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Date post: 25-Oct-2014
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A tube 13 mm in diameter (OD) and 1.5 m long is used to condense steam at 40 kPa (Tsat=76 ˚C). Calculate the heat transfer coefficient for this tube in Twall=52˚C
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Page 1: Heat

A tube 13 mm in diameter (OD) and 1.5 m long is used to condense steam at 40 kPa (Tsat=76 ˚C). Calculate the heat transfer coefficient for this tube in Twall=52˚C

Page 2: Heat

A thermocouple is used to measure a hot gas flowing in a tube maintained at 180 ˚C. The thermocouple indicates a temperature of 50˚C. If the emissivity of the thermocouple junction is 0.5 and the convective heat transfer coefficient is 250 W/m²-K, determine the actual temperature of the gas

A central heating radiator has a surface temp of 70˚C and heats a room maintained at 20˚C. Calculate the contribution of convection and radiation to heat transfer from

the radiator. Use Nul=0.118 (GrPr)1 /3 for convection. Mean film temp. properties are:

k=0.026 W/m-K, µ=1.8x10^-5 Pa.s, p=1.2 kg/m3, Pr=0.71

Page 3: Heat

A thin walled concentric tube Heat exchanger is used to cool engine oil at 160˚C to 60˚C with water that is available at 25˚C acting as coolant. The oil and water flowrates are each 2 kg/s and the diameter of the inner tube is 0.50 m and the corresponding value of Ui=250 W/m²-K. How long must the heat exchanger be to accomplish the desired cooling?

Determine the surface area required in a counter flow heat exchanger in which steam enters at 180˚C in a dry saturated state and leaves at 250˚C with an increase of enthalpy of 159 kJ/kg. The hot combustion gases (Cp=1.05 kJ/kg=K) enter when the super heater at 510 ˚C. The steam flow rate is 1000 kg/hr, and the U=26 W/m²-K.

Page 4: Heat

A cross flow heat exchanger with both fluids unmixed is used to heat water flowing at a rate of 20 kg/s, from 25˚C to 75˚C using gases available at 300˚C to be cooled at 180˚C. The U=95W/m²-K. Determine the area requirement. Cp gas=1005 J/kg-K.

Engine oil is to be cooled from 120 ˚C to 70˚C in a double pipe heat exchanger having an area of 1.4 m². The specific heat of oil is 2100 J/kg-K. Water at 30˚C is used to cool the oil and the maximum temperature of water is limited to 90˚C. The flow rate of water is available at 215.311 kg/hr. The overall heat exchanger coefficient is 300 W/m²-K. Determine the maximum possible flow rate of oil.

Page 5: Heat

The wall of a furnace is conducted from a 15 cm thick fire brick having a constant thermal conductivity of 1.7 W/m-K. The two sides of the wall are maintained at 1400 K and 1150 K, respectively. What is the rate of loss through the wall that is 50 cmx 3m on a side?

The roof of an electrically heated home is 6m long, 8m wide and 0.25 m thick, and is made of a flat layer of concrete whose thermal conductivity is K=0.80 W/m-K. The temperatures of the inner and outer surfaces of the roof one night are measured to be 15˚C and 4˚C respectively for a period of 10 hrs. Determine:

(a) The rate of heat loss;(b) Cost of heat loss to the home owner is cost of electricity if 0.08/kwH.

Page 6: Heat

A large glass window, of 0.50 cm thick (K=0.75 w/m-K) is exposed to warm air at 25˚C over its inner surface with convection coefficient of 15 W/m²-K. The outer air is at -15˚C with convection coefficient of 50 W/m²-K. Determine the heat transfer rate and inner and outer surface temperatures of the glass.

Consider a 0.80 m high and 1.5 m wide double pane window consisting of 4-mm thick layers of glass (K=0.78 w/m-K) separated by 10-mm wide stagnant air space (K=0.026 w/m-K). Determine the rate of heat transfer through the window and temperature of its inner surface for a day during which the room is maintained at 20˚C while the temperature of the outdoors is -10˚C. Take the convection coefficients on inner and outer surfaces to be hi=10 w/m²-K and ho=40 w/m²-K.

Page 7: Heat
Page 8: Heat

A 3-m high 5-m wide wall consists of long 16 cm x 22 cm cross section horizontal bricks (K=0.72 W/m-K) separated by 3-cm thick plaster layers (k=0.22 w/m-K). There are also 2 cm thick plaster layers on each side of the brick and a 3-cm thick rigid foam (k=0.026 w/m-K) on the inner side of the wall. The indoor and outdoor temperatures are 20˚C and -10˚C respectively, and the convection heat transfer coefficients on the inner and outer sides are hi=10 w/m²-K and ho=25 w/²m-K. Assuming one dimensional heat transfer and disregarding radiation, determine the rate of heat transfer through the wall.

Page 9: Heat
Page 10: Heat

A stainless steel pipe with a length of 35 ft has an inner diameter of 0.92 ft and an outer diameter of 1.08 ft. The temperature of the inner surface of the pipe is 122˚F and the outer temperature of the surface is 118˚F. The thermal conductivity of the stainless steel pipe is 108 Btu/hr-ft-˚F. Calculate the heat transfer (q) and heat flux (q/A) of the pipe.

A steel pipe (k=50 w/m-K) of 100 mm ID and 110 mm OD is to be covered with two layers of insulation each having a thickness of 50 mm. The thermal conductivity of the first insulation material is 0.06 w/m-K, and that of the second is 0.12 W/m-K. Estimate the heat loss per 1m length of pipe when the temperature of the inside tube surface is 523 K and that of the outer surface of insulation is 323 K. If the order of insulation were reversed, calculate the change in heat loss with all other conditions kept unchanged.

Page 11: Heat

A steel tube (k=45 w/m-K) of outside diameter is 7.6 cm and thickness of 1.3 cm is covered with an insulation material, (K=0.20 W/m-K) of thickness 2cm. A hot gas at 330˚C with a convection coefficient of 200 w/m-K is flowing inside the tube. The outer surface of the insulation is exposed to ambient air at 30˚C with a convection coeff of 50 w/m²-K. Calculate:

(a) Heat loss to air from the 5 m long tubes(b) Temperature drop due to thermal resistance of hot gases, steel tube insulation layer

and altitude air.


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