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    Tutorial 7. Using a Non-Conformal Mesh

    Introduction

    Film cooling is a process that is used to protect turbine vanes in a gas turbine engine fromexposure to hot combustion gases. This tutorial illustrates how to set up and solve a filmcooling problem using a non-conformal mesh. The system that is modeled consists ofthree parts: a duct, a hole array, and a plenum. The duct is modeled using a hexahedralmesh, and the plenum and hole regions are modeled using a tetrahedral mesh. These twomeshes are merged together to form a hybrid mesh, with a non-conformal interfaceboundary between them.

    Due to the symmetry of the hole array, only a portion of the geometry is modeled inANSYS FLUENT, with symmetry applied to the outer boundaries. The duct contains ahigh-velocity fluid in streamwise flow (Figure7.1). An array of holes intersects the ductat an inclined angle, and a cooler fluid is injected into the holes from a plenum. Thecoolant that moves through the holes acts to cool the surface of the duct, downstream ofthe injection. Both fluids are air, and the flow is classified as turbulent. The velocity andtemperature of the streamwise and cross-flow fluids are known, and ANSYS FLUENT isused to predict the flow and temperature fields that result from convective heat transfer.

    This tutorial demonstrates how to do the following:

    Merge hexahedral and tetrahedral meshes to form a hybrid mesh.

    Create a non-conformal mesh interface.

    Model heat transfer across a non-conformal interface with specified temperatureand velocity boundary conditions.

    Calculate a solution using the pressure-based solver.

    Plot temperature profiles on specified isosurfaces.

    Prerequisites

    This tutorial is written with the assumption that you have completed Tutorial 1, andthat you are familiar with the ANSYS FLUENT navigation pane and menu structure.Some steps in the setup and solution procedure will not be shown explicitly.

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    Problem Description

    This problem considers a model of a 3D section of a film cooling test rig. A schematicof the problem is shown in Figure 7.1. The problem consists of a duct, 49 in long,with cross-sectional dimensions of 0.75 in 5 in. An array of uniformly spaced holes islocated at the bottom of the duct. Each hole has a diameter of 0.5 inches, is inclined at

    35 degrees, and is spaced 1.5 inches apart laterally. Cooler injected air enters the systemthrough the plenum having cross-sectional dimensions of 3.3 in 1.25 in.

    Only a portion of the domain needs to be modeled because of the symmetry of thegeometry. The bulk temperature of the streamwise air (T) is 450 K, and the velocityof the air stream is 20 m/s. The bottom wall of the duct that intersects the hole arrayis assumed to be a completely insulated (adiabatic) wall. The secondary (injected) airenters the plenum at a uniform velocity of 0.4559 m/s. The temperature of the injectedair (Tinject) is 300 K. The properties of air that are used in the model are also mentionedin Figure7.1.

    8= 450 KT

    8= 450 KT

    35

    0.5 in

    = 0.000017894 kg/ms

    inject = 300 KT

    = 1006.43 J/kgKCp

    inject = 300 KT

    z

    x

    Hole1

    Plenum1

    Hole2

    Plenum2

    9.5 in

    0.5 in 0.5 in

    5 in

    3.3 in

    v = 20 m/s

    xy

    24 in

    0.75 in

    TOP VIEW

    1.25 in

    1.25 in

    FRONT VIEWv = 0.4559 m/s v = 0.4559 m/s

    49 in

    Figure 7.1: Schematic of the Problem

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    Setup and Solution

    Preparation

    1. Download non_conformal_mesh.zipfrom theUser Services Center to your workingfolder (as described in Tutorial1).

    2. Unzip non_conformal_mesh.zip.

    The filesfilm hex.mshandfilm tet.mshcan be found in the non conformal meshfolder created after unzipping the file.

    3. Use FLUENT Launcher to start the 3D version ofANSYS FLUENT.

    For more information about FLUENT Launcher, see Section1.1.2in the separateUsers Guide.

    Note: TheDisplay Options are enabled by default. Therefore, once you read in themesh, it will be displayed in the embedded graphics windows.

    Step 1: Mesh

    1. Read the hex mesh file film hex.msh.

    File Read Mesh...

    2. Append the tet mesh file film tet.msh.

    Mesh Zone Append Case File...

    TheAppend Case File... functionality allows you to combine two mesh files into one

    single mesh file.3. Check the mesh.

    General Check

    ANSYS FLUENT will perform various checks on the mesh and report the progressin the console. Make sure that the reported minimum volume is a positive number.

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    4. Scale the mesh and change the unit of length to inches.

