concept 4b Flashcards
fluids
characterized by their ability to flow and conform to the shapes of their containers
both liquids and gases are fluids
can impose large perpendicular forces, falling water from significant height is painful
solids
do not flow and are rigid enough to retain a shape independent of their container
can also exert forces perpendicular to their surfaces
but solids are able to withstand shear (tangential) forces
density
ratio of their mass to their volume scalar quantity, has no direction p=m/V p is rho and represents density units are kg/m^3 or g/mL or g/cm^3 1g/cm^3=1000kg/m^3
finding weight using density
with known density at any volume you can calculate weight
Fg=pVg
this is the calculation that appears when working through buoyancy problems
specific gravity
ratio of an object’s density to the density of water
comparing the density of a fluid to pure water at 1 atm and 4 deg C (which is 1 g/cm^3 or 1000 kg/m^3)
SG=p/(1 g/cm^3)
this is unitless and expressed as a decimal
can be used to determine if an object will sing or float in water
pressure
ratio of force to the area over which it is applied
scalar quantity
measured in pascals (Pa), millimeters of mercury (mmHg) or torr, or atmospheres (atm)
P=F/A
1 Pa= 1 N/m^2
units of pressure
1.013e5 Pa 760 mmHg 760 torr 1 atm these are the equivalent measures of pressure
atmospheric pressure
pressure of the atmosphere
changes with altitude
impacts a number of processes, including hemoglobin’s affinity for oxygen and boiling of liquids
absolute pressure
the actual pressure at a given depth in a fluid
including both ambient pressure at the surface and the pressure associated with increased depth in the fluid
aka hydrostatic pressure
total pressure exerted on an object that is submerged in a fluid
P=Po+pgz
P is absolute pressure, Po is the incident or ambient pressure, p is density of fluid, g is accel due to gravity, z is depth of object
ambient pressure
the pressure at the surface
aka incident
gauge pressure
the difference b/w the absolute pressure inside a tire and the atmospheric pressure outside the tire
amount of pressure in a closed space above and beyond atmospheric pressure
Pg=P-Patm=(Po+pgz)-Patm
hydrostatics
study of fluids at rest and the forces and pressures associated with standing fluids
Pascal’s principle
states that pressure applied to a non compressible fluid is distributed equally to all points within that fluid and the walls of the container
P=F1/A1=F2/A2
hydraulic system
a simple machine that exerts mechanical advantage using an incompressible fluid
based on Pascal’s principle and conservation of energy
Archimedes’ principle
states that a body immersed in a volume of fluid experiences a buoyant force equal to the weight of the displaced fluid
F(buoy)=p(fluid)V(fluid displaced)g
=p(fluid)V(submerged)g
remember to always use the density of the fluid itself not the density of the object
buoyancy
the upward force that results from immersion in a fluid
described by Archimedes’ principle
will an object float or sink?
an object will FLOAT if its average density is less than the average density of the fluid it is immersed in
an object will SINK if its average density is greater than that of the fluid
molecular forces in liquids
surface tension
cohesion
adhesion
surface tension
the result of the cohesive forces in a liquid creating a barrier at the interface b/w a liquid and the environment
causes the liquid to form a thin but strong layer like a “skin” at the liquid’s surface
exp. dome the forms on top of penny
cohesion
the attractive force that a molecule of liquid feels toward other molecules of the same liquid
liquids will stick together
intermolecular force b/w molecules of liquid
adhesion
the attractive force that a molecule of liquid feels toward molecules of some other substance
intermolecular force b/w molecules of a liquid and molecules of another substance
liquids will stick to other substances
exp. water climbing up a paper towel
meniscus
curved surface in which liquid “crawls” up the side of the container a small amount
will form when the adhesive forces are greater than the cohesive forces
backwards (convex) meniscus
the liquid level is higher in the middle than at the edges
occurs when the cohesive forces are greater than the adhesive forces
Mercury (only metal that is liquid at room temp) forms one when placed in a container
fluid dynamics
the study of fluids in motion
in many aspects of life, delivery of water to our homes and blood flow thorough our arteries and veins
viscosity
the resistance of fluid flow
increased viscosity of a fluid increases its viscous drag
thin fluids, gases, water, dilute aqueous solutions, have low viscosity and flow easily
whole blood, vegetable oil, honey, cream, molasses are thick fluids and flow slowly
viscous drag
nonconservative force that is experienced with high viscosity
analogous to air resistance
laminar flow
smooth and orderly movement of fluids
often modeled as layers of fluid that flow parallel to each other
low viscosity fluids have low internal resistance and have laminar flow
Poiseuille’s law
relates viscosity, tube dimensions, and pressure differentials to the rate of flow b/w 2 points in a system
allows to calculate laminar flow
Q=(pir^4delta P)/8nL
Q is flow rate, r is radius of the tube, delta P is the pressure gradient, n (eta) is viscosity, and L is length of pipe
even small change in radius has significant effect on pressure gradient, assuming constant flow rate
turbulent flow
rough and disorderly movement of fluids
causes the formation of eddies
also can arise in unobstructed flow if speed of fluid exceeds a critical speed
eddies
swirls of fluid of varying sizes occurring typically on the downstream side of an obstacle
caused by turbulent flow
critical speed
depends on the physical properties of the fluid, viscosity and diameter of tube
when speed of fluid exceeds critical speed fluid demonstrates complex flow patterns and laminar flow occurs only in thin layer of fluid adjacent to the wall, boundary layer
calculating critical speed
vc=N(R)n/pD
N(R) is Reynolds number a constant, n is viscosity, p is density, and D is diameter of tube
Reynolds number
depends on factors such as size, shape, and surface roughness of any objects within the fluid
streamlines
representation of molecular movement
indicate the pathways followed by tiny fluid elements (fluid particles) as they move
never cross each other
velocity vector of fluid particles will alway be tangential to the streamline
flow rate
rate of movement of fluids
volume per unit time
is constant for a closed system and is independent of changes in cross-sectional area
linear speed
measure of the linear displacement of fluid particles in a given amount of time
the product of linear speed and area are equal to flow rate
Q=v1A1=v2A2
Q is flow rate, v is linear speed of fluid at points and A is area at points
linear speed will increase with decreasing cross-sectional area