BIOLOGICAL FLUID MECHANICS

CONTENT

This course contains; Continuum, Fluid Properties, Hydrostatics,Bernoulli Equation, Energy Grade Line,Control Volumes, Mass Conservation,Momentum Conservation,Viscous Flow, Laminar Pipe Flow,Dimensional Analysis, Similarity,Friction Factor, Pipe Networks,Cardiovascular System, Rheology, Pulsatile Flow,Arterial Bifurcations, Elastic & Collapsible Tubes,Pathological Flows (Stenosis, Aneurysms, Valves),Low Reynolds Number, Stokes Drag,Swimming Microorganisms,Transport Phenomena, Microfluidics,Biomedical Applications.

1. 1

   Apply the integral forms of conservation laws (mass, momentum, and energy) to solve problems involving biological fluid flows and hydrostatic systems.

   Taught by: Problem Solving Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

2. 2

   Analyze internal viscous flows and piping networks using the Bernoulli equation, friction factors, and dimensional analysis.

   Taught by: Problem Solving Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

3. 3

   Evaluate the impact of non-Newtonian blood properties and pulsatile flow dynamics on arterial hemodynamics.

   Taught by: Problem Solving Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

4. 4

   Analyze the mechanics of flow in compliant vessels, specifically relating wave propagation in elastic arteries to flow limitation in collapsible tubes.

   Taught by: Problem Solving Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

5. 5

   Evaluate the hemodynamic consequences of pathological vessel geometries (e.g., aneurysms, stenoses) and heart valves on pressure drops and shear stress distributions.

   Taught by: Problem Solving Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

6. 6

   Apply the concepts of Resistive Force Theory to simple microswimmer models to estimate drag and propulsion.

   Taught by: Problem Solving Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

7. 7

   Explain fundamental transport mechanisms—diffusion and advection—and their roles in microfluidic systems.

   Taught by: Problem Solving Method, Lecture Method · Assessed by: Traditional Written Exam, Homework

WEEKLY PLAN

1. WEEK 1

   Continuum, Fluid Properties, Hydrostatics

2. WEEK 2

   Bernoulli Equation, Energy Grade Line

3. WEEK 3

   Control Volumes, Mass Conservation

4. WEEK 4

   Momentum Conservation

5. WEEK 5

   Viscous Flow, Laminar Pipe Flow

6. WEEK 6

   Dimensional Analysis, Similarity

7. WEEK 7

   Friction Factor, Pipe Networks

8. WEEK 8

   Cardiovascular System, Rheology, Pulsatile Flow

9. WEEK 9

   Arterial Bifurcations, Elastic & Collapsible Tubes

10. WEEK 10

    Pathological Flows (Stenosis, Aneurysms, Valves)

11. WEEK 11

    Low Reynolds Number, Stokes Drag

12. WEEK 12

    Swimming Microorganisms

13. WEEK 13

    Transport Phenomena, Microfluidics

14. WEEK 14

    Biomedical Applications

ASSESSMENT

• Rate of Midterm Exam to Success30%
• Rate of Final Exam to Success70%

WORKLOAD

READING

• White, F. M. Fluid Mechanics. 9th ed. New York: McGraw‑Hill Education, 2021. Ku, D. N. “Blood Flow in Arteries.” Annual Review of Fluid Mechanics 29 (1997): 399–434. doi:10.1146/annurev.fluid.29.1.399 Pedley, T. J. The Fluid Mechanics of Large Blood Vessels. Cambridge: Cambridge University Press, 1980. Lauga, E. The Fluid Dynamics of Cell Motility. Cambridge: Cambridge University Press, 2020. Happel, J., and H. Brenner. Low Reynolds Number Hydrodynamics. The Hague: Martinus Nijhoff, 1983.

TEACHING STAFF

• Assist.Prof. Hakan Osman ÇALDAĞCOORDINATOR
• Assist.Prof. Hakan Osman ÇALDAĞ