    General Scale...

    (a) Make sure that Convert Units is selected in the Scaling group box.

    (b) Select in from the Mesh Was Created In drop-down list by first clicking thedown-arrow button and then clicking the in item from the list that appears.

    (c) ClickScale to scale the mesh.

    Domain Extents will continue to be reported in the default SI unit of meters.

    (d) Select in from the View Length Unit In drop-down list to set inches as the

    working unit for length.(e) Close the Scale Mesh dialog box.

    5. Check the mesh.

    General Check

    Note: It is a good idea to check the mesh after you manipulate it (i.e., scale,convert to polyhedra, merge, separate, fuse, add zones, or smooth and swap.)This will ensure that the quality of the mesh has not been compromised.

    6. Display an outline of the 3D mesh.

    General Display...

    (a) Retain the default selections in theSurfaceslist.

    (b) ClickDisplay.

    (c) Close the Mesh Display dialog box.

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    7. Manipulate the mesh display to obtain a front view as shown in Figure7.2.

    Graphics and Animations Views...

    (a) Select frontin the Views list.

    (b) ClickApply.

    (c) Close the Viewsdialog box.

    Y

    XZ

    MeshFLUENT 12.0 (3d, dp, pbns, lam)

    Figure 7.2: Hybrid Mesh for Film Cooling Problem

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    8. Zoom in using the middle mouse button to view the hole and plenum regions(Figure7.3).

    Figure 7.3: Hybrid Mesh (Zoomed-In View)

    In Figure 7.3, you can see the quadrilateral faces of the hexahedral cells that areused to model the duct region and the triangular faces of the tetrahedral cells thatare used to model the plenum and hole regions, resulting in a hybrid mesh.

    Extra: You can use the right mouse button to check which zone number corre-sponds to each boundary. If you click the right mouse button on one of theboundaries in the graphics window, its zone number, name, and type will beprinted in theANSYS FLUENT console. This feature is especially useful whenyou have several zones of the same type and you want to distinguish betweenthem quickly.

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    Step 2: General Settings

    General

    1. Retain the default solver settings.

    Step 3: Models

    Models

    1. Enable heat transfer by enabling the energy equation.Models Energy Edit...

    (a) ClickOK to close the Energydialog box.

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    2. Enable the standard k-turbulence model.

    Models Viscous Edit...

    (a) Select k-epsilon (2 eqn) in the Model list.

    TheViscous Model dialog box will expand to show the additional input optionsfor thek- model.

    (b) Retain the default settings for the remaining parameters.

    (c) ClickOK to close the Viscous Model dialog box.

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    Step 4: Materials

    Materials

    1. Define the material properties.

    Materials Fluid Create/Edit...

    (a) Retain the selection ofair from the FLUENT Fluid Materials drop-down list.

    (b) Select incompressible-ideal-gas law from the Densitydrop-down list.

    The incompressible ideal gas law is used when pressure variations are smallbut temperature variations are large. The incompressible ideal gas option fordensity treats the fluid density as a function of temperature only. If the abovecondition is satisfied, the incompressible ideal gas law generally gives better

    convergence compared to the ideal gas law, without sacrificing accuracy.

    (c) Retain the default values for all other properties.

    (d) Click Change/Create and close theCreate/Edit Materials dialog box.

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    Step 5: Operating Conditions

    Boundary Conditions Operating Conditions...

    1. Retain the default operating conditions.

    2. ClickOK to close the Operating Conditions dialog box.

    For theincompressible-ideal-gas lawselected here for air, the constant pressure usedfor the density calculation is theOperating Pressure specified in this dialog box. So,make sure that theOperating Pressure is close to the mean pressure of the domain.

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    Step 6: Cell Zone Conditions

    Cell Zone Conditions

    1. Set the conditions for the fluid in the duct (fluid-9).

    Cell Zone Conditions fluid-9 Edit...

    (a) Change the Zone Name from fluid-9to fluid-duct.

    (b) Retain the default selection ofair from the Material Name drop-down list.

    (c) ClickOK to close the Fluid dialog box.

    2. Set the conditions for the fluid in the first plenum and hole (fluid-8).

    Cell Zone Conditions fluid-8 Edit...

    (a) Change the Zone Name from fluid-8to fluid-plenum1.

    (b) Retain the default selection ofair from the Material Name drop-down list.

    (c) ClickOK to close the Fluid dialog box.

    3. Set the conditions for the fluid in the second plenum and hole ( fluid-9.1).Cell Zone Conditions fluid-9.1 Edit...

    (a) Change the Zone Name from fluid-9.1 to fluid-plenum2.

