sphere

(surface 1). The diameter of the sphere is 1 m, while the cylinder has a

diameter and length of 0.5 m each. The radiation configuration factor

F

11

is:

[GATE-2005]

(a) 0.375

(b) 0.625

(c) 0.75

(d) 1

Heat Exchange between Non-black Bodies

GATE-10. The radiative heat transfer rate per unit area (W/m

2

) between two

plane parallel grey surfaces (emissivity = 0.9) maintained at 400 K and

300 K is:

[GATE-1993]

(a) 992

(b) 812

(c) 464

(d) 567

(Stefan Boltzman constant. σ = 5.67 × 10

–8

W/m

2

K

4

)

GATE-11. A plate having 10 cm

2

area each side is hanging in the middle of a room

of 100 m

2

total surface area. The plate temperature and emissivity are

respectively 800 K and 0.6. The temperature and emissivity values for

the surfaces of the room are 300 K and 0.3 respectively. Boltzmann's

constant

σ = 5.67 × 10

-8

W/m

2

K

4

. The total heat loss from the two

surfaces of the plate is:

[GATE-2003]

(a) 13.66 W

(b) 27.32 W

(c) 27.87 W

(d) 13.66 MW

Previous 20-Years IES Questions Introduction

IES-1.

Fraction of radiative energy leaving one surface that strikes the other

surface is called

[IES-2003]

(a) Radiative flux

(b) Emissive power of the first surface

(c) View factor

(d) Re-radiation flux

IES-2. Assertion (A): Heat transfer at high temperature is dominated by

radiation rather than convection. [IES-2002]

Reason (R): Radiation depends on fourth power of temperature while

convection depends on unit power relationship.

(a) Both A and R are individually true and R is the correct explanation of A

(b) Both A and R are individually true but R is not the of A

(c) A is true but R is false

(d) A is false but R is true

IES-3.

Assertion (A): In a furnace, radiation from the walls has the same

wavelength as the incident radiation from the heat source.

[IES-1998]

Reason (R): Surfaces at the same temperature radiate at the same

wavelength.

(b) Both A and R are individually true but R is not the correct explanation of A

Page 78 of 97

IES-4.

Consider following parameters:

[IES-1995]