Data: Air at p = 1 atm enters a thin walled (D = 5mm diameter) long tube (L = 2 in) at an inlet temperature of Tmr100 °C. A constant heat flux is applied to the air from the tube surface. The mass flow rate of air is in = 135x le kg/s.
Properties of air (at 400 K): g = 230.1x10-7 N.s/m2, Pr = 0.690, k = 0.0338 W/m.K, Cp = 1014 J/kg.K
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Poincaré Conjecture.
Birch and Swinnerton-Dyer Conjecture.
Hodge Conjecture.
Navier–Stokes Existence and Smoothness.
P Versus NP Problem.
Riemann Hypothesis.
Yang-Mills Existence and Mass Gap.
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To date, the only Millennium Prize problem to have been solved is the Poincaré conjecture, which was solved in 2003 by the Russian mathematician Grigori Perelman. He declined the
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