Course syllabus

Study Guide - Cardiovascular Fluid Mechanics (8VM00)

 

Responsible lecturer:     prof. dr. ir. F.N. van de Vosse

Co-lecturer:                       dr. ir. M.C.M. Rutten

 

 

Course material (see Modules):

  • Lecture notes
  • Computational models and exercises
  • Matlab programs
  • Old exams
  • Answers

 

 

Schedule:

  • Lectures 1 and 2. General introduction (chapter 1)
    • Short introduction into the physiology of the cardiovascular system
    • Pressure and flow waves, complex notation
    • Windkessel model

 

  • Lectures 3, 4 and 5. Newtonian flow in straight blood vessels (chapter 2)
    • (Dimensionless) Navier Stokes equations
    • Velocity profiles for small, large and arbitrary Womersley numbers
    • Wall shear stress and vascular impedance
    • Entrance flow

 

  • Lectures 6 and 7. Newtonian flow in tapered, curved and branched blood vessels (chapter 3)
    • Influence of tapering on entrance flow
    • Boundary layers (flow, separation, measures of thickness)
    • Influence of curvature on flow (streamline patterns, Dean number)

 

  • Lecture 8, 9 and 10. Wave phenomena in blood vessels (chapter 4)
    • Vessel wall mechanics
    • One-dimensional wave equations
    • Wave propagation for small, large and arbitrary Womersley numbers
    • Wave reflection at discrete transitions and bifurcations

 

  • Lecture 11 and 12. Non-Newtonian flow in blood vessels (chapter 5)
    • Composition and rheological properties of blood
    • Constitutive equations for Newtonian fluid
    • Constitutive equations for generalized Newtonian fluids (power-law model, Carreau-Yasuda model)
    • Constitutive equations for viscoelastic fluids (upper convected Maxwell model)

 

  • Lecture 13. Flow patterns in the micro-circulation (chapter 6)
    • Velocity profiles, flow and blood cell concentration in small blood vessels
    • Velocity profiles, flow and blood cell concentration in arterioles and venules
    • Flow in the microcirculation

 

  • Lecture 14. Mass transfer at the interface of blood and vessel wall (chapter 7)
    • Convection-diffusion equation
    • Concentration boundary layer
    • Mass transfer under steady and unsteady flow

 

Chapter numbers refer to both ‘Lecture notes’ and ‘Computational models and exercises’. Working with the computational models (short Matlab programs) is strongly recommended as this greatly helps in gaining insight and mastering the theory. The exercises are taken from old exams and thus prepare you for your exam.

 

 

Written exams:

November 6:      9:00 AM

January 29:         6:00 PM