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An instrument called a hotwire measures flow velocity by determining the electrical power required to keep...

An instrument called a hotwire measures flow velocity by determining the electrical power
required to keep a very small wire at a constant temperature in a flow. The wire has a diameter D, and is
cooled by convection over the wire.  
(a) For a fluid of arbitrary Prandtl number, develop an expression for the fluid velocity in terms of the
difference between the wire temperature and the freestream temperature.  
(b) What is the velocity of air at 1 atm and 25°C, if a wire of 0.5 mm diameter is at 50°C while dissipating
35 W/m?

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