Date: Thu, 28 Mar 2024 14:19:44 -0500 (CDT)
Message-ID: <540786399.3683.1711653584462@cornell1-cos-conf1.managed.contegix.com>
Subject: Exported From Confluence
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St=
ep 4: Setup (Physics)
If you have skipped the previous mesh generation steps 1-3, you can down=
load the mesh by right-clicking on this link. Save the file as nozzle.msh i=
n your working directory. You can then proceed with the flow solution steps=
below.
Launch FLU=
ENT
Start > Programs > ANSYS 12.0 > Fluid Dynamics > FLU=
ENT
Select 2D from the list of options and click OK.
Import File<=
/h4>
Main Menu > File > Read > Case...
Navigate to your working directory and select the nozzle.msh
file. Click OK.
The following should appear in the FLUENT window:
Check that the displayed information is consistent with our expectations=
of the nozzle mesh.
Che=
ck and Display Mesh
First, we check the grid to make sure that there are no errors.
Under Problem Setup > General > Mesh > Check (button)=
strong>
Any errors in the grid would be reported at this time. Check the output =
and make sure that there are no errors reported.
Main Menu > Mesh > Info > Size
How many cells and nodes does the grid have?
The mesh is being displayed by default but the steps to accomplish this =
when the grid is not being displayed are the following:
Main Menu > Display > Mesh
Make sure all items under Surfaces is selected. Then click Display. The graphi=
cs window opens and the mesh is displayed in it.
Some of the operations available in the graphics window are:
Translation: The mesh can be translated in any direction by holding down=
the Left Mouse Button=
em> and then moving the mouse in the desired direction.
Zoom In: Hold down the Middle Mouse Button and drag a box from the Upper Left Hand Corner to the Lower=
Right Hand Corner over the area you want to zoom in o=
n.
Zoom Out: Hold down the <=
em>Middle Mouse Button and drag a box anywhere from th=
e Lower Right Hand Corne=
r to the Upper Left Hand Corner.
The mesh has 50 divisions in the axial direction and 20 divisions in the=
radial direction. The total number of cells is 50x20=3D1000. Since we are =
assuming inviscid flow, we won't be resolving the viscous boundary layer ad=
jacent to the wall. (The effect of the boundary layer is small in our case =
and can be neglected.) Thus, we don't need to cluster nodes towards the wal=
l. So the mesh has uniform spacing in the radial direction. We also use uni=
form spacing in the axial direction.
Look at specific parts of the mesh by choosing each boundary (centerline=
, inlet, etc) listed under <=
em>Surfaces in the Mesh Display menu. Click t=
o select and click again to deselect a specific boundary. Click Display after =
you have selected your boundaries.
=
Define Solver Properties
Define > Models > Solver...
We see that FLUENT offers two methods ("solvers") for solving the govern=
ing equations: Pressure-Based and Density-Based. To figure out the basic di=
fference between these two solvers, let's turn to the documentation.
Main Menu > Help > User's Guide Contents ...
This should bring up FLUENT 12.0 User's Guide in your web brows=
er. If not, access the User's Guide from the Start menu: Start >=
Programs > ANSYS 12.0 > Help > FLUENT Help. This will br=
ing up the FLUENT documentation in your browser. Click on the link to the u=
ser's guide.
Go to chapter 26 in the user's guide. It discusses the Pressure-Based an=
d Density-Based solvers. Section 26.1 introduces the two solvers:
" In ANSYS FLUENT, two solver technologies are availabl=
e:
- pressure-based
- density-based
Both solvers can be used for a broad range of flows, but in some cases o=
ne formulation may perform better (i.e., yield a solution more quickly or r=
esolve certain flow features better) than the other. The pressure-based and=
density-based approaches differ in the way that the continuity, momentum, =
and (where appropriate) energy and species equations are solved, as describ=
ed in this section in th=
e separate +Theory Guide.+The pressure-based solver traditionally has been =
used for incompressible and mildly compressible flows. The density-based ap=
proach, on the other hand, was originally designed for high-speed compressi=
ble flows. Both approaches are now applicable to a broad range of flows (fr=
om incompressible to highly compressible), but the origins of the density-b=
ased formulation may give it an accuracy (i.e. shock resolution) advantage =
over the pressure-based solver for high-speed compressible flows."
Since we are solving a high-speed compressible flow, let's pick the dens=
ity-based solver.
In the Solver menu, select <=
em>Density Based.
Under Space, choose Axis=
ymmetric. This will solve the axisymmetric form of the=
governing equations.
Then we will setup the models for the problem:
Define > Models > Energy > Edit
The energy equation needs to be turned on since this is a compressible f=
low where the energy equation is coupled to the continuity and momentum equ=
ations.
Make sure there is a check box next to Energy Equation and click OK.
Define > Models > Viscous - Laminar > Edit
Select Inviscid<=
/strong> under Mo=
del.
Click OK.
This means the solver will neglect the viscous terms in the governing eq=
uations.
Define > Materials
Select air under Fluid mater=
ials and click the <=
strong>Create/Edit... button. Under Properties, choos=
e Ideal Gas next to Density=
. You should see the window expand. This means FLUENT =
uses the ideal gas equation of state to relate density to the static pressu=
re and temperature.
Click Change/Create=
em>. Close the window.
Define > Operating Conditions
We'll work in terms of absolute rather than gauge pressures in this exam=
ple. So set Operating Pr=
essure in the <=
strong>Pressure box to 0.
Click OK.
It is important that you set the operating pressure correctly in compres=
sible flow calculations since FLUENT uses it to compute the absolute pressu=
re used in the ideal gas law.
Define > Boundary Conditions
Set boundary conditions for the following surfaces: inlet, outlet, cente=
rline, wall.
Select inlet under Zone<=
/em> and pick pressure-inlet under Type as its boundary condition=
. Automatically, the Pressure Inlet window should come up.
Set the total pressure (noted as =
Gauge Total Pressure in FLUENT) at the inl=
et to 101,325 Pa as specified in the problem statement. For a subsonic inle=
t, Supersonic/Initial Ga=
uge Pressure is the initial guess value for the static=
pressure. This initial guess value can be calculated from the 1D analysis =
since we know the area ratio at the inlet. This value is 99,348 Pa. Note th=
at this value will be updated by the code. After you have entered the value=
s check that under the T=
hermal tab, the Total Temperature is 300
K. T=
hen click OK to close the window.
Using the same steps as above, pick pressure-outlet as the boundary conditi=
on for the outlet=
strong> surface. Then, when the Pressure Outlet window come=
s up, set the pressure to 3738.9 as specified in the problem statement. Cli=
ck OK.
Set the centerline zone to <=
em>axis boundary type. Accept any prompts that might a=
ppear and leave the name as centerline if you'd like.
Make sure that wall=
em> zone is set to <=
strong>wall boundary type.
Go to Step 5: Solution
See and rate the complete Learning Mo=
dule
Go to all FLUENT=
Learning Modules
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