Intermediate Thermodynamics project

  

The project is a video presentation of a PowerPoint. I will need notes in the PowerPoint to read will recording.Using CoolProp

November 13, 2020
Prof. Patrick Lynch, MIE, UIC

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Note: CoolProp is not necessary to solve the project, but for those who are savvy with computers, this software tool can help greatly.

CoolProp is a tool that can help you identify the properties of a thermodynamic state of a real fluid. It is like an automated version of looking up things from the steam tables for many different real fluids.
The main use case is to call a function like this:
PropsSI(“T”,”P”,101325,”Q”,0,”Water”)
to identify the temperature (in K) when given the other properties defining a state (here pressure = 101325 Pa and quality 0.). The real fluid in this case is water, but others are available here.
This results in 373.12…, which is the saturated temperature (in K) of water at 1atm.
CoolProp is powerful because it can also produce other properties like enthalpy, density, entropy. Details on that, including variable names, are available here.
Installing and using CoolProp is very easy, both for a Windows environment, i.e. using excel, and for more advanced users, using python, Matlab, etc. More details are available here.
One should be able to get CoolProp to work for Excel in less than 5 minutes without any special knowledge.
The Windows installer with binaries are available here.
It is recommended to install the tool using the defaults (including Excel plugin, but not including EES, which you may not have on your machine). It should work automatically, but potentially one might have trouble, see here.
You can open an excel spreadsheet, and the PropsSI function becomes available for adding into cells.
For more advanced users, using python, a package is available in anaconda on conda-forge channel here.
conda install conda-forge::coolpropAdditional hints on solving the project problem
27 Nov 2020
Mathematical background
1) You can use the first law analysis of open systems in order to write down the equations for net power generation in the combined cycle and efficiency. It will be a set of simple equations with many unknown parameters. (i.e. the enthalpies of many states, e.g. 8-11, the mass flow rates, etc.)
2) You will notice immediately that you have many more unknown variables than known or given parameters. You will need to formulate a system of equations to solve the problem. For a well constrained/defined system, you will end up with the same number of equations and unknown variables. Some of these equations you can write explicitly (like using the first law of thermodynamics in an open system to link power, mass flow rates, and enthalpy differences). Other properties are linked by fluid-specific equations, which may be tabulated (like an equation of state that links the pressure, density, and temperature of a fluid).
3) Eventually, you will find that you need to know four additional parameters in order to close the system (i.e. have a number of unknowns equal to the number of equations). These four parameters in this project are given to be P2/P1 , T8 , P8 , and P9. This is a selection that was made for you, so that the problem be more tractable. After this point, you will need to guess values of these four parameters (P2/P1, T8 , P8 , and P9) in order to solve the cycle. Different choices for these parameters will lead to different solutions for the cycle. In principle, some choice of these parameters would lead to maximum values for power and efficiency, but finding that choice is not trivial (it involves an iterative process, that is frequently used in engineering). But remember, in all cases, all your parameters would have to satisfy the equations that apply for the problem.
4) For the purposes of this project, you might just try a few iterations to observe trends (even if you have …

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