Kaplan — Physics & Math Flashcards
Fluid
Have ability to flow and conform to the shapes of their containers
Both liquids and gases
Solid
Does not flow and is rigid enough to retain a shape independent of their containers
Density
Ratio of mass to volume
Specific gravity
Density of a substance over the density of water (1 g/cm^3)
Pressure
Ratio of force per unit area
Absolute (hydrostatic) pressure
Total pressure that is exerted on an object that is submerged in a fluid
Absolute pressure formula
P = P_0 + rho x g x z
P_0 → incident or ambient pressure (pressure @ the surface)
Rho → density
g → gravitational acceleration
z → depth of object
Gauge pressure
Difference between the absolute pressure and the atmospheric pressure
Hydrostatics
Study of fluids at rest and forces & pressures associated with standing fluids
Pascal’s principle
For incompressible fluids, a change in pressure will be transmitted undiminished to every portion fo the fluid and to the walls of the containing vessel
Hydraulic system relationships
If pressure is the same:
F_2 = A_2 * F_1 / A_1
F_1 * d_1 = F_2 * d_2
Archimedes’ principle
F_buoy = rho_fluid * V_fluid displaced * g = rho_fluid * V_fluid submerged * g
Surface tension
Causes the liquid to form a thin but strong layer like “skin” at liquid’s surface
Cohesion
Attractive force that a molecule feels toward other molecules of the same liquid
Adhesion
Attractive force that a molecule of the liquid feels toward the molecules of some other substance
Meniscus
Curved surface in which liquid “crawls” up the side of the container a small amount
Adhesion > cohesion
Convex meniscus
Inverted form of meniscus
Adhesion < cohesion
Fluid dynamics
Study of fluids in motion
Viscosity
Resistance of fluid to flow
Viscous drag
Non-conservative force that is analogous to air resistance
Inviscid
Fluids with no viscosity
Laminar flow
Smooth orderly flow
Poiseuille’s law
Q = pi * r^4 * delta P / (8 * eta * L)
Turbulent flow
Rough and disorderly