|
SCREEN 1
i1)
Enter "1" to
select FRE design with recessed face surface.
i2)
Indicate with
a '4' that the engine is 4 cycle.

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SCREEN2
In this data input screen the size of the injection-ignition
region of the 4 cycle engine is selected. The selection runs from
an engine with an effectively constant volume injection-ingnition-
combustion
process, selection 2, to the partially constant volume but generally
variable
volume injection-combustion process, selection 1.
i1) Enter 1
i2) Next enter a few characters for an
engine serial
number - or just press enter.
i3) Next enter '1' to indicate that the
engine design
will have exhaust gas
 |
SCREEN3
In data screen 3 the basic engine configuration and
dimensons are
selected.
i1) Major radius: 6"
i2) Minimum partition radius: 2"
i3) Number of VVC in the engine: 10
i4) Minumum partition angular extension
into the annular
cavity: 8 deg.
i5) The partitions' angular movement in the
cavity:
18 deg.
[The partition pivots
cyclically between
8 and 26 degrees into the cavity during its travers of the annular
cavity.]
i5) The face surface angle: 90 deg.
i6) The maximum partition length: 6.5"
i7) The minimum partition thickness in
multiples of
1/32": 1
Next the program indicates the maximum compression ratio
the particular
engine dimensions permit.
In this case: 17.27
i8) The compression ratio selected is : 9
Using the data input the program geneates a first
estimate of the
engine displacement, VVC and cavity dimensional data.. The
displayed
data is generated using partitions with constant thickness set at the
minimum
partition thickness.
Other data generated and displayed relates to heat
transfer parameters
and are not relevant. The recess torq factor is a volume
parameter.
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SCREEN 4
A selection of possible partition
materials
is displayed for selection.
i1) Silicon Carbide
is selected:
(10)
THE program indicated the mass and
strength
of the partition material selected. The data will be used to
determine
the partition taper and inertia in a later program section.
Although fluid bearings are at the
partition
pivot, a needle or ball radial and thrust bearing combination is used
to
determine the partition taper requirements.
i2) The radial pivot
bearing
OR is: .25"
i3) The thrust pivot
bearing
OR is: .9"
i4) The thrust pivot
bearing
effective load radius is: .8"
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SCREEN 5
With the atmospheric pressure and temperature
input, this
program section displays the incremental generation of the VVC
thermodynamic
properties (in an isentropic adiabatic process) to the end of the
engine
compression region. An isentropic process is one where the entropy of
the
process remains constant. dS/dT = 0. constant.
An adiabatic process is one where in
no heat is
added or removed from a system; i.e. dQ = 0. n this
instance
the VVC chamber contents undergoing compression are considered
perfectly
insulated from all surroundings and the work required for their
compression
is exactly that work generated if they were allowed to expand.
i1) Ambient air pressure: 14.7 psi
i2) Ambient air temperature: 90F degress.
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SCREEN 6
An increment by increment
estimation of the
thermodynamic properties of a VVV during its traverse of
the
engine combustion region is displayed in this section. The
pressure
data so generated will be used to determine the necessary partition
taper
in the next section. The program also asks for the pressure boost
of the fuel methane over the combustion pressure to estimate and
display
the minimum fuel pump torque loss.
i1) The pressure
boost of methane
over the combustion pressure: 50 psi.
 |
SCREEN
7
This screen displays an increment
by increment
display of the acquisition of the partition taper and the effecting
loads
and stresses. The program needs input of the type of
partition
lateral area estimation used, pseudo or close estimate; i.e. l(11) or
l(12)
respectively. The program also requires input if a constant
thickness partition is desired. This selection is only suitable
in
very low pressure engines.
i1) Type of partition
lateral
area estimation to be used in the partition taper acquisition.
Enter
'1'
i2) If a constant
thickness partition
is desired enter 1: No entr
Finaly, the program generates and
displays
the actual engine characteristics with tapered partitions.
An additional screen which permits
the printout
of generated data is ignored.
