PSModel a look inside | |
Importing a |
Glossary: Ae -- Expanded Area of propeller blades, ft2 Advance Coefficient -- Va/(nD), also see J below Advance Velocity -- average flow velocity into the propeller in feet per second, see Va below Ap -- Projected Area of propeller blades, ft2: Ap ~ Ae × (1.067 − 0.229 × P/D) Atmospheric Pressure -- approximately 14.7 psi or 2116.8 psf; 14.69595 psi = standard atmosphere set by the 10th Conference General des poids et measures (CGPM) BAR -- generic for DAR or EAR, see the Blade Area Ratio section Brackish -- water that is a mixture of salt and fresh water; usually a fresh water layer is on top of the denser saltwater Cavitating Series -- A Propeller Series that is tested at various Cavitation Numbers, some of which result in propeller cavitation. Cavitation -- vapor filled bubbles that form in water when the local pressure drops below the vapor pressure of water: When the pressure increases above the vapor pressure, the bubbles collapse rapidly producing extremely large pressures at the instance they disappear. If the collapse takes place on the back or face of a propeller blade, the extremely high pressure can cause pits in the propeller material. Cavitation Number -- also called Sigma, (Pa + Pd − Pv) / (½ρVa2); see Calculating The Cavitation Number section Clipboard -- a file that stores data rows for a subsequent paste Cup\Cupping -- propeller blade trailing edge modification that has an influence on blade cavitation and effective pitch; see the NV3 Series in the Propeller Geometry section for a cupping diagram. D -- propeller diameter in feet DAR -- Developed Area Ratio = (Developed Area of all propeller blades) / (propeller disc area) Developed Outline\Area -- the blade outline on a propeller drawing generated by plotting propeller blade sections on arcs corresponding to their radius on the blade: By connecting each of the plotted section end points with a line the developed outline is formed. The area within the developed outline is called the Developed Area of the blade. The Developed Area of the propeller is simply the Developed Area of one blade multiplied by the number of blades. DHP -- Delivered Horsepower or power absorbed by the propeller EAR -- Expanded Area Ratio = (Expanded Area of all propeller blades) / (propeller disc area) Effective Pitch -- pitch of an uncupped propeller that gives the same performance as a similar propeller with cup. Expanded Outline\Area -- the blade outline on a propeller drawing generated by connecting end points of blade sections that are plotted with nose-tail lines on straight horizontal lines at corresponding section radii: The area within the expanded outline is the Expanded Area of the blade. The Expanded Area of the propeller is simply the Expanded Area of one blade multiplied by the number of blades. Note that the difference between Expanded Area and Developed Area is due to how the expanded outline and developed outline were formed: nose-tail lines in one case are laid out on straight lines, and in the other, on arcs. Efficiency -- propeller efficiency = (J × Kt) / (2πKq)
ERPM -- Engine Revolutions Per Minute
g -- standard acceleration due to gravity = 32.174 ft/sec2;
value set at the 3rd General Conference on Weights and Measures (or 3rd
Conference General des poids et measures, CGPM)
H -- Head of water in feet that produces a pressure equal
to the total pressure = atmospheric pressure + water depth pressure +
vapor pressure
Horsepower -- power output by an engine or absorbed by a
propeller = 2πQn / 550
Hull Speed -- approximate speed of a boat, operating in
the displacement mode, above which powering requirements start to rise
rapidly for relatively small increases in boat speed, see the
Hull Speed section
J -- Advance Coefficient = Va/(nD)
Knots -- nautical miles per hour: Multiply
speed in Knots by 1.15078 to get speed in MPH (e.g., 10.0 Knots x
1.15078 = 11.5078 MPH).
Kt -- Thrust coefficient = T / (ρn2D4)
Kt Breakdown
-- see the Kt Breakdown section
for discussion
Kq -- Torque coefficient = Q / (ρn2D5)
L.E. -- propeller blade leading edge
n -- propeller revolutions per second, or RPM / 60
Noncavitating Series
-- A Propeller Series that is tested at cavitation numbers great enough to
eliminate propeller cavitation.
