Boussinesq approximation-Buoyancy

Input(s)

g: Acceleration due to Earth $\left(\mathrm{m} / \mathrm{s}^{2}\right)$

$\boldsymbol{\rho}_{\mathbf{2}}$: Final Density $\left(\mathrm{kg} / \mathrm{m}^{3}\right)$

$\boldsymbol{\rho}_{\mathbf{1}}$: Initial Density $\left(\mathrm{kg} / \mathrm{m}^{3}\right)$

$\rho$: Single Density $(\mathrm{kg} / \mathrm{m} 3)$

Output(s)

$\boldsymbol{g}_{\boldsymbol{r}}$: Reduced Acceleration due to Gravity $\left(\mathrm{m} / \mathrm{s}^{2}\right)$

Formula(s)

$$ g_{r}=g * \frac{\rho_{2}-\rho_{1}}{\rho} $$

Reference(s)

Wikipedia.org.