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A very long cylinder (diameter 1 mm) is placed perpendicular to a steady air stream whose velocit...

A very long cylinder (diameter 1 mm) is placed perpendicular to a steady air stream whose velocity is 10 m/sec. The cylinder is heated electrically; the power input is 100 watts per meter span. At what distance downstream is the rms temperature fluctuation in the wake of the cylinder reduced to 1 0C? Assume that the distribution of the mean temperature difference in the wake is similar to the distribution of the mean velocity defect. What is the mean temperature at the cylinder? For air at room temperature and pressure, ρ = 1.25 kg/m3, cp = 1000 Joule/kg 0C.

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