This book serves as a pocket guide and quick reference handbook for looking up and finding solutions to partial differential equations (PDEs) of fluid dynamics / mechanics including compressible fluids (gas) and related. The PDEs are linear and nonlinear (non-linear). These PDEs are solved including Boussenesq, Euler, Hydrodynamic Boundary Layer, Hopf (gas), Tricomi, Ostrovsky (Ocean Waves), BBM (in-dispersive long waves) and Navier-Stokes (found in meteorology models). Among Navier-Stokes, we show Oseen vortices and Coriolis solutions. There are also equations for heat and mass transfer in anisotropic media and a model equation for gas. Lastly, the Thin Film equation for bubbles and the liquid film mass transfer equation are covered. This quick reference can be used by mechanical engineers, structural engineers, chemists, physicists and applied and industrial mathematicians.