High School How to Visualize 3D Surfaces for a PVT Diagram

  • Thread starter Thread starter benorin
  • Start date Start date
  • Tags Tags
    Calc 3 Surfaces
Click For Summary
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
Science Advisor
Insights Author
Messages
1,442
Reaction score
191
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
 
Physics news on Phys.org
Vague question. What are you looking for?
 
mathman said:
Vague question. What are you looking for?
It’s a how to post, not a question
 

Thread 'How does this derivative work? And why the speed of light remains?'

Relativistic Momentum, Mass, and Energy Momentum and mass (...), the classic equations for conserving momentum and energy are not adequate for the analysis of high-speed collisions. (...) The momentum of a particle moving with velocity ##v## is given by $$p=\cfrac{mv}{\sqrt{1-(v^2/c^2)}}\qquad{R-10}$$ ENERGY In relativistic mechanics, as in classic mechanics, the net force on a particle is equal to the time rate of change of the momentum of the particle. Considering one-dimensional...
View full post »

Similar threads

MHB Evaluate the surface integral $\iint\limits_{\sum}f\cdot d\sigma$
  • · Replies 1 ·
Replies
1
Views
3K
Divergence Theorem Verification: Surface Integral
  • · Replies 3 ·
Replies
3
Views
2K
How do I parameterize these surfaces?
  • · Replies 3 ·
Replies
3
Views
2K
Can Anyone Help Me Fix My 3D Space Filling Tree Algorithm?
  • · Replies 4 ·
Replies
4
Views
2K
Sketching level curves and the surface of a sphere
  • · Replies 9 ·
Replies
9
Views
5K
Calc 3-normal lines to surfaces
  • · Replies 5 ·
Replies
5
Views
2K
Flux Calculation for Vertical Cylinder with Top Cut Off
  • · Replies 15 ·
Replies
15
Views
2K
Visualizing higher dimensional spheres
  • · Replies 2 ·
Replies
2
Views
6K
Faraday's law with Calc 3 integration help
  • · Replies 1 ·
Replies
1
Views
2K
Could Surface Integration of z^2=2xy Be Simplified?
  • · Replies 3 ·
Replies
3
Views
9K