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PROGRAM SECTION: 2FRASCA.exe
Program section 2FRASCA is used to determine
the necessary
partition guide's hydrodynamic bearing characteristics along with the
partition's
moment of inertia and other critical design parameters.
Where the partition displacement is effected by coaction
between
a guide spring and guide rotor cam-bearing interaction, the spring
parameters
are also determined.
Although a second rotor cam and larger lubricant supply
are required,
engines with partitions having both a proximal and distal guide
each
with a hydrodynamic bearing which together coact to effect pivotal
displacement
should be much less costly to manufacture and much more durable. |
SCREEN 8 -
This screeen's purpose is self explained and only
appears in the
freeware downloaded prior to 02-17-00.
Press to enter key to move on.
 |
SCREEN 8
The partition guide orientation is selected on this
screen.
i1) Select the proximal guide
partition by entering:
`A'.
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SCREEN 9
The partition's dimensions
critical to its
pivoting are entered on this screen.
i1) The
partition
guide's thickness is entered as: .12".
i2) The
partition
guide's width is entered as : .4".
i3) The
rotor cam
minimum radius is entered as: 3"
i4) The
maximum rotor
cam grade angle is entered as: 18 degrees.
i5) The
partition
guide's CCW angle to the rotor axis is entered as: 20 degrees.
With the above information the
program determines
the maximum allowed guide length as 4.04 inches.
i6) The
actual partition
guide length is entered as: 4"
Next the program requires the
added bearing
length beyond the guide thickness.
i7)
Entered the added
bearing length as (x/32): 45
The program next test the actual
rotor cam
grade and indicates the +/- guide bearing arc angle minium
requirement
and requires an entry of the actual bearing angle selected.
i8) Enter
the +/-
bearing arc angle as: 19.4 degrees.
The bearing width is next required
by the
program.
i9) Enter
for the
bearing width: 1.5".
The program next displays
information relative
the bearing operation and lubrication.
Classical lubricants only, are
used for emulation
of the hydrodynamic bearing operation.
New surface treatments and
synthetic lubricants/additives
should permit a significant increase in the engine's maximum
operating
RPM.
The operating RPM displayed on
this screen
are very rough approximations, as will be demonstrated later in the
program.
Enhansed cooling and lower
partition inertia
are made possible in the program by removing the center third of a
partition's
strut in very large engines; i.e. the strut is supplied with a cooling
vent.
The program asks if this vent is
wanted.
i10)
Enter for partition
vent: "N"
The program next permits the entry
of a unique
partition enertial moment.
i11) Skip
this inertia
entry branch by pressing: ENTER.
The program completes the screen
by displaying
the partition's moment of inertia along with other relative design
constants.
 |
SCREEN 10
This screen displays the current guide bearing width and
requires
the entry of the value to be used.
i1) Enter the displayed current
value for
the desired value of the bearing width: 1.5"
 |
SCREEN 10+
This screen appears in the freeware downloaded prior to
02-17-00.
This is a program section is often wonky. It is over
ambitious
in its purpose for the 16 bit compiler and usually requires program
code
tweeking on a design by design bases to function properly.
Generally when you see "To avoid this section enter `1'
" , do so
if at all possible.
i1) To avoid this section enter
'1'.
Enter :1.
 |
SCREEN 11
This screen includes an adequate
explanation
of its purpose.
i1) Enter
for the
number of iterations per VVC arc: 3000.
i2) Do
not select
a different count press: ENTER
 |
SCREEN 12
This screen requires an input of
`1' to branch
of into the spring loaded -rotor cam bearing combination partition
displacing
design. If `1' is not entered the program branches to the
desmodratic
means. However, at the end of the data acquisition in
either
branch data can then be generated in the other branch.
i1) The
spring loaded
bearing combination is selected, enter: 1.
 |
SCREEN 13
Spring loading being selected, the
spring
characteristics must be determined. The program does this with
the
partition inertial characteristics already determined, and the minimum
spring length and maximum engine RPM inputs in this screen. At
RPMs
beyond this maximum value the partition/spring will "float".
i1) Enter
the minimum
spring length: 3".
i2) Enter
for the
maximum engine RPM: 6600
 |
SCREEN 14
This screen first displays the acquired spring
characteristics.
