Fluid Mechanics and Hydraulic Machines

APPENDIX E

Some Important Relations at a Glance

Chapter 2

Streamline equation:

Kinematic relations:

Velocity and acceleration fields:

        Vector form:

Cartesian Coordinate s:

α_x = Du / Dt = ∂u / ∂t + u∂u / ∂x + v∂u / ∂y + w∂u / ∂z,

α_y = Dv / Dt = ∂v / ∂t + u∂v / ∂x + v∂v / ∂y + w∂v / ∂z,

α_z = Dw / Dt = ∂w / ∂t + u ∂w / ∂x + v ∂w / ∂y + w∂w / ∂z,

Cylindrical polar Coordinate s:

Deformation of fluid element:

∴

Stream function, velocity ...