5HE - April 2000
Any missing data may be suitably assumed
Use of Steam tables
and heat transfer data book are permitted
Part A (20 x 2 = 40 Marks)
- Define thermal conductivity
- What is thermal resistance and how is it calculated for conduction?
- What is logarithmic mean radius for cylinder and write its significance
- What is critical thickness of insulation for a cylinder?
- What is Fourier number and explain its significance
- What is nucleate boiling?
- What is Lieden frost point?
- What is Sieder Tate equation and why is it used?
- What is LMTD correction factor?
- What are compact heat exchangers?
- When do you use double pipe and when do you use shell and tube heat
- What are recuperators and regenerators?
- Define radiation shape factor
- Differentiate black body and grey body
- What are Fouling factors?
- Define emissive power and intensity of radiation
- What type of evaporator will you suggest for concentrating (a) heat
sensitive materials? (b) scale forming liquids?
- What are entrainment separators?
- What are the various types of condensers used in evaporator system?
- What are the advantages of thermal recompression?
Part B (5 x 12 = 60 Marks)
- A composite cylinder is made of 6 mm thick layers each of two materials of
thermal conductivities of 30 W/m.K and 45 W/m.K. The inside is exposed to a
fluid at 500oC with a convection coefficient of 40
W/m2.K and the outside is exposed to air at 35oC with a
convection coefficient of 25 W/m2.K There is a contact resistance
of 1 x 10-3 m2 oC/W between the layers. Determine the
heat loss for a length of 2 m. The inside dia = 20 mm
- It is desired to increase the heat dissipated over the surface of an
electric device of spherical shape of 5 mm radius exposed to convection with h
= 100 W/m2.K by encasing it in a transparent spherical sheath of
conductivity 0.04 W/m.K. Determine the diameter of the sheath for maximum heat
flow. For a temperature drop of 120oC from the device surface,
determine the heat flow for the base and sheathed device
- Steam at atmospheric pressure condenses on a 0.25 m2 vertical
plate. The plate temperature is 96oC. Find the heat transfer
coefficient and the mass of steam condensed per hour. The length of the plate
is 50 cm. At 97oC, rc = 960
kg/m3; k = 0.68 W/m.K; mc =
2.82 x 10-4 kg/m.s; hfg = 2255 kJ/kg
- An air craft flies at an attitude where the temperature is
-20oC and the pressure is 0.08 atm. The air speed is 900 km/hr. The
wind tank contains fuel at 20oC. Keeping the surface at this
temperature and assuming the effect of curvature to be small, determine the
Reynolds number at the wing tip if the 3 m wide. Also determine the location
from the leading edge where NRe = 5 x 105 if
fx = 0.0592 x NRex-0.2,
determine the value of local heat transfer coefficient
Data: At -20oC and 0.08 atm, the properties of air are, r = 0.116 kg/m3, m =
16.18 x 10-6 N.s/m2, k = 28.79 x 10-3 W/m.K,
NPr = 0.716
- Explain the field of application, advantages and disadvantages of
(a) double pipe heat exchanger
(b) shell and tube heat exchanger
(c) plate type heat exchanger
(d) compact heat exchanger
- Hot gases enter a finned tube heat exchanger at 300oC and leave
at 100oC. It is used to heat water at a flow rate of 1 kg/s from
35oC to 125oC. The specific heat of exhaust hot gas is
1000 J/kg.K and the overall heat transfer coefficient based on the gas side is
Uh = 100 W/m2.K. Determine the required gas surface area
using the NTU method
- (a) Explain briefly the wave theory and the quantum theory. (6)
(b) Derive the equation for heat transfer by radiation for
(i) two large parallel plates
(ii) one surface completely surrounded by another.
Assume both surfaces are grey (6)
- Calculate the radiation heat exchange for unit area between two parallel
infinite walls, the temperature of which are 400oC and
(a) both are black surfaces
(b) wall at 400oC is black body and wall of 100oC is
grey with emissivity of 0.5
(c) both walls are grey with emissivities of 0.8 and 0.5
Assume Stefan-Boltzmann constant as 4.92 x 10-8
- A solution of organic colloids in water is to be concentrated from 8% to
45% in a single effect evaporator. Steam is available at a gauge pressure of
1.03 atm. A pressure of 102 mm Hg absolute is to be maintained in the vapor
space. The feed rate to the evaporator is 12,000 kg/hr. The overall heat
transfer coefficient can be taken as 2800 W/m2.oC. The
solution has a negligible elevation in boiling point and a negligible heat of
(a) steam consumption
(b) the economy
(c) the heating area required
Data: The feed temperature is 21oC. The specific heat of the
feed solution is 3.77 kJ/kg.oC and the latent heat of vaporization
of the solution may be taken equal to that of water. Radiation losses may be
- Write short notes on:
(a) Vapor compression evaporator
(b) Methods of feeding of the evaporator.