Visualizing Temperature Distribution in 3D using MATLAB

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SUMMARY

The discussion focuses on visualizing a three-dimensional temperature distribution T = T(x,y,z) using MATLAB. The user aims to create a 3D plot where colors represent temperature values at corresponding points in a defined n*n*n array. The necessity of maintaining all three Cartesian coordinates for accurate representation is emphasized, despite suggestions to simplify the model by reducing dimensions based on radial symmetry.

PREREQUISITES
  • Understanding of 3D plotting in MATLAB
  • Familiarity with temperature distribution functions
  • Knowledge of Cartesian coordinates
  • Experience with array manipulation in MATLAB
NEXT STEPS
  • Explore MATLAB's 'scatter3' function for 3D plotting
  • Learn about color mapping in MATLAB to represent temperature values
  • Investigate the use of 'meshgrid' for creating 3D coordinate grids
  • Study techniques for optimizing large n*n*n arrays in MATLAB
USEFUL FOR

Researchers, engineers, and data scientists involved in thermal analysis, as well as MATLAB users interested in advanced 3D visualizations of multidimensional data.

russel.arnold
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I have a temperature distribution T = T(x,y,z). I want to visualise it in MATLAB ( such that the colour(s) used by MATLAB in plotting should give me an idea of depth of temperature i.e whether its high or low compared to its neighbouring points).

Please help
 
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A plot of the graph of w = T(x, y, z) requires four dimensions, as you recognize in your title. You might be able to reduce the dimensions required if the temperature decreases radially, so that w = T(r). IOW, if the temperature at any two points the same distance from the origin is the same, you don't need all three coordinates of the point - just one distance.
 
well actually it isnt..I need all the three cartesian coordinates( a must) and i want to visualise it in 3D where colors will depict the value of temperature at corresponding points. So basically i will form a n*n*n array in MATLAB to define T= T(x,y,z)
 

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