Vector Analysis Course
This course equips you with vector analysis expertise 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 principles, and Reynolds number analysis to ensure realistic engineering applications.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
Gain practical skills in vector analysis using cylindrical coordinates, vector fields, and operators for duct flow problems. Master divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, plus heat transport analysis and energy advection, ensuring realism 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 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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