1. Basics of fluid mechanics: (10 hours)
Conservation of mass, momentum, energy,
The Navier Stokes Equation,
Non-dimensionalisation of the Navier-Stokes equation,
Stokes Equations,
Greens function for a point force,
Integral solutions to the Stokes equation,
2. External flows: (10 hours)
Flagellar propulsion - Lighthill’s theorem,
Metachronal waves in cilia,
Swimming of fish,
3. Internal flows: (10 hours)
Blood flow in arteries,
Flows in the lung airways,
Ocular fluid mechanics,
4. Biomedical applications of fluid mechanics: (6 hours)
Biomedical implants,
Biomicrofluidics,

To introduce fluid mechanics concepts relevant to biological contexts

To familiarize students with various applications of fluid mechanics to zoological and physiological systems

To equip students with the skills needed to analyze biological and biomedical systems where fluid flows play an important role.

CO1: Understand the basic concepts of fluid mechanics such as conservation laws
CO2: Apply the concepts of fluid mechanics to microscale flows
CO3: Analyze external flow problems in biological contexts such as flagellar and fish propulsion
CO4: Analyze internal flow problems in physiological systems such as arteries and lungs
CO5: Understand the basic application of fluid mechanics in biomedical devices

James Lighthill, Mathematical Biofluiddynamics, SIAM , 1st Edition, In Print as of 2025, Softcover available from SIAM

David A. Rubenstein, Wei Yin, and Mary D. Frame, Biofluid mechanics: an introduction to fluid mechanics, macrocirculation, and microcirculation, Elsevier , 3rd Edition, In Print as of 2025, Paperback available from Elsevier

Clement Kleinstreuer, Biofluid Dynamics: Principles and Selected Applications, CRC Taylor and Francis

Ronald L. Panton, Incompressible Flow, Wiley