How to Visualize 3D Surfaces for a PVT Diagram

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SUMMARY

This discussion focuses on the visualization of 3D surfaces for a Pressure-Volume-Temperature (PVT) diagram, specifically the plane defined by the equation 2x + 2y + z = 6. Participants describe a method to visualize this surface by drawing traces in the coordinate planes, such as setting z=0 to derive the equation 2x + 2y = 6 in the xy-plane. The conversation emphasizes practical steps for creating accurate visual representations of complex surfaces.

PREREQUISITES
  • Understanding of 3D coordinate systems
  • Familiarity with linear equations and their graphical representations
  • Basic knowledge of PVT relationships in thermodynamics
  • Experience with visualization tools or software for 3D modeling
NEXT STEPS
  • Research techniques for visualizing 3D surfaces using software like MATLAB or Python's Matplotlib
  • Learn about the implications of PVT relationships in reservoir engineering
  • Explore advanced methods for surface plotting, such as contour plots and mesh grids
  • Investigate the use of CAD tools for creating detailed 3D models of PVT diagrams
USEFUL FOR

This discussion is beneficial for engineers, data scientists, and students involved in thermodynamics, particularly those focused on visualizing complex mathematical surfaces and PVT relationships.

benorin
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TL;DR
How to visualize 3-d surfaces in a test friendly manor
1. Fold in half the long way
8C3B63F5-0397-4C14-B408-AF0C7B8C5B47.jpeg

2. Fold in half the short way

53BE26D0-C33C-4FEE-86DD-29C59E96FA10.jpeg

3. Unfold paper, grasping the left side horizontal crease, bend the paper as shown by making the left crease flush with the bottom vertical crease and crease along the -45 degree bend (not shown)

46A766D2-4969-4B6C-A39C-9150D956FC83.jpeg


4. This is the visualization for the plane
2x+2y+z=6, made by drawing traces of the given surface in the coordinate-planes. For example, in the xy-plane set z=0 to get 2x+2y=6.
DFD72ACE-D5AC-4430-A283-778E68A88464.jpeg
 
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