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An underfloor with a heating system is kept at a temperature of 35 C to heat up a room where the air is at
An underfloor with a heating system is kept at a temperature of 35 C to heat up a room where the air is at 22 C. Using the proposed correlation below, determine the heat transfer coefficient between the horizontal floor and the air and the heating power provided by the floor per m. Choose the correct air properties and consider a characteristic length of 1 m. [4.1 W/(m K); 53.6 W/m)] Property p [kg/m] Cp [kJ/(kg K)] v [m/s] [W/(m K)] T = 20 C 1.204 1.007 1.516-10-5 0.02514 Gr= Grashof number: g.. (T1T2). [ v2 Prandtl number Pr = v.p. Cp Air properties T = 25 C 1.184 1.007 1.562.10-5 0.02552 Temperature T = 30 C 1.164 1.007 1.608. 10-5 0.02588 Nusselt number: 1 Nu = 0.15. Rat T = 35 C 1.145 1.007 1.655.10-5 0.02625 T = 45 C 1.109 1.007 1.750-10-5 0.02699 Rayleigh number: Ra = Pr. Gr Expansion coefficient: 8=771 Tf
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