Q.E.D. — quod erat demonstrandum · every step shown, every result verifiedJournal · ISSN pending · Crossref DOI member
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Fluid Mechanics

Six modules from fluid properties to research level. Lessons marked notes open a complete written treatment — derivation, reasoning, worked example. Module 6 reaches current research territory: MHD and hybrid nanofluid boundary-layer flows.

Module 1 — Fluid Properties & Statics

Advanced
  1. What is a fluid? The continuum hypothesisnotes
  2. Viscosity and Newton's law of viscositynotes
  3. Hydrostatic pressure: full derivationnotes
  4. Manometers and forces on submerged surfaces (notes coming)20 min

Module 2 — Fluid Kinematics

Advanced
  1. Lagrangian vs Eulerian descriptions (notes coming)14 min
  2. The material derivativenotes
  3. Streamlines, pathlines and streaklines (notes coming)12 min

Module 3 — Conservation Laws

Advanced
  1. The continuity equation: derivationnotes
  2. Bernoulli's equation: derivation and limitsnotes
  3. Linear momentum and forces on bends (notes coming)22 min

Module 4 — Viscous Flow in Pipes

Advanced
  1. Reynolds number and flow regimesnotes
  2. Hagen–Poiseuille: full derivationnotes
  3. Darcy–Weisbach and the Moody chart (notes coming)22 min

Module 5 — Boundary Layers

Advanced
  1. Prandtl's boundary-layer conceptnotes
  2. The Blasius flat-plate solutionnotes
  3. Separation and adverse pressure gradients (notes coming)18 min

Module 6 — MHD & Nanofluid Flows

Research
  1. MHD: the Lorentz force in fluid flownotes
  2. Similarity transformations: the stretching sheetnotes
  3. Nanofluid and hybrid nanofluid modelsnotes
  4. Heat transfer over a stretching sheetnotes
  5. Shooting method and bvp4cnotes