Fluid Mechanics

Properties

• Definition of Fluids and Fluid Mechanics
• Pressure of a Fluid $P = \dfrac{F}{A}$
• Pressure of a Fluid with Depth $P_{h} = P_{0} + \rho g h$
• Pressure of a Fluid with Depth When an Object is Placed on the Fluid
• 🔒(26/02/05)Definition of Viscous Fluid
• 🔒(26/02/09)Definition of Compressible Fluid
• 🔒(26/02/25)Newton’s Law of Viscosity and Newtonian Fluid
• 🔒(26/03/13)Flow Rate and the Continuity Equation $Q = AU$
• 🔒(26/03/17)Bernoulli’s Equation in Fluid Dynamics
  • 🔒(26/03/21)Proof of Torricelli’s theorem $Q = A_{2} \sqrt{2 g h}$
• 🔒(26/03/25)Proof of Hagen–Poiseuille Law

Governing Equations

• Fluid Velocity and Steady Flow $\mathbf{u}$
• Eulerian and Lagrangian Descriptions
• 🔒(26/02/01)Material Derivative $D / D t$
• 🔒(26/02/13)Cauchy Stress Tensor $\sigma$
  • 🔒(26/02/17)Lamé Parameters $\mu$, $\lambda$
  • 🔒(26/03/09)Volume Viscosity $\zeta$
• 🔒(26/02/21)Derivation of Euler Equations
• 🔒(26/03/01)Derivation of Navier-Stokes Equations
  • 🔒(26/03/05)Derivation of Compressible Navier-Stokes Equations

Computational Fluid Dynamics