Heat transfre for a domestic radiator

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The discussion focuses on calculating the total heat transfer from a domestic radiator to a room, given specific dimensions and temperatures. The radiator measures 2.5m in length and 0.6m in height, with hot water circulating at 90°C while the room temperature is 14°C. The heat transfer equation used is based on the Stefan-Boltzmann law, yielding a radiated heat value of approximately 629.8W. Participants emphasize the need for clarity in calculations, particularly by including units. The next step involves determining the convective heat transfer coefficient to complete the analysis.
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Any suggestions anyone? Really struggling with this one !

Homework Statement


A domestic radiator is 2.5 m long and 0.6m high and is sited in a room whose temperature is 14C. Hot water is circulating through the radiator at a temperature of 90c. The radiator is convecting heat from both sides but only radiating from one side. Given that the surface emissivity is 0.7, calculate the total heat transfer from radiator to the room.



Homework Equations


Stefan-Boltzmann Constant = 5.67x10^-8

Nu = 0.59(Gr.Pr)^0.25 for laminar flow (GR.Pr)<10^9
Nu = 0.129(Gr.Pr)^0.33 for turbulent flow (GR.Pr)>10^9
where,
Grashof no. Gr= (\rho^2\beta(\theta1-\theta2)l^3)/\mu^3

Nusselt No. Nu= hl/k

Prandtl No. Pr=Cp\mu/k


The Attempt at a Solution



Q= \sigma\epsilonA(T1^4-T2^4)

= 5.67x10^-8 x 0.7 x 1.5 x (1.736x10^10-6.785x10^9)

= 629.8W
 
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Looks like you got the radiated heat correct. It would be preferable to include units with the numbers.

Now find the convective heat. One needs a formula for the convective heat transfer coefficient.
 

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