    (b) Retain the default selection ofair from the Material Name drop-down list.

    (c) ClickOK to close the Fluid dialog box.

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    Step 7: Boundary Conditions

    Boundary Conditions

    1. Set the boundary conditions for the streamwise flow inlet (velocity-inlet-1).

    Boundary Conditions velocity-inlet-1 Edit...

    (a) Change the Zone Name from velocity-inlet-1to velocity-inlet-duct.

    (b) Enter 20 m/s for the Velocity Magnitude.(c) Select Intensity and Hydraulic Diameter from the Specification Method drop-

    down list in the Turbulencegroup box.

    (d) Enter 1% and 5 in for the Turbulent Intensity and the Hydraulic Diameter,respectively.

    (e) Click the Thermal tab and enter 450 K for the Temperature.

    (f) ClickOK to close the Velocity Inlet dialog box.

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    2. Set the boundary conditions for the first injected stream inlet (velocity-inlet-5).

    Boundary Conditions velocity-inlet-5 Edit...

    (a) Change theZone Namefrom velocity-inlet-5to velocity-inlet-plenum1.

    (b) Enter 0.4559m/s for the Velocity Magnitude.

    (c) Select Intensity and Viscosity Ratio from the Specification Method drop-downlist in the Turbulence group box.

    (d) Enter 1% for Turbulent Intensity and retain the default setting of 10 for Tur-bulent Viscosity Ratio.

    (e) Click the Thermal tab and retain the setting of 300 K for Temperature.

    (f) ClickOK to close the Velocity Inlet dialog box.

    In the absence of any identifiable length scale for turbulence, the Intensity and Vis-cosity Ratio method should be used.

    For more information about setting the boundary conditions for turbulence, seeChapter12 in the separateUsers Guide.

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    3. Copy the boundary conditions set for the first injected stream inlet.

    Boundary Conditions velocity-inlet-plenum1 Copy...

    (a) Select velocity-inlet-plenum1in the From Boundary Zone selection list.

    (b) Select velocity-inlet-6 in the To Boundary Zones selection list.

    (c) ClickCopy.

    A Warning dialog box will open, asking if you want to copy velocity-inlet-plenum1 boundary conditions to (velocity-inlet-6). ClickOK.

    (d) Close the Copy Conditions dialog box.

    ! Copying a boundary condition does not create a link from one zone to

    another. If you want to change the boundary conditions on these zones,you will have to change each one separately.

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    4. Set the boundary conditions for the second injected stream inlet ( velocity-inlet-6).

    Boundary Conditions velocity-inlet-6 Edit...

    (a) Change theZone Namefrom velocity-inlet-6to velocity-inlet-plenum2.

    (b) Verify that the boundary conditions were copied correctly.

    (c) ClickOK to close the Velocity Inlet dialog box.

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    5. Set the boundary conditions for the flow exit (pressure-outlet-1).

    Boundary Conditions pressure-outlet-1 Edit...

    (a) Change theZone Namefrom pressure-outlet-1to pressure-outlet-duct.

    (b) Retain the default setting of 0 Pa for Gauge Pressure.

    (c) Select Intensity and Viscosity Ratio from the Specification Method drop-downlist in the Turbulence group box.

    (d) Enter 1% forBackflow Turbulent Intensityand retain the default setting of 10forBackflow Turbulent Viscosity Ratio.

    (e) Click the Thermal tab and enter 450 K forBackflow Total Temperature.

    (f) ClickOK to close the Pressure Outlet dialog box.

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    6. Retain the default boundary conditions for the plenum and hole walls (wall-4 andwall-5).

    Boundary Conditions wall-4 Edit...

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    7. Verify that the symmetry planes are set to the correct type in the Boundary Condi-tionstask page.

    Boundary Conditions

    (a) Select symmetry-1in the Zone list.(b) Make sure that symmetryis selected from the Type drop-down list.

    (c) Similarly, verify that the zones symmetry-5, symmetry-7, symmetry-tet1, andsymmetry-tet2are set to the correct type.

    8. Define the zones on the non-conformal boundary as interface zones by changing theTypeforwall-1, wall-7, andwall-8 to interface.

    The non-conformal mesh interface contains three boundary zones: wall-1, wall-7,and wall-8. wall-1 is the bottom surface of the duct, wall-7 andwall-8 represent theholes through which the cool air is injected from the plenum (Figure 7.4). These

    boundaries were defined as walls in the original mesh files (film hex.msh andfilm tet.msh) and must be redefined asinterface boundary types.

