Fluid Mechanics

This section covers the Navier-Stokes equations, focusing on fundamental concepts like mass conservation, momentum equations, and simplifications for incompressible flow.

Navier-Stokes Equation Part 2

In this section, the Navier-Stokes equations are analyzed further, focusing on simplifying assumptions for incompressible flows and their implications in fluid mechanics.

Approximations Of Navier-Stokes Equations

This section discusses the approximations of the Navier-Stokes equations to simplify fluid flow analysis for incompressible Newtonian fluids.

Assumptions In Fluid Equations

The section discusses the fundamental assumptions made when deriving fluid equations, particularly the Navier-Stokes equations, and their implications for fluid dynamics.

Simplifications For Analytical Solutions

This section discusses the simplifications and assumptions necessary for deriving analytical solutions to the Navier-Stokes equations.

Euler Equations And Bernoulli's Equations

This section covers the derivation of Euler equations from Navier-Stokes equations and the transition to Bernoulli's equations, highlighting key assumptions needed for these fluid dynamics concepts.

Conditions For Euler Equations

This section discusses the conditions under which the Navier-Stokes equations simplify to the Euler equations, which apply to inviscid flows.

Deriving Bernoulli's Equations

This section details the process of deriving Bernoulli's equations from the Navier-Stokes equations, emphasizing the assumptions and simplifications used in fluid mechanics.

Boundary Conditions

This section explores the concept of boundary conditions in fluid mechanics, focusing on how they influence fluid flow and the simplification of the Navier-Stokes equations.

No Slip Boundary Condition

The no-slip boundary condition is a fundamental concept in fluid mechanics that stipulates that a fluid in contact with a solid boundary does not slip; that is, its velocity at the boundary matches the velocity of the boundary.

Interface Boundary Conditions

This section discusses the interface boundary conditions in fluid mechanics, focusing on the Navier-Stokes equations and the assumptions necessary for understanding fluid dynamics.

Applications Of Fluid Mechanics

This section explores the applications of fluid mechanics within various engineering contexts, emphasizing the significance and derivation of the Navier-Stokes equations.

Tidal Energy Harvesting

This section explores the principles of tidal energy harvesting and its importance in renewable energy production.

Biomedical Applications

This section discusses the Navier-Stokes equations' application in biomedical contexts, focusing on fluid dynamics in biological systems such as blood flow and heart blockage.

Numerical Solutions And Computational Fluid Dynamics

This section discusses the Navier-Stokes equations and their simplification for solving fluid dynamics problems using numerical methods and computational fluid dynamics (CFD).

Approximate Solutions Using Cfd

This section discusses the approximation techniques in solving the Navier-Stokes equations, particularly through Computational Fluid Dynamics (CFD), while emphasizing simplifications for fluid flows.