Experimental and Numerical Analysis of a PCM-Supported ...

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within the inaccuracy margins. The reasons behind these findings are elaborated below. For the higher packing height, the surface area for direct contact heat and mass transfer for both packing types (i.e. PCM and empty spheres) is reduced due to reducing the mass flow rate of water (wetted area is reduced, see equation 4.47) but still higher than the low packing height while the mass transfer coefficient is still high since the air mass flow rate is mainitained at the high level (see equation 4.49). Furthermore, since the wetted area is reduced by 50%, as a result the parallel path of heat flow from the liquid to gas phase through the solid phase is cut by half. This gives rise to the direct mass diffusion since the the mass transfer coefficient is still high due to higher air mass flow rate as just mentioned above. Lowering the packing hight by 50%, the total interfacial area for direct diffusion in the bed is also halved which gives rise to the MEHH, thus the PCM system procuces 26.2% more fresh water than the empty packing. Increasing the packing height increases the surface area for heat and mass transfer between all phases for a given liquid and gas loads. Thus, higher boundary conditions are necessary for higher packing heights to avoid cooling effects while satisfying the favorable temperature profiles and heat flow directions. In contrary, higher packing height would have negative impact on system performance under lower boundary conditions because it will act only as a heat sink for both liquid and gas phases due to cooling effects in the lower part of the evaporator which hinders the productivity. Under steady state, the break even point will be located vertically at a distance where the net heat flow between gas and solid phase in the bed could be in the direction from gas to solid. This explains the comparative behavior of the PCM system under the first and last set of boundary conditions for both packing height levels in figure (5.10). Under the same higher boundary conditions (first set) the positive impact of PCM in the system decreased with decreasing the packing height due to lower surface interfacial areas and lower number of MEHH (half number of packing layers). In contrary, under lower inlet water temperature the negative impact of PCM at higher packing level turns out to be positive at the lower level due to low mass transfer rate at the water-gas interface in both PCM and empty spheres. Nevertheless in PCM the MEHH effect starts to apear due to the trade off between sensible and latent heat transfer at different interfaces as elaborated earlier. In the third case of boundary conditions (reference is still made to figure 5.10 and table 5.2), the packing height plays no major role and the positive effect of PCM is not remarkably high because the air velocity is low which lowers the gas-solid heat transfer coefficient and hence the role of MEHH is not well activated although the inlet hot water temperature and mass flow rate are kept at the higher level. Here direct heat and mass transfer at the liquid gas interface 119 --
dominates due to both high temperature and concentration gradients and low heat transfer rate from liquid to gas through the solid phase. Figure 5.10: Comparative productivity; (Top) 78cm packed height, (Bottom) 39cm packed height 120 --
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Technische Universität München In
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It is my pleasure to thank Prof. Th
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Contents List of figures ..........
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5.3 Functional description ........
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List of Figures Figure 1.1: Cost br
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78cm; Top: Evaporator, Bottom: Cond
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xii
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m Mass flow rate; [kg.s -1 ] m eva
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ed c coll cond cw d d e or eff evap
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1 Introduction The first part of th
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summarized in figure (1.2). Thermal
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1.3.2 Selection criteria of desalin
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of energy storage or hybridization
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Desalination development focuses on
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Introduction of the indirect type s
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2 Literature Survey 2.1 Introductio
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There is actually a commercial prod
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Q m H c ( T T1) c ( T 2 T ) (2.2)
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(solid-liquid) have a storage densi
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(iii) a sharp melting temperature.