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    (a) Open theMesh Display dialog box.

    General Display...

    i. Selectwall-1, wall-7, andwall-8 from the Surfaces selection list.

    Use the scroll bar to access the surfaces that are not initially visible in the

    Mesh Display dialog box.Note: You may need to deselect all surfaces first by selecting the unshaded

    icon to the far right of Surfaces.

    ii. ClickDisplay and close theMesh Display dialog box.

    (b) Display the bottom view.

    Graphics and Animations Views...

    i. Selectbottom in theViews list and clickApply.

    ii. Close theViews dialog box.

    Zoom in using the middle mouse button. Figure7.4 shows the mesh forthewall-1andwall-7 boundaries (i.e., hole-1). Similarly, you can zoom into see the mesh for thewall-1 andwall-8 boundaries (i.e., hole-2).

    Figure 7.4: Mesh for the wall-1 and wall-7 Boundaries

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    (a) Select wall-1in theZone list and selectinterfaceas the new Type.

    Boundary Conditions

    AQuestion dialog box will open, asking if it isOKto change the type ofwall-1fromwall to interface. ClickYes in theQuestion dialog box.

    The Interface dialog box will open and give the default name for the newlycreated interface zone.

    i. Change the Zone Name to interface-duct.

    ii. ClickOK to close the Interface dialog box.

    (b) Similarly, convert wall-7 and wall-8 to interface boundary zones, specifyinginterface-hole1 and interface-hole2 for Zone Name, respectively.

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    Step 8: Mesh Interfaces

    Mesh Interfaces

    In this step, you will create a non-conformal mesh interface between the hexahedral andtetrahedral meshes.

    Mesh Interfaces Create/Edit...

    1. Selectinterface-hole1and interface-hole2in the Interface Zone 1 selection list.

    ! When one interface zone is smaller than the other, choose the smaller zone

    as Interface Zone 1.

    2. Select interface-duct from the Interface Zone 2 selection list.

    3. Enter junction forMesh Interface.

    4. ClickCreate.In the process of creating the mesh interface, ANSYS FLUENTwill create three newwall boundary zones: wall-24, wall-25, andwall-26.

    wall-24 and wall-25 are the non-overlapping regions of theinterface-hole1 andinterface-zone2 zones that result from the intersection of theinterface-hole1,

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    interface-hole2, and interface-ductboundary zones. They are listed underBound-ary Zone 1in theCreate/Edit Mesh Interfacesdialog box. These wall boundariesare empty, sinceinterface-hole1 andinterface-hole2 are completely containedwithin the interface-duct boundary.

    wall-26is the non-overlapping region of the interface-ductzone that results from

    the intersection of the three interface zones, and is listed underBoundary Zone2 in theCreate/Edit Mesh Interfaces dialog box.

    You willnotbe able to display these walls.

    ! You need to set boundary conditions forwall-26(since it is not empty). In

    this case, the default settings are used.

    5. Close the Create/Edit Mesh Interfaces dialog box.

    Step 9: Solution

    1. Set the solution parameters.

    Solution Methods

    (a) SelectSecond Order Upwindfrom theMomentum,Turbulent Kinetic Energy,Tur-bulent Dissipation Rate, andEnergydrop-down lists in theSpatial Discretizationgroup box.

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    2. Enable the plotting of residuals.

    Monitors Residuals Edit...

    (a) Make sure Plot is enabled in the Optionsgroup box.

    (b) ClickOK to close the Residual Monitors panel.

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    3. Initialize the solution.

    Solution Initialization

    (a) Select velocity-inlet-duct from the Compute from drop-down list.

    (b) ClickInitialize.

    4. Save the case file (filmcool.cas.gz).

    File Write Case...

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    5. Start the calculation by requesting 250 iterations.

    Run Calculation

    (a) Enter 250 for the Number of Iterations.

    (b) ClickCalculate.

    Note: During the first few iterations, the console reports that turbulent viscos-ity is limited in a couple of cells. The console should no longer display thismessage as the solution converges and the turbulent viscosity approachesmore reasonable levels.

    The solution converges after approximately 125 iterations.

    6. Save the case and data files (filmcool.cas.gz

    and filmcool.dat.gz

    ).File Write Case & Data...

    Note: If you choose a file name that already exists in the current folder, ANSYSFLUENTwill prompt you for confirmation to overwrite the file.

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    Step 10: Postprocessing

    1. Reset the view to the default view if you changed the default display of the mesh.

    Graphics and Animations Views...