Open Water -- As used in PSModel, this
term refers to Propeller Curves or a Propeller Series with the following
characteristics: 1) propeller tests were done in open water with uniform
inflow
2) cavitation may have been present during tests, but not
enough to cause
Kt Breakdown
P -- propeller pitch in feet;
the distance a propeller would advance after one revolution with no slip: This
is equivalent to how far a screw would advance in wood after one complete turn
or revolution of the screw driver.
Pa -- atmospheric pressure = 2116.8 psf
Pd -- water pressure at the propeller hub = ρ × g × (Depth
to hub in feet), psf
Polynomial -- The term polynomial, as used in PSModel,
refers to mathematical equations that are solved to obtain Kt or Kt
values. These equations or polynomials are obtained through
regression analysis of Series test data.
Propeller Curves -- graph of J
verses
Kt, Kq, and Efficiency
Propeller Law -- see the Propeller Law
section
Propeller Series --
A propeller Series is a family of
propellers consisting of a parent and several child propellers.
The parent propeller sets the geometry of the Series around which the
child propeller geometry is systematically varied. Variations may
include changes in propeller pitch, blade surface area, number
of blades, etc. By testing this family of propellers and recording
such things as thrust, torque, and cavitation patterns, propeller curves
can be created. Projected Outline\Area
-- The projected outline of a propeller blade is the outline or surface
you see when looking at the propeller blade from a point perpendicular
to the propeller shaft, or from a point ahead or aft of the propeller.
The
Projected Area is the area enclosed by the Projected Outline.
psi
-- pounds per square inch psf -- pounds
per square foot Pv -- water vapor
pressure, psf
P/D -- propeller pitch divided by propeller diameter:
Diameter and pitch are usually stamped on the hub of small propellers.
For example, the stamp 16 x 12 indicates a 16 inch diameter by 12 inch
pitch (P/D = 12/16 = 0.75).
Q -- propeller torque in
foot-pounds
Rake -- If propeller blades appears
to be sloped fore or aft when the propeller is viewed from the side, the
propeller is said to have rake. Rake usually has little affect on
propeller thrust or torque. For an example of rake, see the B-Series in
the
Propeller Geometry section.
Reynolds Number -- a
nondimensional number that applies to viscous fluid flows: Discussions of
Reynolds Number can be found in any technical book dealing with Fluid Mechanics
or Dynamics. Rho -- water
density, lb-sec2/ft4
(also called ρ). In output data, Rho, the type of water,
and water temperature are expressed in compact notation: e.g.,
Fresh water at 60 degrees Fahrenheit has a density of 1.9383
lb-sec2/ft4
and is represented as 1.9383F60; Salt water at 59 degrees
Fahrenheit has a density of 1.9905
lb-sec2/ft4
and is represented as 1.9905S59.
RPM -- Revolutions Per Minute
Segmental Sections --
blade section shapes which are generated from straight lines and circular arcs
Sigma -- same as Cavitation
Number
above
Skew -- If propeller blade sections
are progressively swept back along the pitch helix, the blade is said to have
skew. Blade skew tends to reduce vibrations and improve cavitation
performance when the propeller is operating in a variable wake field.
Skew usually has little affect on propeller thrust or torque. For an
example of skew, see the NV3 and NV4 Series in the
Propeller Geometry section.
Subcavitating -- As used in PSModel,
this term refers
to propellers that operate with less than 10% of the blade backs covered
with cavitation. Supercavitating
-- This term refers to propellers whose blade backs are completely
covered with a cavitation bubble or sheet.
T -- propeller thrust, pounds
Tabular Data -- tables of
data containing J, Kt, and Kq values derived from propeller
testing
T.E. -- propeller blade Trailing Edge
Torque -- shaft twisting moment in foot-pounds (ft-lbs)
tc -- thrust load coefficient = T/{½ρ × Ap × [Va2
+ (0.7πnD)2]}
V -- boat speed or
velocity, ft/sec
Va -- average flow velocity into the propeller in feet per second,
sometimes called the Advance Velocity = Boat Speed
× (1-w) Wake Factor -- see 1-w
below
Water Density -- see Rho above and
ρ below
Z -- number of propeller blades
ρ -- water density, see
Rho above π -- pi ~ 3.14159 1-w -- wake factor = Va / V, see the
Wake Factor section |