Effect of variable heat input on the heat transfer characteristics in an Organic Rankine Cycle system

This is an O Abstract. This paper analyzes the heat transfer characteristics of an ORC evaporator applied on a diesel engine using measured data from experimental work such as flue gas mass flow rate and flue gas temperature. A mathematical model was developed with regard to the preheater, boiler and the superheater zones of a counter flow evaporator. Each of these zones has been subdivided into a number of cells. The hot source of the ORC cycle was modeled. The study involves the variable heat input’s dependence on the ORC system’s heat transfer characteristics, with especial emphasis on the evaporator. The results show that the refrigerant’s heat transfer coefficient has a higher value for a 100% load from the diesel engine, and decreases with the load decrease. Also, on the exhaust gas side, the heat transfer coefficient decreases with the decrease of the load. The refrigerant’s heat transfer coefficient increased normally with the evaporator’s tube length in the preheater zone, and then increases rapidly in the boiler zone, followed by a decrease in the superheater zone. The exhaust gases’ heat transfer coefficient increased with the evaporator’ tube length in all zones. The results were compared with result by other authors and were found to be in agreement.


Introduction
One of the methods to improve the thermal efficiency of an internal combustion engine is the usage of Organic Rankine Cycle systems (ORCs) to recover waste heat.The available heat which, is called waste heat, is transferred to the organic working fluid by means of an evaporator in an ORC, where the organic working fluid changes from a liquid state to a vapor state under a high pressure.Then, the organic working fluid, which has a high enthalpy, is expanded in an expander, and output power is generated.
Since the ORC systems generate additional power without requiring extra fuel, the specific pollutant emissions of the combined plant are reduced.
Engine waste energy is transferred to the organic working fluid by means of an evaporator in an ORC, so the evaporator is an important part of the ORC for an engine waste-heat recovery system.Many studies analyzing ORC performances have been conducted recently [1][2][3][4][5][6][7].Most of these studies have dealt with heat source as a stable source for simplicity.A few studies have dealt with variable heat sources.
Therefore, this study has addressed the variable heat source effect on counter-flow evaporator characteristics.The working fluid R245fa was selected as the working fluid.A mathematical model of the evaporator is developed according to the detailed dimensions of the designed evaporator and the specified ORC working conditions.Finally the model focuses on the influence of the heat source from an internal combustion engine, according to the operation of engine (50-100%) load on the heat transfer characteristics in the Organic Rankine Cycle (ORC).

Mathematical model
The thermodynamic processes in the ORC system as shown in Figure 1 it starts from (1-2) pump process, followed by (2-3) the heat addition process (across the evaporator), the expansion process (3-4) (across the turbine).Before the working fluid returns to point (1) it passes through the condenser process .
In this study, the evaporator was divided into three main zonespreheater, boiler and superheateras shown in Figure 2.This division is not sufficient to determine the heat transfer coefficient, the properties of the evaporator, and so on.Therefore, each evaporator zone was divided into a number of volumes as follows: -The preheater zone was divided into 60 nodes or (N pr À 1) volumes.-The boiler zone was divided into 10 nodes or (N b À 1) volumes.-The superheater zone was divided into 11 nodes or (N sp À 1) volumes.
For each volume, a heat exchange area is defined as: which: A e is the element area; N pr is the number of nodes in the preheater, N b is the number of nodes in the boiler zone, N sp is the number of nodes in the superheater zone.
N ev is the number of nodes in all the evaporator zones.
The evaporator area is equal to the sum of the preheater, boiler and superheater zones.For each evaporator zone there are two sides; refrigerant side and exhaust gas side.Table 1 shows the evaporator model parameters from design.In order to determine the heat transfer coefficients for each zone and for each side we can see the reference [9].
The total power input to the engine (P tot ) is determined by: The engine's mechanical efficiency of (h eng ) is calculated by: The engine's mechanical efficiency combined with ORC (h eng,ORC ) is calculated by: The fuel reduction percentage (FRP) is calculated by: Where LHV is the lower heating value for fuel, P eng is engine power, _ m fuel is the mass flow rate of fuel, W net is the work net for ORC.

Results
Based on the mathematical model, a program has been developed in the software Engineering Equation Solver (EES) [10].The results are presented in Figures 3-6.From Figures 3 and 4 it can be observed that the Reynolds number of exhaust gas decreases with tube length and that the exhaust gas heat transfer coefficient increases with tube length, respectively.
Figure 5 shows that the refrigerant's Reynolds number increases in the preheater zone and decreases in the boiler zone, and returns to an increase in the superheater zone.Figure 6 shows that the heat transfer coefficient of   refrigerant with tube length in the preheater zone increases, then increases suddenly in the boiler zone.Finally, in the superheater zone, the heat transfer coefficient decreases with tube length.Table 2 shows the load variations on ORC performance for R245fa as a working fluid.
The comparison shows a very good agreement between present results and the results in the references [11] and [12], as shown in Table 3.

Conclusions
This paper studied the performance of the evaporator with preheated, boiler and superheater zone.After obtaining the diesel engine exhaust thermal characteristics from the experimental data, the evaporator's mathematical model is built according to the ORC specific working conditions and the evaporator's geometrical parameters.Three typical engine operating conditions are used to estimate the evaporator's heat transfer characteristics.The result shows that, in the evaporator, the working fluid's heat transfer coefficient is much higher than the exhaust side of the engine.The boiler zone's heat transfer rate is higher than the preheater and superheater zones.The fuel reduction percentage for 100% load is 6.048% and for 75% load is 4.294%, but for 50% load it is 2.659%.
One of the authors (M.H.K. Aboaltabooq) acknowledges support from the Ministry of Higher Education and Scientific Research of Iraq through grant and the Romanian Government through

Table 2 .
Effect of load variations on ORC performance.