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Mathematics 2020, 8, x FOR PEER REVIEW 17 of 33 coefficient of the humidifier and feed water. Once the actual heat transfer is calculated, it can be used to evaluate the outlet temperatures of both steam and finally, the mass balance can give the quantity Mathematics 2021, 9, 33 of the condensed fresh water. This methodological framework is presented in a stepwise format as in 17 of 31 Figure 4. 3.5. Auxilary Equations Figure 4. The methodological framework for the analysis of the dehumidifier. Figure 4. The methodological framework for the analysis of the dehumidifier. 3.5. Auxilary Equations The auxiliary equations aids in the extraction of the temperature-dependent thermo- The auxiliary equations aids in the extraction of the temperature-dependent thermophysical physical properties of different fluids. These are mostly empirical equations and their usage properties of different fluids. These are mostly empirical equations and their usage in this work was in this work was practised with precaution in which the limit of each model is verified practised with precaution in which the limit of each model is verified with the database of with the database of Engineering Equation Solver [80] before the final implementation. Engineering Equation Solver [80] before the final implementation. The thermal conductivity of the dry air is given by [81]: The thermal conductivity of the dry air is given by [81]: ka = −4.937787 × 10−4 + 1.018087 × 10−4Ta − 4.627937 × 10−8Ta2 + 1.250603 × 10−11Ta3 (25) kv = 1.3−46×10−2 −3.756191×10−5Ta +2.217964×10−7Ta2 +1.111562×10−14Ta3 (26) The thermal conductivity of the water vapour is given by [81]: −4 −4 −8 2 −11 3 k = −4.937787 ×T1h0e th+e1r.m01a8l0c8o7n×d1u0ctiTvit−y4o.6f2t7h9e3w7 ×at1e0r vTap+o1u.r25is0g60iv3e×n10by [T81]: (25) a aaa The thermal conductivity of the humid air is given by [81]: k =1.3−46×10−2 −3.756191×10−5T +2.217964×10−7T2 +1.111562×10−14T3 vaaa (26) 1+1.608ω a The thermal conductivity of the hukmid air is=given by [81]: (27) (28) humid−air 1 1+1.608ω 1 K M1/3 + a M1/3 + a ω ω+0.622 ω ω+0.622 K M1/3 v v M1/3 v The latent heat of vaporization is given by [82]: iv = 3483181.4 − 5862.7703T + 12.139568T2 − 0.0140290431T3PDF Image | Humidification Dehumidification Solar Desalination System
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