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TABLE OF CONTENTS Pages Symposium 1 - the National Sea ...

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carried out for both <strong>the</strong> 50 m 3 and <strong>the</strong> 100 m 3 tanks (air volumes of 85 m 3 and 200 m 3 ,<br />

respectively).<br />

Extended energy budget Model (EM)<br />

The EM consists of three energy balance equations, corresponding to <strong>the</strong> three<br />

components of <strong>the</strong> system (tank water, inside air and cover, see Figure 1), and one<br />

mass balance equation of water vapor in <strong>the</strong> air.<br />

1. energy balance of <strong>the</strong> water: αwSi–Li–Hw–λEw–Hr–Hm=ρwdCwdT/dt<br />

2. energy balance of <strong>the</strong> air: Hw–Hc–Hv+λEw–λEc–λEv=0<br />

3. energy balance for <strong>the</strong> greenhouse cover : So–Si+Li–Lo+Hc+λEc–Ho=0<br />

4. mass balance of water vapor: Ew–Ec–Ev=0<br />

Hc<br />

Ho<br />

λEc<br />

Hw λEw<br />

Figure 1: Energy fluxes in <strong>the</strong> covered tank system.<br />

The explicit expressions for <strong>the</strong> various fluxes utilized conductive, convective<br />

and radiative transfer coefficients, which were adapted from experiments and from <strong>the</strong><br />

greenhouse literature (Kittas, 1985; Papadakis et al., 1992; Seginer et al.,1988). The<br />

meteorological and control variables were taken from <strong>the</strong> experiments.<br />

Radiation Model (RM)<br />

An analysis of <strong>the</strong> results obtained with <strong>the</strong> EM (to be described briefly in <strong>the</strong><br />

Results and Discussion section) indicated that <strong>the</strong> convective fluxes were relatively<br />

unimportant when <strong>the</strong> structure over <strong>the</strong> tank was not ventilated (as in winter). For<br />

such conditions a simplified model, RM, with emphasis on <strong>the</strong> radiative fluxes was<br />

developed (after Seginer et al.; 1988).<br />

The EM consists of only two energy balance equations, one for <strong>the</strong> tank water<br />

and one for <strong>the</strong> cover.<br />

5. Energy balance for <strong>the</strong> water : αwτcG–(Fw–Fc)–β(Fc–Fs)–Hr = 0<br />

6. Energy balance for <strong>the</strong> cover : αcG+(1–γ)(Fw–Fc)+(β–η)(Fc–Fs) = 0<br />

where Fi is a shorthand notation for σTi 4<br />

Lo<br />

Li<br />

Si<br />

So<br />

2<br />

λEv<br />

Hv<br />

Hr<br />

Hm

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