Course

Module-1

Review of Concepts in Fluid Mechanics, Kinematics, Hydrostatics, Conservation relations, Viscous Flow, Unsteady Flow; Review of Concepts in Solid Mechanics.
Heart: Anatomy, Cardiac cycle, circulatory systems, pressure, flow chamber volume and work, Cardiac Muscle, Heart Sounds, Coronary Circulation, Cardiac Conduction, ECG and Wiggers diagram.
Hemodynamics: Hematology and Blood Rheology, Composition of Blood, Viscosity of Blood, Constitutive equations, Power Law Model, Herschel-Bulkley Model, Casson Model, Fahraeus and Fahraeus–Lindqvist Effects, Effective viscosity.
Arterial system: Structure of Arteries, Venous System Physiology, Venous Pump, Mechanics of Arterial Walls, Compliance.

Module-2

Macro circulation System: Systemic and Pulmonary circulations, Arteries, Veins, Vascular Bifurcations and Branches, Blood Flow through Curved Vessels. Steady Blood Flow, Applications of Bernoulli equation, Arterial Stenosis, Arterial Aneurysm, Cerebral Aneurysm, Cardiac Valve Stenosis, Applications of Poiseuilli’s Law, Gorlin equation, Fluid friction, Rigid Tube Flow Models, Entrance Length, Transition Reynolds number, Casson model steady blood flow. Unsteady blood flow, Wind kessel model, Continuum Models for Pulsatile Flow Dynamics, Wave Propagation in the Arterial System; Pulsatile Flow in Rigid Tubes: Wormersley Solution, Fry Solution; Hemodynamic Theories of Atherogenesis, Flow through Curved Arteries, Bifurcations, Stenoses and Aneurysms ; Effect of Viscoelasticity of Tube Material; Flow in Collapsible Tubes, Turbulence, In stability in Pulsatile Flow. Micro circulation System : Blood flow in small vessels, Arterioles, Capillaries, interstitial fluid flow; Venules, Mass Transportin Tissue, Krogh model of oxygen diffusion, Porosity, Tortuosity and Permeability, Governing Equations in Porous Media, Fluid Transport in Poroelastic Media, Bioheat Transfer.

Module-3

Bio fluid Dynamics in Human Organs : Lung and Respiratory System, Kidney, Liver, Brain, Intraocular System, Endocrine System Bio fluids.
Native Heart Valves : Aortic and Pulmonary Valves, Mitral and Tricuspid Valves.
Biofluid Flow in Artificial, Assistive and Implantable Devices, Lumped Parameter Mathematical Models. Computational Fluid Dynamic Analysis of the Human Circulation: Modelling Considerations for Biofluid Mechanical Simulations, Generation of grid from scanned images, CFD Simulations in the Human Circulation, Multiscale Modelling. Fluid Structure Interaction Modelling, Future Directions of Biofluid Mechanics.

• CO1 : Fluid and solid mechanics that are pertinent to blood flow in the heart and blood vessels.
• CO2 : Hematology, Blood Rheology and models for Viscosity of Blood, Structure of Arteries and Veins.
• CO3 : Microcirculation System, interstitial fluid flow, mass and heat transport biofluid Dynamics in Human Organs,
• CO4 : Analysis of blood flow in Native Heart Valves and Implantable Devices
• CO5: Computational Fluid Dynamic Analysis of the Human Circulation Fluid Structure Interaction Modelling

• Krishnan B. Chandran, Stanley E. Rittgers, Ajit P. Yoganathan, Biofluid Mechanics : The Human Circulation, 2e,CRC Press, 2012.
• Nihat Ozkaya, Margareta Nordin, “Fundamentals of Biomechanics : Equilibrium, Motion, and Deformation”, Springer, 3^rd Edition,Verlag,2012.
• David A Rubenstein, Wei Yin and Mary D Frame, Biofluid Mechanics, Academic Press (Elsevier), 2013
• Ross Ethier and Craigg A. Simmons, Introductory Biomechanics, Cambridge texts in Biomedical Engineering, 2007.
• Kleinstreuer, Biofluid Dynamics : Principles and Applications, CRC Press, Taylor & Francis Group, 2006.
• Y Cengel and J Cimbala, Fluid Mechanics: Fundamentals and Applications, 4e, McGraw-Hill,2018.