2.16. It is proposed to estimate the uniform velocity U. of a stream of air of temperature 20°C by measuring the temperature of a thin metallic blade that is heated and inserted parallel to U in the airstream (Fig. P2.16). The width of the blade (i.e., the dimension aligned with U) is L = 2 cm. The blade is considerably longer in the direction normal to the figure; therefore, the boundary layer flow that develops is two-dimensional. The blade is heated volumetrically by an electric current so that 0.03 W electrical power is dissipated in each square centimeter of metallic blade. It is assumed that the blade is so thin that the effect of heat conduction through the blade (in the x direction) is negligible. A temperature sensor mounted on the trailing edge of the blade reads T = 30°C. Calculate the free-stream velocity U that corresponds to this reading. UT = 20°C - T = 30°C

Elements Of Electromagnetics
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2.16. It is proposed to estimate the uniform velocity U of a stream of air of
temperature 20°C by measuring the temperature of a thin metallic blade
that is heated and inserted parallel to U in the airstream (Fig. P2.16). The
width of the blade (i.e., the dimension aligned with U) is L= 2 cm. The
blade is considerably longer in the direction normal to the figure; therefore,
the boundary layer flow that develops is two-dimensional. The blade is
heated volumetrically by an electric current so that 0.03 W electrical power
is dissipated in each square centimeter of metallic blade. It is assumed that
the blade is so thin that the effect of heat conduction through the blade (in
the x direction) is negligible. A temperature sensor mounted on the trailing
edge of the blade reads T, = 30°C. Calculate the free-stream velocity U.
that corresponds to this reading.
U T = 20°C
T 30°C
Figure P2.16
Transcribed Image Text:2.16. It is proposed to estimate the uniform velocity U of a stream of air of temperature 20°C by measuring the temperature of a thin metallic blade that is heated and inserted parallel to U in the airstream (Fig. P2.16). The width of the blade (i.e., the dimension aligned with U) is L= 2 cm. The blade is considerably longer in the direction normal to the figure; therefore, the boundary layer flow that develops is two-dimensional. The blade is heated volumetrically by an electric current so that 0.03 W electrical power is dissipated in each square centimeter of metallic blade. It is assumed that the blade is so thin that the effect of heat conduction through the blade (in the x direction) is negligible. A temperature sensor mounted on the trailing edge of the blade reads T, = 30°C. Calculate the free-stream velocity U. that corresponds to this reading. U T = 20°C T 30°C Figure P2.16
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