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# 数学代写|随机过程Stochastic Porcesses代考|STAT6540 Optimization of a Heat Exchanger

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## 数学代写|随机过程Stochastic Porcesses代考|Description of the Problem

In this first case of study, a stream of ethanol is cooled, using water as cooling fluid. The process occurs in a counter-current heat exchanger, where ethanol enters the equipment at $60^{\circ} \mathrm{C}$, and it is desired to obtain an output temperature of $30^{\circ} \mathrm{C}$. The ethanol stream has a mass flow rate of $100 \mathrm{~kg} / \mathrm{h}$. The required flow rate of water $\left(w_{C}\right)$ is unknown, and it is directly related to the change of temperature of the water stream. Nevertheless, to obtain an initial design for the exchanger, a flow rate of $100 \mathrm{~kg} / \mathrm{h}$ is assumed for the cooling stream. A simplified representation of the process is shown in Figure 5.1.

## 数学代写|随机过程Stochastic Porcesses代考|Initial Simulation

The equipment described in Section 5.4.1 has been simulated in Aspen Plus V30.0. First, the components involved in the process (ethanol and water) are defined in the Components-Specifications sheet (Figure 5.2). Then, the Next button is pushed to move to the Methods-Specifications sheet, where a thermodynamic method is selected to model the phase equilibrium. This sheet can also be reached by navigating in the menu located at the left of the screen. Here, the nonrandom two-liquid (NRTL) model has been selected to represent the liquid mixture, combined with the Redlich-Kwong equation to represent the gas phase (Figure 5.3). By pushing the Next button, the screen shown in Figure $5.4$ appears where the set of binary parameters is shown for the components of interest. In this case, all the parameters are available in the database; thus, it is possible to directly move to the next step. If the Next button is pushed, the simulator offers the alternative of performing a test for the properties calculations. It is highly recommendable to perform such a test to ensure that the simulation environment has all the required data to compute the physical properties of the components of interest. Once the test for properties is performed, it is possible to move to the simulation section. In the simulation environment, a blank flowsheet appears. Thus, it is necessary to insert the required process equipment. Aspen Plus includes a library with different process equipment, such as mixers, separators, and columns.

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