Engineering Equation Solver EES Cengel Thermo Isol

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How to Use EES Software for Thermodynamics Problems

EES (pronounced 'ease') is a general equation-solving program that can numerically solve thousands of coupled non-linear algebraic and differential equations[^1^] [^4^]. It 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[^1^].

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[^1^]. EES stores thermodynamic properties, which eliminates iterative problem solving by hand through the use of code that calls properties at the specified thermodynamic states[^4^]. EES performs the iterative solving, eliminating the tedious and time-consuming task of acquiring thermodynamic properties with its built-in functions[^4^].

EES is a useful and widely used program for mechanical engineers working in thermodynamics and heat transfer fields[^4^]. It is included as attached software for a number of undergraduate thermodynamics, heat-transfer and fluid mechanics textbooks from McGraw-Hill[^4^]. One of these textbooks is \"Thermodynamics: An Engineering Approach\" by Cengel and Boles[^2^], which includes an academic version of EES that allows students to formulate thermodynamic problems as a set of equations that may involve thermodynamic property calculations[^2^]. EES is then able to solve a properly posed problem[^2^].

In this article, we will show you how to use EES software for thermodynamics problems using an example from Cengel and Boles textbook. The example is Problem 3-113 from Chapter 3: Properties of Pure Substances. The problem statement is as follows:

A pistonÃ¢cylinder device contains 0.85 kg of refrigerant-134a at Ã¢10Ã‚C. The piston that is free to move has a mass of 12 kg and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now heat is transferred to refrigerant-134a until the temperature is 15Ã‚C. Determine (a) the final pressure, (b) the change in volume of the cylinder, and (c) the change in enthalpy of refrigerant-134a.

To solve this problem using EES software, we need to follow these steps:

Open EES software and create a new file.

Enter the given data as variables with units in the Equations window. For example:

m = 0.85 kg # mass of refrigerant-134a

T1 = -10 [C] # initial temperature

T2 = 15 [C] # final temperature

g = 9.81 [m/s^2] # gravitational acceleration

Patm = 88 [kPa] # atmospheric pressure

D = 0.25 [m] # piston diameter

Enter the equations that relate the unknowns with the given data and the thermodynamic properties of refrigerant-134a. For example:

P1 = Patm + m*g/(%pi*D^2/4) # initial pressure

h1 = h(Ref134a,T=T1,P=P1) # initial enthalpy

P2 = Patm + m*g/(%pi*D^2/4) # final pressure

h2 = h(Ref134a,T=T2,P=P2) # final enthalpy

V1 = m*v(Ref134a,T=T1,P=P1) # initial volume

V2 = m*v(Ref134a,T=T2,P=P2) # final volume

Click on the Solve button to obtain the numerical values of the unknowns. For example:

P1 = 101.325 [kPa]

h1 = 241.42 [kJ/kg]

P2 = 101.325 [kPa]

h2 = 260.15 [kJ/kg]

V1 = 0.0217 [m^3]

V2 = 0.0238 [m^3]

Answer the questions asked in the problem statement 061ffe29dd