Although the bearing cam losses are not that
significant, this is
probably the most important part of the program.
At the highest possible engine RPM the hydrodynamic
bearing must
function.
When the lubricant lamina thickness (qth) drops below
about 1/10000
"- the program locks up and the program section must be repeated for a
new bearing design which will meet the demands of the maximum engine
RPM.
Increasing the bearing width and length is the quickest fix for this
problem;
however, cam grade, minimum cam radius, and partition guide angle are
also
among the other determinate characteristics.
This program section takes a bit of time.
i1) Enter the test rpm: 6000
The program next proceeds to access the hydrodynamic
bearings characteristics
at the 30000 increments in the complete traverse of the annular cavity
by the partition.
 |
SCREEN 15-
This screen permits branching to the desmodratic bearing
hydrodynamic
bearings emulation.
 |
SCREEN 15
As in screen 14, this screen displays the emulation of
the hydrodynamic
bearings only for the desmodratic arrangement. Although this
particular
arrangement requires the entry of a clearance ["slop"] factor
between
the partition guide's bearings and the opposed cams of the rotor cam
channel
or rail, this requirement is removed when two guide partitions are
used.
Each of the two guides with its hydrodynamic bearing to cam interaction
coacts with the other to effect the partition's pivotal movement.
i1) Enter the test rpm: 6000
i2) Enter the slop (clearance)
between
the guide bearings and cam channel: .010"
The starting fluid lamina thickness at the bearing
supporting the
partition's inertial load is required next.
i3) Starting fluid lamina QTH:
.0001"
The program then proceeds to demonstrate the desmodratic
hydrodynamic
bearing emulation through the 30000 increments of a partitions' annular
cavity traverse.
 |
PROGRAM
SECTION 3FRASCA.exe
The program itself contains the required
annotation.
Keep in mind the Sweigert-Beardsley equations for Cp variation with
temperature
date back to the 1938. Newer and more accurate
empirical
formulae are now available. The annotation screens are
skipped
here and we pick up with: |
SCREEN 16
On this screen wether or not the
use of the
Z factor is selected.
 |
SCREEN 17
This program section generates and
displays,
in addition to the particular data needed by the program, a great deal
of additional information about the initial intake air.
The program first asks if a
different ambient
temperature is desired for the engine performance data generation, then
asks for the relative humidity of the intake air.
i1) To
enter a different
ambient temperature; otherwise press: ENTER
i2) Enter
the relative
humidity: 57%
With this information the program
determines
and displays information including the intake air content and
thermodynamic
properties, and the intake air mass.
The program next requires the size
of the
gap at the partition edge at the rotor wave surface.
i3) Gap
(x.001")
enter: 2
Next the engine operating RPM for
the power
generation emulation run is entered:
i4) Test
RPM: 6000
Next the screen displays the
particular number
of increment per VVC that are usable in the compression-
combustion emulation for the
current engine
design. In the current instant the selections are: 24, 48, 72, 96
and 120.
i5) Enter
number
of tests per chamber: 120
The circumferential bleed-by gaps
(pgap) are
entered next. Assuming some type of dynamic flow limiting
arrangement
multiples of 0.0001" are selected.
i6) Enter
(x .0001"):
2
As with the circumferential
bleed-by gaps
the partition framing slot gap (Fgap) is also entered in multiples of
0.0001".
i7) The
partition
framing bleed-by gap is entered as .0001 x enter: 2
 |
SCREEN 18
THE ENGINE COMPRESSION REGION
PERFORMANCE.
The top portion of the screen
display some
of the dimensional aspects of the gaps in the engine.
Fixed VVC mass
compression.
In its center portion, the screen
displays
the engine's theoretical compression region performance under adiabatic
conditions with constant VVC mass. Displayed are the VVC pressure
and temperature exiting the compression region, and the mean torque
required
for the compression region.
