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Chapter 4: Modeling Single-phase Forced convection heat transfer coefficients are evaluated by means of the non-dimensional relationship: Nu=C⋅Ren⋅Prn where the influence of temperature-dependent viscosity is neglected. (30) The exponents m and n are set according to recommendations for corrugated plate heat exchangers. m depends mainly on the flow regime (laminar or turbulent) and ranges between 0.5 and 0.8. n is generally set to 1/3. The coefficient C can be either identified from scientific literature on plate heat exchangers (e.g. (Muley & Manglik, 1999) (Thonon B., 1995)), or identified with experimental data, by minimizing the difference between predicted and measured values for a set of working points. Because of the large differences between Reynolds numbers, this coefficient is assigned different values for the vapor and liquid zones (refrigerant side) and for the secondary fluid. Neglecting the port and acceleration pressure drops, the friction pressure drop is computed by: 2⋅f⋅G2 Δp= Dh⋅ρ⋅L (31) where f is the Fanning friction factor (either identified, or calculated with a correlation), G is the mass velocity, Dh is the hydraulic diameter ( =2⋅b for plates heat exchangers), ρ is density and L is the plate length. Two-phase Scientific literature covering two-phase flows in plate heat exchangers is still limited. While a few correlations have been established both for the condensation and evaporation processes, these correlations lead to very high discrepancies in the prediction of the heat transfer coefficient. (García- Cascales et al., 2007) compared 4 boiling heat transfer correlations 5 condensation heat transfer correlations and showed that the predicted coefficients can vary in a ratio as high as 1 to 7. The Boiling heat transfer Coefficient is estimated with an expression inspired by the Hsieh correlation (Hsieh & Lin, 2002), established for the boiling of refrigerant R410a in a vertical plate heat exchanger. This heat exchange coefficient is assumed to be constant during the whole evaporation process and is calculated by: htp ,ev=C⋅hl⋅Bo0.5 (32) where Bo is the boiling number and hl is the all-liquid non-boiling heat transfer coefficient (Eq. 30) 14PDF Image | Organic Rankine Cycles for Waste Heat Recovery and Solar Uses
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