Vector Analysis Course
Gain expertise in vector analysis tailored to duct and pipe flows. Link divergence, gradient, and curl in cylindrical coordinates to heat transport, flux, and circulation. Validate models using physical units, conservation principles, and Reynolds number analysis for realistic applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This practical course develops skills in vector analysis using cylindrical coordinates, vector fields, and operators for duct flow applications. Learners will master divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, plus heat transport and energy advection analysis, validated by parameters and dimensionless numbers.
Elevify advantages
Develop skills
- Apply divergence, gradient, and curl confidently in cylindrical coordinates.
- Employ Stokes’ and divergence theorems to verify conservation in duct flows.
- Calculate line and surface integrals for flux, circulation, and temperature distributions.
- Examine heat transport through velocity dot gradient of temperature in ducts.
- Conduct dimensional analysis and Reynolds number calculations for pipe flow realism.
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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