Displayed also are the rate of
work expended
in the topic compression process estimated using integration and torque
approximation methods. The estimation by torque method with
greater numbers of iterations should approach closely the estimation by
integration.
Compression with
VVC mass loss.
The bottom portion of the screen
displays
the engine compression region's performance with VVC mass loss.
Note
particularly the mass loss displayed as remaining mass percentage, the
low energy expenditure and the effective compression ratio. The
ratio
A(43) is the maximum VVC volume divided by the minimum VVC volume while
the "effective compression ratio" is the actual ratio of the pressure
of
the VVC exiting the engine compression region to its pressure while
entering
the engine compression region.
NOTE: Data
loading at the
program end takes some time. Do not terminate program before data
load is complete.
 |
PROGRAM
SECTION: 8FRASCA.exe\3FRASCA.exe
GRAPHIC DISPLAY OF ENGINE COMPRESSION REGION DATA. |
PROGRAM SECTION 8FRASCA.exe is now run to
graphically demonstrate
the data collected by program section 3FRASCA. Screens 19 &
20
display graphically the VVC temperature and pressure data
respectfully.
The filled graph is performance with mass loss.
GRAPHIC DISPLAY OF GENERATED DATA.
SCREEN 19
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SCREEN 20
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PROGRAM
SECTION: 4FRASCA.EXE
In program section 4FRASCA, the engine's fuel is selected from a
menu of 20 fuels and the air-fuel ratio is entered as a
percentage.
Air-fuel ratio example: 120% air is 120% of the air required for the
theoretical
complete combustion of the selected fuel.
Using this information the VVC thermodynamic
characteristics (insulated
with no mass loss processes) are assessed increment by increment in
their
traverse of the combustion region and the program determines the
effective
energy (Btu) per pound mass air for the fuel in the particular engine
design.
Further explanation of this process is within the program itself. |
SCREEN
21a
Here the Z factor selection made
in program
3FRASCA may be deselected.
i1) Do note deselect the Z
factor use.
Press ENTER.
After this selection the program
takes a few
moments to generate seed date using a pseudo fuel and 100% air.
 |
SCREEN
21b
On this screen are selected the percentage air and the
type of fuel
engine fuel. The fuel type and percentage air selected will be
displayed
after the first complete data generation cycle.
i1) Enter the percentage air: 120
i2) Enter the fuel used: 5.)
C13H28 (Medium
diesel).
 |
SCREEN
21c
This screen permit the entry of a
unique energy
value for the fuel and % air sele i1) Enter Energy
quantity:
Press ENTER.
 |
SCREEN
22
On this screen are displayed a
fairly complete
energy use profile for the engine combustion processes in VVC without
mass
loss.
 |
PROGRAM
SECTION: 8FRASCA.exe\4FRASCA.exe
GRAPHIC DISPLAY OF ENGINE COMPRESSION + COMBUSTION
REGIONS
DATA. |
SCREEN 23
The filled portion of the VVC
temperature
graph (compressor region) is data with VVC mass loss. The
unfilled
graph (compressor & combustion region) is data without VVC mass
loss
and heat transfer. The region in which fuel injection
occurs
is indicated by the 4 parallel horizontal line segments.
 |
SCREEN 24
The filed portion of the VVC
pressure
graph (compressor region) is data with VVC mass loss. The
unfilled
graph (compressor & combustion region) is data without VVC mass
loss
and heat transfer. The region in which fuel injection
occurs
is indicated by the thick horizontal line bracket.
 |
PROGRAM
SECTION: 5FRASCA.EXE
This program generates the first approximation of engine
performance.
