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Consider a tapered fin of length 5 cm dissipating heat to an ambient at 30 °C. The heat transfer coefficient on the surface and the tip is 100 W/m2 °C. The fin tapers from a thickness of 5 mm to a thickness of 2 mm at the tip. The thermal conductivity of the material of the fin is 100 W/m °C. The width of the fin is constant along the length and equal to 2 mm. Determine the heat dissipation from the fin for a base temperature of 100 °C. Use
(a) two linear elements and
(b) one quadratic element. Also, calculate the fin efficiency.
The figure shows a typical V-truss A-B from a building crane. In this exercise the truss is considered as plane. The truss is supported by a fixed hinge at A and an inclined tension bar DC, connected to the head of the truss at C. It carries the v..
A piston/cylinder has nitrogen gas at 750 K and 1500 kPa. Now it is expanded in a polytropic process with n = 1.2 to P = 750 kPa. Find the final temperature, the specific work and specific heat transfer in the process.
a 5 m3 container is filled with 900 kg of granite density 2400 kgm3 and the rest of the volume is air with density
A pump fitted with 50mm bore ball bearings uses oil whose viscosity ranges from 100cSt at cold pump start-up to 7.5Cst when running at maximum speed and load. If these viscosities are the safe limits for the oil, specify the maximum start-up speed an..
Steam is used in the following adiabatic turbine system to generate electricity; 15% of the mass flow from the first turbine is diverted for other use. How much work (in kJ/h) is generated by the first turbine which is 80% efficient?
a pump steadily draws water at a mass flow rate at 20 lbms through a piping arrangment. at the pipe inlet the pressure
an internally reversible heat engine operates between the temperatures of 827deg c and 17 deg c and rejects 100 kj min
an evacuated 150 l tank is connected to a line flowing air at room temperature 25 degrees c and 8 mpa pressure. the
Find the natural frequencies of a cantilever beam of length l, cross-sectional area A, moment of inertia I
the compression ratio of an ideal dual cycle is 14. air is at 100 kpa and 300 k at the beginning of the compression
Pure Lead (density = 10, 500 kg/m3, and kinematic viscosity = 1.617X10-7 m/sec.) is poured into a sand mold. The metal level in the pouring basin is 200 mm above the metal level in the mold, and the runner is circular with a 12.7 mm diameter.
the mass of dry air, in kg, if the mass of water vapor is 10 kg.
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