Vector Analysis Course
This course equips you with essential vector analysis skills for duct and pipe flows in cylindrical coordinates. Master divergence, gradient, curl, integrals, Stokes’ and divergence theorems, and apply them to heat transport, flux, circulation, while validating models with units, conservation, and Reynolds numbers.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain practical expertise in vector analysis for duct flows, mastering cylindrical coordinates, vector fields, and operators like divergence, gradient, and curl. Evaluate integrals, apply key theorems, and assess heat transport realism using parameters and nondimensional numbers.
Elevify advantages
Develop skills
- Apply divergence, gradient, and curl confidently in cylindrical coordinates.
- Employ Stokes’ and divergence theorems for conservation in duct flows.
- Calculate line and surface integrals for flux and temperature fields.
- Examine heat transport through v·grad T in ducts.
- Conduct dimensional analysis and Reynolds estimates for pipe flows.
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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