Vector Analysis Course
This course equips you with essential vector analysis skills for duct and pipe flows in cylindrical coordinates. Learn to apply divergence, gradient, curl for heat transport, flux, and circulation, while validating models using physical units, conservation laws, and Reynolds number analysis to ensure realism.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain practical expertise in vector analysis using cylindrical coordinates, vector fields, and differential operators for duct flow applications. Master divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, heat transport analysis, energy advection, and validation via parameters and nondimensional 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 profiles.
- Examine heat transport through v·grad T and duct temperature gradients.
- Conduct dimensional analysis and Reynolds number checks 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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