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where Re is Reynolds Number and Pr is Prandtl Number. The velocity of the water as for both geothermal source and cooling water is calculated as follows: ̇ (16) ̇ is the water volumetric flow rate, w and are the width of the plate and the clearance at where the water side, respectively. N represents the number of the plates. The power required for geothermal water circulation pump is simply represented as a function of the pressure drop as follows: ̇ ̇ (17) represents the pressure drop which is calculated using the (18) Here, F is the friction factor and l is the heat exchanger plate length. For the organic fluid heat transfer coefficient at the evaporator, considering isobutane as the working fluid in the organic Rankine cycle, the following correlations are used [6, 7] { ⁄ (19) where H represents the ratio between sensible heat and latent heat. is the pressure factor and is presented as a function of the critical pressure and the atmospheric pressure as follows: [() ]() (20) Here, X in the Nusselt correlation is a dimensionless parameter that is calculated as follows: √⁄ (21) where M is a constant value equals 6.129 m2/N.s, is the equivalent diameter at the organic fluid side of the evaporator and is equal to double the clearance of the plate at the organic fluid side. For the convection heat transfer coefficient of the organic fluid at the condenser, the following correlation is used [24, 26]: (22) where Bo is Bond number, L is a dimensionless value that is function of the heat exchanger plate parameters and is calculated as follows: is the pump efficiency and where following formula: 6PDF Image | Exergoeconomic Analyses and Optimization of Geothermal ORC
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