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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.
Refrigerant 134a flows at steady state through a horizontal tube with inner diameter of 0.05 m. The refrigerant enters the tube with a quality of 0.1, temperature of 36 C, and velocity of 10 m/s. The refrigerant exits the tube at 9 bar as a saturated..
how many grams of Na3PO4 will be needed to produce 250 mL of a solution of a solution that has a concentration of Na+ ions of 1.5 M.
a droplet of water diameter 100 um is falling through 20oc air at the terminal velocity of 0.298 ms. the relative
Air is expanded from 1.5MPa and 177°C to 90kPa in an adiabatic turbine. Determine the isentropic efficiency of this turbine if the air is exhausted at 0°C
a body is acted upon by an upward force of 12n and a horizontal force of 20n to the right. what are the amount and the
a pipeline has been proposed to carry natural gas 1715 miles fro alaskas north slope to calgary alberta canada. the
an ideal gas at 100 kpa and 15 degrees c enters a steady-flow compressor. the gas is compressed to 600 kpa and 10 of
Air at 300 kPa, 63oC, and a velocity of 423 m/s enters an insulated duct of varying cross-sectional area. The air exits at 150 kPa, 88oC. At the inlet, the cross-sectional area is 6.57 cm2. Assuming the ideal gas model for the air and variable specif..
a 1-m3 rigid tank initially contains air at 150 kpa 300 k. the tank is connected through a valve to a supply line at
a wind turbine with a 90m-diameter rotor is rotating at 30 rpm under steady winds at an average velocity of 25 kmh.
A 50 kg hot iron block is dropped into a relatively cold lake at temperature T. During thermal equilibrium the lake receives Q amount of heat from the iron block. Show that the entropy change of the lake is Q/T starting with an expression for the spe..
determine the temperatures of surface 1 through 4 of the furnace cavity of example 13.3 if the entire furnace
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