1. Lecture 3 Advanced Features in EES By Mary shanti Emai:mpampa1@lsu.edu Phone:389-2963 Department of mechanical Engineering Louisiana State University

2. Advanced Features in EES Integration and Differential Equations Table-based integral function Equation-based integral function Build-in Functions Mathematical functions String functions Thermophysical property functions

3. Integral Function EES has a function called INTEGRAL function which can be used to evaluate an integral and solve differential equations. The format of integral function is

4. Two Basic Forms of Integral Function There are two basic forms of the integral function: Table-based integral function Equation-based integral function

5. Table-based integral function Table-based Integral function uses the Parametric table to provide the limits and step size of the integration variable. The integral variable, t, must be a legal variable name has values defined in one of the columns of the table The integrand, f, can be a variable or expression of variables, values, and t.

6. Equation-Based Integral Function Equation-based integral function does not require the use of Parametric table. The format is F=Integral(f, t, t 1, t 2, tStep) or F=Integral(f, t, t 1, t 2 ), where t1 and t2 are the lower an upper limits of the integration variable, tStep is the increment EES will use for the integration. If tStep is not provided, EES will use automatic step size.

7. Differential Equations Any kind of first order differential equations can be rewritten as Where y 0 is the initial value of y