Organic Rankine Cycle Solar-Thermal Powerplants

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Organic Rankine Cycle Solar-Thermal Powerplants ( organic-rankine-cycle-solar-thermal-powerplants )

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xiii Figure 6.4: Storage tank coordinate system and differential control volume ...................96 Figure 6.5: Energy balance on the fluid (left) and solid (right) components of the differential element of the storage tank .............................................................................97 Figure 6.6: The relationship between the utilization (U) and thermocline penetration depth..............................................................................................................101 Figure 6.7: The relationship between NTUfluid and the slope of the thermocline. Higher values of NTUfluid result in steeper thermoclines and thus more efficient thermal storage systems. ..................................................................................................103 Figure 6.8: Storage system exergetic (second law) efficiency as defined in equation 6.3.18.................................................................................................................104 Figure 6.9: Energy balance on the fluid (left) and solid (right) components of the differential element of the storage tank ...........................................................................105 Figure 6.10: Numerical grid used for finite-difference numerical modeling techniques ........................................................................................................................105 Figure 6.11: Flow of fluid plugs in porous bed demonstrating the simplifying assumption which defines fluid plugs to have the same dimension as the control volumes ............................................................................................................................107 Figure 6.12: Comparison of the analytical solution to the Schumann equations with the explicit numerical solution.................................................................................108 Figure 6.13: The simplified explicit solution approaching instability as NTUsum approaches and exceeds 2. ...............................................................................................110

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