Hydrodynamics of moving bodies

Electromagnetics of moving bodies

Fluid velocity, $v_f$

Magnetic vector potential, $A$

Fluid acceleration, $\frac{\text{d}{v}_f}{\text{d}t}$

Induced electric field, $\frac{\text{d}A}{\text{d}t}$

Fluid density, ${\rho }_f$

Charge density, ${\rho }_q$

Virtual mass, $m_{\text{virtual}}$

Relativistic mass, $m_{\text{relativistic}}$

Acoustic gamma factor, ${\gamma }_a$

Lorentz Gamma factor, $\gamma$

Acoustic impedance, $Z_a$

Electromagnetic impedance, $Z_w$

Compressibility of fluid, $\beta$

Permittivity of vacuum, ${\epsilon }_0$

(Surrounding) Fluid density, ${\rho }_f$

Permeability of vacuum, ${\mu }_0$

Inertia Force due to Acceleration, $-{\rho }_f\left(\frac{\partial v_f}{\partial t}\right)$

Inertia Force due to Acceleration, $-{\rho }_q\left(\frac{\partial A}{\partial t}\right)$

Virtual mass increase, $-{\rho }_f\left(v_f\cdot \nabla \right)v_f$

Relativistic mass increase, $-{\rho }_q\left(v\cdot \nabla \right)A$

Hydrodynamic Inertia Force, $-{\rho }_f\left(\frac{\text{d}{v}_f}{\text{d}t}\right)$

Electromagnetic Inertia Force, $-{\rho }_q\left(\frac{\text{d}A}{\text{d}t}\right)$

Magnus Force, $F_M={\rho }_f{v}_f\times \left(\nabla \times v_f\right)$

Lorentz Force, $F_L=q\left(E+v\times B\right)$

Mach Cone Angle, ${\theta }_M$

Cherenkov Cone Angle, ${\theta }_C$

$\sin \left({\theta }_M\right)=\frac{c_s}{v}$

$\sin \left({\theta }_C\right)=\frac{c}{v_{\text{particle}}}$