Vector Analysis Course
This course teaches vector analysis for duct and pipe flows, linking divergence, gradient, and curl in cylindrical coordinates to heat transport, flux, and circulation. Students learn to validate models using physical units, conservation laws, and Reynolds number checks, building practical skills for engineering applications in fluid dynamics and heat transfer.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain practical skills in vector analysis for duct flows, covering cylindrical coordinates, vector fields, divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, heat transport, energy advection, and validation with parameters and nondimensional numbers like Reynolds.
Elevify advantages
Develop skills
- Apply divergence, gradient, and curl confidently in cylindrical coordinates.
- Use Stokes’ and divergence theorems to verify global conservation in duct flows.
- Compute line and surface integrals for flux, circulation, and temperature fields.
- Analyze heat transport through v·grad T and interpret temperature gradients in ducts.
- Conduct dimensional checks and Reynolds number estimates for realistic 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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