The Tables menu contains commands to set up and alter the contents of the Parametric and Lookup Tables and to do linear regression on the data in these tables. The Parametric Table, similar to a spreadsheet, allows the equation set to be solved repeatedly while varying the values of one or more variables. The Lookup table holds user-supplied data which can be interpolated and used in the solution of the equation set.

The basic capability provided by EES is the solution of a set of non-linear algebraic equations. To demonstrate this capability, start EES and enter this simple example problem in the Equations window. Note that EES makes no distinction between upper and lower case letters and the ^ sign (or **) is used to signify raising to a power.


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A simple thermodynamics problem will be set up and solved in this section to illustrate the property function access and equation solving capability of EES. The problem, typical of that which may be encountered in an undergraduate thermodynamics course, is as follows.

The values of T1, P1, A1, Vel1 and P2 are known. There are nine unknowns: A2, m1, m2, Vel2, h1, v1, h2, v2, T2. Since there are 9 equations, the solution to the problem is defined. It is now only necessary to solve the equations. This is where EES can help.

Start EES and select the New command from the File menu. A blank Equations window will appear. Before entering the equations, however, set the unit system for the built-in thermophysical properties functions. To view or change the unit system, select Unit System from the Options menu.

After entering the equations for this problem and (optionally) checking the syntax using the Check/Format command in the Calculate menu, the Equations window will appear as shown. Comments are normally displayed in blue on a color monitor. Other formatting options are set with the Preferences command in the Options menu.

EES will check the unit consistency of the equations that you enter. The units of numerical constants can be entered directly after the value. The units of variables can be entered in the Solution window, in the Variable Information dialog and in several other places. Note the use of the Convert function in this example to convert the units of the specific kinetic energy [m^2/s^2] to the units used for specific enthalpy [kJ/kg]. The Convert function is most useful in these problems.

It is usually a good idea to set the guess values and (possibly) the lower and upper bounds for the variables before attempting to solve the equations. This is done with the Variable Information command in the Options menu. Before displaying the Variable Information dialog, EES checks syntax and compiles newly entered and/or changed equations, and then solves all equations with one unknown. The Variable Information dialog will then appear.

With nonlinear equations, it is sometimes necessary to provide reasonable guess values and bounds in order to determine the desired solution. (It is not necessary for this problem.) The bounds of some variables are known from the physics of the problem. In the example problem, the enthalpy at the outlet, h_2, should be reasonably close to the value of h_1. Set its guess value to 100 and its lower bound to 0. Set the guess value of the outlet specific volume, v_2, to 0.1 and its lower bound to 0. Scroll the variable information list to bring Vel2 into view. The lower bound of Vel2 should also be zero.

To solve the equation set, select the Solve command from the Calculate menu. An information dialog will appear indicating the elapsed time, maximum residual (i.e., the difference between the left-hand side and right-hand side of an equation) and the maximum change in the values of the variables since the last iteration. When the calculations are completed, EES displays the total number of equations in the problem and the number of blocks. A block is a subset of equations which can be solved independently. EES automatically blocks the equation set, whenever possible, to improve the calculation efficiency, as described in Appendix B. When the calculations are completed, the button will change from Abort to Continue.

By default, the calculations are stopped when 100 iterations have occurred, the elapsed time exceeds 60 sec, the maximum residual is less than 10-6 or the maximum variable change is less than 10-9. These defaults can be changed with the Stop Criteria command in the Options menu. If the maximum residual is larger than the value set for the stopping criteria, the equations were not correctly solved, possibly because the bounds on one or more variables constrained the solution. Clicking the Continue button will remove the information dialog and display the Solution window shown on the next page. The problem is now completed since the values of T_2, m_2, and Vel_2 are determined.

The Parametric Table works much like a spreadsheet. You can type numbers directly into the cells. Numbers which you enter are shown in black and produce the same effect as if you set the variable to that value with an equation in the Equations window. Delete the P_2 =300 [kPa] equation currently in the Equations window or enclose it in comment brackets { }. This equation will not be needed because the value of P_2 will be set in the table. Now enter the values of P_2 for which T_2 is be determined. Values of 100 to 550 have been chosen for this example. (The values could also be automatically entered using Alter Values in the Tables menu or by using the Alter Values control at the upper right of each table column header, as explained in Chapter 2.) The Parametric Table should now appear as shown below.

This example problem illustrates some of the capabilities of EES. With this example behind you, you should be able to solve many types of problems. However, EES has many more capabilities and features, such as curve-fitting, uncertainty analyses, complex variables, arrays. EES will change the way you work and the way you think. If you routinely solve equations, EES is for you. EES is a general equation- solving program capable of solving hundreds of non-linear algebraic and differential equations. EES has built-in functions for the thermodynamic and transport properties of many substances and the capability for you to easily add your own functions. EES can do regression and optimization. The plotting capability in EES is often claimed to be as good or better than stand-alone plotting programs. EES: Engineering Equation SolverOrder Now

Engineering Equation Solver (EES) is a commercial software package used for solution of systems of simultaneous non-linear equations. It provides many useful specialized functions and equations for the solution of thermodynamics and heat transfer problems, making it a useful and widely used program for mechanical engineers working in these fields. EES stores thermodynamic properties, which eliminates iterative problem solving by hand through the use of code that calls properties at the specified thermodynamic properties. EES performs the iterative solving, eliminating the tedious and time-consuming task of acquiring thermodynamic properties with its built-in functions.

EES also includes parametric tables that allow the user to compare a number of variables at a time. Parametric tables can also be used to generate plots. EES can also integrate, both as a command in code and in tables. EES also provides optimization tools that minimize or maximize a chosen variable by varying a number of other variables. Lookup tables can be created to store information that can be accessed by a call in the code. EES code allows the user to input equations in any order and obtain a solution, but also can contain if-then statements, which can also be nested within each other to create if-then-else statements. Users can write functions for use in their code, and also procedures, which are functions with multiple outputs.

EES (pronounced 'ease') is a general equation-solving program that can numerically solve thousands of coupled non-linear algebraic and differential equations. The program can also be used to solve differential and integral equations, do optimization, provide uncertainty analyses, perform linear and non-linear regression, convert units, check unit consistency, and generate publication-quality plots. A major feature of EES is the high accuracy thermodynamic and transport property database that is provided for hundreds of substances in a manner that allows it to be used with the equation solving capability.

I would like to know if it is possible to couple c++ and ees (engineering equation solver). In fact, i would like to calculate thermophysical properties of the water by calling a function from ees in c++ and what are the steps to follow. For now, i am calculating the properties in ees and inserting them in c++ via a .txt file, but it would be better if i call a function directly from ees. I am using the following code to read the file and assign the columns to a 2d vector.

Here is a description of EES:


EES (pronounced 'ease') is an acronym for Engineering Equation Solver. The basic function provided by EES is the solution of a set of algebraic equations. EES can efficiently solve thousands of coupled non-linear algebraic equations. EES can also be used to solve initial value differential equations. EES provides publication-quality plots, linear and non-linear regression, optimization, unit conversion and consistency checking, and uncertainty analyses. Built-in functions are provided for thermodynamic and transport properties of many substances, including steam, air, refrigerants, cryogenic fluids, JANAF table gases, hydrocarbons and psychrometrics. Additional property data can be added. EES also allows user-written functions, procedures, modules, and tabular data.


EES can be downloaded to a personal computer from the EES Information Website. The instructions for how to do this can also be found on the College of Engineering EES website. 2351a5e196

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