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.