Heat transfer is not accounted. The programs internal
annotation
is adequate. |
SCREEN 25a
As in the previous program sections, the Z-factor use
mode may be
deselected.
i1) To keep the present
Z-factor
use selection press: ENTER
 |
SCREEN 25b
A step by step view of the data collection for the
combustion region
traverse of the combustion region by a VVC with perimeter
bleed-by
may is availableted.
i1) To step through
the data
acquisition enter 1: 1
 |
SCREEN 25c
This is typical of the many displays when a step by step
acquisition
of the VVC traverse of the combustion region with perimeter bleed-by is
chosen is screen 25b. The data is self explaining.
 |
SCREEN
25d
This is the engine performance with perimeter bleed-by. The
data is self explaining.
 |
SCREEN 25e
 |
PROGRAM
SECTION: 8FRASCA.exe\5FRASCA.exe
GRAPHIC DISPLAY OF ENGINE COMPRESSION + COMBUSTION
REGIONS
DATA WITH PERIMETER BLEED-BY. |
SCREEN
26:
Displays the VVC temperature
data with
perimeter bleed-by during their traverse of the engine's compression
and
combustion regions.
 |
SCREEN
27:
Displays the VVC pressure
data with
perimeter bleed-by during their traverse of the engine's compression
and
combustion regions.
 |
SCREEN 28a
The program next generates the VVC data for traverse of
the compression
and combustion regions with mass exchange between neighboring
VVC.
This screen permits of a step by step view of this data
generation.
 |
SCREEN 28b
This is a the typical step by step display screen for
the data acquisition
with mass flow between neighboring VVC. The data is self
explaining.
 |
SCREEN
28c
Displayed is the first
approximation of engine
performance with perimeter bleed-by and inter VVC mass exchange.
 |
PROGRAM
SECTION: 8FRASCA.exe\5FRASCA.exe
GRAPHIC DISPLAY OF ENGINE COMPRESSION + COMBUSTION
REGIONS
DATA WITH PERIMETER BLEED-BY AND INTER
VVC
MASS FLOW. |
SCREEN 29
Graph of the VVC temperature with perimeter and inter
VVC mass flow
during their traverse of the engine cavity.
 |
SCREEN 30
Graph of the VVC pressure with perimeter and inter VVC
mass flow
during their traverse of the engine cavity.
 |
PROGRAM SECTION
6FRASCA.EXE
Program section 6Frasca, generates a large quantity of
nut and bolts
information, including the main bearing loads, annular cavity
circumference
lengths which are critical for flow limiter designs and annular cavity
centroid information which is critical to engine rotor
balancing.
To determine the main bearing loads with a good safety margin you'll
want
to generate special engine data using 3FRASCA, 4FRASCA, and
5FRASCA
with the gaps, Fgaps and Pgaps zeroed in program 3FRASCA.
Save
the current engine data in a separate folder for later retrieval, then
start 3FRASCA again. program 6FRASCA data is self explaining.
In single undulation and 4
cycle engines,
ganging ( i.e. sharing the same power shaft) two rotors will
cancel
all bearing loading moments and power shaft directed forces (
Z-axis
forces) leaving only a force perpendicular to and rotating with the
rotor
shaft when:
the rotors' power cycles
are in phase,
the rotors' wave surfaces
are directed
towards the opposite ends of the power shaft,
the X-Z and Y-Z
planes of the
2 rotor coordinate systems are coincident, and
the positive X and Y axii
of the
2 rotor coordinate systems point in the same direction. |
SCREEN 31
 |
|
SCREEN 32
Screens 32, 33 display the generated data for main
bearing load.
Though not shown, the option to view the data generated increment by
increment
may be selected.
 |
SCREEN 33
 |
SCREEN 34
Screen 34 display results from selecting "2" in the menu
and displays
the dystal and proximal annular cavity circumferential
lengths.
Also selectable from this screen are the display of the proximal and
distal
circumferential lengths between any two entered annular cavity angles
and
the proximal and distal circumferential lengths of a single VVC located
at an entered angle between 0 and A(39) angles. In this
instance
between 0 and 88.5 degrees.
 |
SCREEN 35a
Screen 35a, 35, 36, and 37 display the annular cavity
centroid information.
In Screen 35a the exact formula in the manual used for iteration is
selected.  |
SCREEN 35
 |
SCREEN 36
 |