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Solar Collector Plate

Solar Collector Plate. Water tubes. Water flow. Collector plate 1 m wide, W=1 m. T. Radiation heat transfer in. x. insulation. x=L=0.1(m).

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Solar Collector Plate

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  1. Solar Collector Plate Water tubes Water flow Collector plate 1 m wide, W=1 m T Radiation heat transfer in x insulation x=L=0.1(m) Question: what will be the temperature distribution of the plate, T(x), if there is a constant radiation heat flux q” coming in. For simplicity, assume the temperature immediately below the water tube is constant, T(x=L)=TO.

  2. Temperature Distribution

  3. Temperature Distribution on the Plate T qcond qcond qcond x

  4. Heat Transfer to the Tube qtube = hAs(T-T) As=pRW h=140/[(pRW)(T- T)] =111.5(W/m2K) for a 2-cm radius pipe and an incoming water temperature of 20°C Water, 20°C Tube bond at temperature of 40°C

  5. Temperature Distribution in Flow Direction z Assume constant heat flux q” into the tube

  6. q”=h(TO-T)=2230 (W/m2), R=0.02 (m), dm/dt=0.05 (kg/s), cp=4200(J/kg K) Temperature Distribution in Flow Direction (2) Tz(z)=Tz(0)+0.212z=20+0.212z • Temperature increases linearly. It increases 0.212°C for every 1 m increase in length. The temperature increase in water can be significant if the tube length is long.

  7. Temperature distribution in flow direction (3) Assume h(convection heat transfer coefficient) is constant; q” is not a constant) As the water temperature increases, both the heat transfer and the rate of temperature change decrease also.

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