Ideal-Gas-Project

This simulation will provide first-year engineering undergraduates with hands-on experience of ideal gases. Users explore the behaviour of a closed ideal gas system by setting its thermodynamic state variables/constants (e.g., 𝑝, 𝑉, 𝑇, 𝐸ᵢ, Δ𝑆), applying work and/or heat to the system.

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<sub>The following video displays the simulation of ideal gas behaviour depending on the system variables
* pressure p
* volume V
* temperature T
* internal energy 𝐸ᵢ
* entropy change Δ𝑆</sub>

ideal-gas-simulation-demonstration.mp4

The Application was build in collaboration with three other students, the parts implemented by me are as follows:

• Root-mean-square speed: Calculated the root-mean-square speed of the particles based on temperature or (temperature change) of the gas and scaled the result to match the visual demonstration and to avoid excessive velocities.

  • uᵣₘₛ = sqrt(3RT / M)
    • R: Gas Constant
    • T: Temperature
    • M: Molar mass of gas

• Speed Redistribution: Redistributing the speed each step of the simulation of each particle to match the visual representation of the calculated root-mean-square speed.

• Internal Energy: Calculating the internal energy of the ideal gas based on the temperature each steap of the model based on the changed parameters.

  • Eᵢ = f * 1/2 * n * R * T
    • Eᵢ: Internal Energy
    • f: Degrees of Freedom (of the Particles)
    • n: Mol of gas

• Change of entropy: Calculating the specific heat capacity and the change in entropy depending on the thermodynamic process happening at the moment. Displaying the entropy change in the simulation GUI in a diagram.

  • For isochoric process or |isochoric & isothermal|-process
    • Specific heat capacity cₚ = (f+2) * R/2 * n / m
      • m: Mass of gas
    • Change in entropy Δs = cₚ · ln(T₂/T₁) + Rᵢ · ln(p₂/p₁)
  • For isobaric process or isothermal process
    • Specific heat capacity cᵥ = f * R/2 * n / m
    • Change in entropy Δs = cᵥ · ln(T₂/T₁) + Rᵢ · ln(V₂/V₁)

• Rework of the graphical user interface and the plotting kwargs.

• Fitting the size of the simulation-UI dynamically to the display size of the end user.

• Prevention of polytropic thermodynamic processes by halting the volume change in non-volume relevant modes.

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<sub>Running the Application: (Instructions in German)
Starten des Programms:
1. Installieren von Julia
2. Installieren der nötigen Packages
3. Julia Konsole öffnen
 * Using Pkg
 * Pkg.add("[email protected]")
  - Agents v5.14.0
  - LinearAlgebra
  - GLMakie v0.8.5
  - InteractiveDynamics v0.22.1
  - Observables v0.5.4
4. Mit dem "cd()" command zu dem Verzeichnis navigieren, indem "IdealGas.jl" enthalten ist
5. Include("IdealGas.jl")
6. IdealGas.demo()</sub>