Tips & Formulas Fluid Dinamics | Concordia University Wisconsin

University:
Concordia University Wisconsin
Course:
PHYS 1514 | General Physics I
Academic year:

2023
Views:

238

Pages:

2
Author:

lkalqie

MECHANICAL PROPERTIES OF MATTER FLUID DYNAMICS 1. Steady and Unsteady Flow Steady flow is defined as that type of flow in which the fluid characteristics like velocity, pressure and density at a point do not change with time. In an unsteady flow, the velocity, pressure and density at a point in the flow varies with time. 2. Streamline Flow In steady flow all the particles passing through a given point follow the same path and hence a unique line of flow. This line or path is called a streamline. 3. Laminar and Turbulent Flow Laminar flow is the flow in which the fluid particles move along well–defined streamlines which are straight and parallel. 4. Compressible and Incompressible Flow In compressible flow the density of fluid varies from point to point i.e. the density is not constant for the fluid whereas in incompressible flow the density of the fluid remains constant throughout. 5. Rotational and Irrotational Flow Rotational flow is the flow in which the fluid particles while flowing along path–lines also rotate about their own axis. In irrotational flow particles do not rotate about their axis. Equation of continuity A1 v1 = A2v2 Based on conservation of mass 1 2 Bernoulli`s theorem : P  v  gh = constant 2 Based on energy conservation 6. Kinetic Energy Kinetic energy per unit volume = 7. Kinetic Energy 1 m 2 1 2  v = v 2 volume 2 V Potential Energy Potential energy per unit volume = 8. Potential Energy m = gh = gh volume V Pressure Energy Pressure energy per unit volume = Pressure energy =P volume 54 9. For horizontal flow in venturimeter 11 11 2gh 2gh P1 P1  v2v P2P2  v2v v1v1 AA  2 2 2 2 A12  A 22 10. Rate of flow Volume of water flowing per second Q  A1 v1  A1A 2 11. Velocity of efflux v = 12. Horizontal range R = 2 h  H  h  2gh 2gh A 1  A 22