Vector Analysis Course
This course equips you with vector analysis skills for duct and pipe flows in cylindrical coordinates. Learn divergence, gradient, curl applications, integrals, theorems for conservation, heat advection via v·grad T, and model validation using units, Reynolds numbers, and physical realism checks.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain practical mastery in vector analysis using cylindrical coordinates for duct flows. Master vector fields, divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, plus heat transport analysis and physical checks with parameters and nondimensional numbers.
Elevify advantages
Develop skills
- Apply divergence, gradient, curl confidently in cylindrical coordinates.
- Employ Stokes’ and divergence theorems for conservation in duct flows.
- Evaluate line and surface integrals for flux, circulation, temperature.
- Analyse heat transport with v·grad T and duct temperature gradients.
- Conduct dimensional analysis and Reynolds estimates for pipe flows.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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