Self Studies

Heat Transfer T...

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  • Question 1
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    Two finned surfaces with long fins are identical, except that the convention heat transfer coefficient for the first finned surface is twice that of second one. Then the correct statement for the efficiency and effectiveness of the first finned surface relative to second one.

  • Question 2
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    A metal sphere of surface area 0.0225 m2 is an evacuated enclosure whose walls are held at very low temperature. Electric current is passed through resistors embedded in the sphere causing electrical energy to be dissipated at rate of 75 watts. If sphere surface temperature is measured to be 560 K while is steady state. The reflectivity of sphere is

  • Question 3
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    A fluid (Prandtl number, Pr = 0.7) at 500 K flows over a flat plate 500 mm length, maintained at 300 K. The velocity of the fluid is 10 m/s. Assuming kinematic viscosity = \(30 \times {10^{ - 6}}{m^2}/s\), then which of the following statements are true regarding the boundary layer thickness at 5 mm from the leading edge?

  • Question 4
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    It is proposed to coat a 1 mm diameter wire with enamel paint (k = 0.1 W/mK) to increase the heat transfer with air. If the air side heat transfer coefficient is 100 W/m2K, the optimum thickness of enamel paint should be

  • Question 5
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    The effectiveness of a counter-flow heat exchanger has been estimated as 0.25. Hot gases enter at 200°C and leave at 75°C. Cooling air enters at 40°C. The temperature of the air leaving the unit will be:

  • Question 6
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    Air at 1 atmospheric pressure and 27 °C blows across a 12 mm diameter sphere at a a small heater inside the sphere maintains the surface temperature at 77 °C. With k = 0.026 W/m (kelvin) and with (Nu) = 31.4, the heat loss by the sphere would be

  • Question 7
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    A sphere with radius 20 cm has density 2500 kg/m3 and specific heat of 0.52 kJ/kg K has a uniform heat generation rate of 100 kW/m3. If heat received over it’s surface in 240 W, the rate of change of temperature of solid is ______ (°C/sec)

  • Question 8
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    An air stream flows with a velocity of 3 m/s. The temperature of which is to be measured by a thermocouple which can be approximated as a sphere of diameter 0.25 cm. Initially the junction and air are at a temperature of 25°C. The air temperature suddenly changes and is maintained at 215°C. The time required for the thermocouple to indicate a temperature of 165°C is:

    Take ρ = 8750 kg/m3, c = 380 J/kg°C, k (thermocouple) = 28 W/m°C and h = 145 W/m2°C

  • Question 9
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    A fin has 5 mm diameter and 100 mm length with insulated tip. The thermal conductivity of fin material is 400 Wm-1K-1. One end of the fin is maintained at high temperature and its remaining surface is exposed to ambient air. If the convective heat transfer coefficient is 40 Wm-2K-1, then

  • Question 10
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    A long 15 cm diameter shaft of stainless steel (K = 14.9 W/mK), ρ = 7900 kg/m3 C = 477 J/kgK and α = 3.95 × 10-6 m2/s is at a uniform temperature of 450 °C. The shaft is allowed to cool slowly in a chamber at 150°C with heat transfer coefficient of h = 85 W/m2K. Calculate the temperature (℃) at the end of 25 min after the cooling starts.

    Use (θ0 = 0.49 at Bi-1 = 2.337 and Fo = 1.053) and (θ0 = 0.88 at Bi-1 = 4.672 and Fo = 1.053)

  • Question 11
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    A cylindrical insulated pipe of diameter 0.3m has a surface temperature of 330K and is exposed to surrounding s at 298K. The emissivity and absorptivity of the pipe material are 0.89 and 0.92 respectively. If the surrounding are assumed to be transparent, find the % contribution of radiation to total heat transfer rate to surroundings. (Take convective heat transfer coefficient = 4.5 W/m2K)

  • Question 12
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    Liquid metal flows through a circular tube in which the velocity and temperature profiles are governed by:

    \(U\left( r \right) = {\rm{A}};\;T\left( r \right) - {T_W} = B\left[ {1 - {{\left( {\frac{r}{R}} \right)}^2}} \right]\)

    Where, TW and R are the wall radius and temperature respectively, and A, B are constants. The bulk mean temperature of water TM is given by:

  • Question 13
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    A fluid (k = 0.6 W/m°C and ν = 10-5 m2/s) enters a 10mm diameter and 15 m long tube at 298 K with a velocity of 0.5 m/s and leave the tube at 330 K. The tube is subjected to a uniform heat flux of 3 kW/m2 on its surface. Calculate the temperature of the surface at the exit in (K)

  • Question 14
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    A plate of dimensions 35 cm × 15cm (width) is kept vertically. The plate is initially at a temperature of 413 K and the ambient temperature may be taken as 293K. Calculate the maximum possible rate of heat dissipation (W) from both sides neglecting any radiation effects and use the following data for reference.

    Nu = 0.60(Ra) 0.25, ϑ = 41.09 × 10-6 m2/s, Pr = 0.723, k = 0.05W/mK

  • Question 15
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    A long rod 20 mm in diameter has one end maintained at 110°C. The surface of the rod is exposed to ambient air at 20°C with convection coefficient of 5 W/m2k. Calculate the heat loss (in W) from the rod having thermal conductivity of 15 W/mK.

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