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where is the latent heat of vaporization and a a mass transfer coefficient. Thex’sarethemoisturecontentsoftheair(kgwater/ kg dry air) at water-air interface and free stream respectively. Introducing into eq. 10 dimply) = and the mass balance -dm^ = n^dx^ yields V Tc " TW} ^c + = ^ diW + V a toA + hA(Tb - V ^c + a(xb " XA) ifg ^c (12) The change of moisture content in the air is a result of mass transfer and can be expressed as "A dltA - ““c <3S - V • or .. "A taA Introducing eq. 13 into eq. 12 and rearranging yields UW (Tc - TW) = a(xb “ XA)(iW ~ iWb) + hA(Tb “ TA) + ~^a{\ -XA) +a(xb-XA} ifg (13) (HO The ratio of the surface areas A^/A^ will not change considerably along the channel and dA^/dA^ = A^/A^ therefore • A^ = U^A^ or = (A^/A^ )l!y. Since T^ ^ T^ and iw - i^, eq. ll+ becomes %diw (i+T—T- ) (15) 1 UT_(T -T)=h„(T -Tj+a( ¥bcbAbA ^“XAnifg+ AA Eachterminthisequationrepresentsaheatflux. Multiplyingboth sides of eq. 15 by c /h yields P jri. h ac hl di [c (T -T)+-r-^(x, -x)(i + ~-^)] (l6) In. eq. l6 the heat fluxes are given as enthalpies and can therefore c(T -T)=r pc b hA UWb P b A hA d A fg mAdxA be shown in the i-x diagram and are called the "diagram values" of the C-15 )PDF Image | Development of the Zinc-Chlorine Battery for Utility
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