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melt and freeze without segregation
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However, the stored heat is less va
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parameters on the heat transfer and
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categories. The first category is b
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to 550 kWh/m 3 of distilled water a
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The enthalpy and humidity of the sa
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Air mass flow rate [kg/h] GOR [-] 1
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On the other hand, the efficiency o
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2.8.4.2 Effect of air to water mass
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distillate rate. The system was not
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were; EnviPac Gr.1, 32 mm, and VFF
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Figure 2.15: Height versus air temp
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The performance of the condenser is
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Klausner and Mei [136] described a
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The impact of the collector cost ca
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exchanger and energy storage in one
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3 Scope of the Study This chapter p
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packing where it gets in direct con
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In fact there is a tradeoff between
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The energy flow between all and eac
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4 Theoretical Analysis and Modeling
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The two-energy equation models whic
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solid-liquid phase change inside th
Page 88 and 89: assumed by conduction in both axial
Page 90 and 91: the air pressure drop ∆P per unit
Page 92 and 93: evaporation rate per unit volume of
Page 94 and 95: where β t , β c , ρ ref , c ref
Page 96 and 97: the viscous transport and introduce
Page 98 and 99: liquid and solid phases, respective
Page 100 and 101: 4.2.3.3 Liquid and gas hold-ups Liq
Page 102 and 103: Several models and approaches for m
Page 104 and 105: where G=ρU d /ε g is the pore mas
Page 106 and 107: k k eff s 1 3 2 (4.55) This cor
Page 108 and 109: uncertainties associated with the f
Page 110 and 111: 1 2 (4.62) d1 capp c2 c1 c2 1
Page 112 and 113: [58] evaluated the cooling tower ai
Page 114 and 115: 1 exp NTU 1 C r, cond cond (4
Page 116 and 117: A HE QHE U T HE LM (4.81) Where Q
Page 118 and 119: c M f b (4.86) M b S S f where r
Page 120 and 121: that form the study logical foundat
Page 122 and 123: 5 Experimental Analysis This chapte
Page 124 and 125: 5.2 Measuring Techniques K-type the
Page 126 and 127: The product condensed water was mea
Page 128 and 129: operating limits. In light of the l
Page 130 and 131: In the last two cases, the inlet ho
Page 132 and 133: performance and its threshold value
Page 134 and 135: It could be interpreted that this p
Page 136 and 137: Evaporator Condenser Figure 5.8: Av
Page 140 and 141: The last two cases of boundary cond
Page 142 and 143: natural air flow in the system. In
Page 144 and 145: 6 Model Implementation and Validati
Page 146 and 147: x t u x u 0 0 , (6.5) and for a s
Page 148 and 149: Next time step validation were the
Page 150 and 151: The evaporator and condenser both w
Page 152 and 153: Figure 6.2: Evolution of inlet and
Page 154 and 155: Figure 6.4: Evolution of inlet and
Page 156 and 157: temperature is at its maximum level
Page 158 and 159: Bottom Top Figure 6.7: Evolution of
Page 160 and 161: 7 Parameters Analysis of the Evapor
Page 162 and 163: Figure 7.1: Effect of packing size
Page 164 and 165: e 0.45 kPa under natural convection
Page 166 and 167: aspect ratio under constant bed vol
Page 168 and 169: Figure 7.7: Effect of inlet hot wat
Page 170 and 171: well as the time required to reach
Page 172 and 173: Figure 7.10: Effect of packing medi
Page 174 and 175: 40°C respectively. This gives flex
Page 176 and 177: the condensate rate, productivity f
Page 178 and 179: esult, rather than PCM media which
Page 180 and 181: Figure 7.18: Effect of PCM thermal
Page 182 and 183: 8 Optimization of HDH plant In this
Page 184 and 185: The MATLAB model describes how the
Page 186 and 187: less steep than that of the distill
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8.3.4 Effect of hot water flow rate
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storage materials and thus it can h
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for latent heat storage would be ob
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When T m becomes sufficiently highe
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9 Summary and conclusions 9.1 Summa
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productivities at any cooling water
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[13] Vafai K., Sozen M. An investig
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[48] Crone S., Bergins C., and Stra
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[79] Tiwari G.N. and Yadav Y.P. (78
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[109] Mehling H., Hiebler S. and Zi
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[139] Belessiotis V, Delyannis E (2
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Appendices Appendix A A1. PCM Therm
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A3. Constants and Thermo-physical p
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From the above correlation, the con
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The Ergun analogy factor J h repres
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Equation (C.7) represents an overal
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Appendix D D1. Cooling tower theory
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A m w = the plan or cross sectiona
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