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
Eddies
Swirls of fluid of varying sizes occurring typically on the downstream side of an obstacle
Critical speed
Turbulence can arise when the speed of the fluid exceeds a certain speed
Boundary layer
Thin layer of fluid where laminar flow occurs
Critical speed equation
v_c = N_r * eta / (rho * D)
N_r → Reynolds number
eta → viscosity
rho → density
D → tube diameter
Reynolds number
Depends on factors such as the size, shape, surface roughness of any objects within the fluids
Streamlines
Representation of the molecular movement
Velocity will always be tangential to streamlines