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The effective thermal conductivity keff for concentric cylinders and concentric spheres is provided in Equa- tions 9.59 and 9.62, respectively. Derive expressions for the critical Rayleigh numbers associated with the cylindrical and spherical geometries, Rac,crit and Ras,crit, respectively, below which keff is minimized. Evaluate Rac,crit and Ras,crit for air, water, and glycerin at a mean temperature of 300 K. For specified inner and outer surface temperatures and inner cylinder or sphere radii, comment on the heat transfer rate for outer cylinder or sphere radii corresponding to Rac,crit and Ras,crit, respectively.
a tank with a volume of 0.142 m3 is initially evacuated. the tank develops a small hole. air from the surroundings
consider steady heat conduction in a plane wall whose left surface node 0 is maintained at 40 degrees c while the right
a 1 meter section of 1040 steel square tubing is loaded in tesnion. the tubing has an outer edge length of 10mm and a
Determine the additional force and moment reactions at the base O caused by the addition of the three 100-lb traffic signals B, C, and D. Report your answers as a force magnitude and a moment magnitude.
Calculate the compression C in the strut and the horizontal components of the forces supported by hinges A and B when a horizontal force P = 50 lb is applied normal to the plane of the door as shown.
A heat pump with a COP of 3.0 is used to heat an air-tight house. When running, the heat pump consumes 5 kW of power. If the temperature in the house is 5 degrees C when the heat pump is turned on, how long will it take for the heat pump to raise the..
a pure jet engine operates on an ideal cycle. the pressure ratio is 13 and the turbine inlet temperature 830 k.
a small air turbine with an isentropic efficiency of 80 should produce 270 kjkgof work. the inlet temperature is 1000 k
derive the equation of motion of the simple pendulum consisting of a point mass m attached to a rigid wall by a string
You arrive home from a winter trip and turn on your baseboard (resistance coil) heater to warm the room. It remains on for 14 minutes, during which time it steadily consumes 3.5 kW of electricity. How much energy was transferred to the room in kJ?
water with a pressure of 800 kpa and a quality of 0.334 undergoes a constant pressure expansion process to four times
two resistors are given r1 470 ohms and r2 1200 ohms a the two resistors are connected in series with a 48 v source.
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