    (a) ClickDefaultin theActionsgroup box and close the Viewsdialog box.

    2. Display filled contours of static pressure (Figure 7.5).

    Graphics and Animations Contours Set Up...

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    (a) Enable Filled in theOptions group box.

    (b) Make sure Pressure... and Static Pressure are selected from the Contours ofdrop-down lists.

    (c) Select interface-duct,interface-hole1,interface-hole2,symmetry-1,symmetry-tet1,symmetry-tet2, wall-4, andwall-5 in the Surfaces selection list.

    Use the scroll bar to access the surfaces that are not initially visible in theContours dialog box.

    (d) ClickDisplayin the Contoursdialog box.

    Contours of Static Pressure (pascal)FLUENT 12.0 (3d, pbns, ske)

    1.69e+0

    1.57e+0

    1.45e+0

    1.33e+0

    1.21e+0

    1.09e+0

    9.72e+01

    8.53e+01

    7.33e+01

    6.13e+01

    4.93e+01

    3.73e+01

    2.54e+01

    1.34e+01

    1.40e+0

    -1.06e+0

    -2.26e+0

    -3.45e+0

    -4.65e+0

    -5.85e+0

    -7.05e+0

    Y

    XZ

    Figure 7.5: Contours of Static Pressure

    The maximum pressure change (see Figure7.5) is only 239 Pa. Compared toa mean pressure of 1.013e5 Pa, the variation is less than 0.3%, and thus theuse of the incompressible ideal gas law is appropriate.

    (e) Zoom in on the view to display the contours at the holes (Figures7.6and7.7).

    Note the high/low pressure zones on the upstream/downstream sides of thecoolant hole, where the jet first penetrates the primary flow in the duct.

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    Figure 7.6: Contours of Static Pressure at the First Hole

    Figure 7.7: Contours of Static Pressure at the Second Hole

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    3. Display filled contours of static temperature (Figures7.8and7.9).

    Graphics and Animations Contours Set Up...

    (a) Select Temperature... andStatic Temperature from the Contours ofdrop-downlists.

    (b) Disable Auto Range in the Options group box so that you can change the

    maximum and minimum temperature gradient values to be plotted.(c) Enter 300 forMin and 450 for Max.

    (d) Disable Clip to Range in the Options group box.

    (e) Make sure that, interface-duct,interface-hole1,interface-hole2,symmetry-1,symmetry-tet1,symmetry-tet2,wall-4, andwall-5, are selected from theSurfacesselectionlist.

    (f) ClickDisplayand close the Contours dialog box.

    (g) Zoom in on the view to get the display shown in Figure7.9.

    Figures7.8and7.9clearly show how the coolant flow insulates the bottom ofthe duct from the higher-temperature primary flow.

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    Figure 7.8: Contours of Static Temperature

    Figure 7.9: Contours of Static Temperature (Zoomed-In View)

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    4. Display the velocity vectors (Figure7.10).

    Graphics and Animations Vectors Set Up...

    (a) Make sure Velocity... and Velocity Magnitude are selected from the Color by

    drop-down lists.(b) Enable Auto Range in the Options group box

    (c) Enter 2 for the Scale.

    This enlarges the displayed vectors, making it easier to view the flow patterns.

    (d) Make sure that, interface-duct,interface-hole1,interface-hole2,symmetry-1,symmetry-tet1,symmetry-tet2,wall-4, andwall-5, are selected from theSurfacesselectionlist.

    Use the scroll bar to access the surfaces that are not initially visible in thedialog box.

    (e) ClickDisplayand close the Vectors dialog box.

    (f) Zoom in on the view to get the display shown in Figure 7.10.

    In Figure7.10, the flow pattern in the vicinity of the coolant hole shows the level ofpenetration of the coolant jet into the main flow. Note that the velocity field variessmoothly across the non-conformal interface.

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    Figure 7.10: Velocity Vectors

    5. Create an isosurface along a horizontal cross-section of the duct, 0.1 inches abovethe bottom, at y = 0.1 in.

    Surface Iso-Surface...

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    (a) SelectMesh... andY-Coordinatefrom the Surface of Constant drop-down lists.

    (b) Enter 0.1 for Iso-Values.

    (c) Enter y=0.1in for New Surface Name.

    (d) ClickCreate.

    (e) Close the Iso-Surfacedialog box.

    6. Create an XY plot of static temperature on the isosurface created (Figure 7.11).

    Plots XY Plot Set Up...

    (a) Retain the default values in thePlot Direction group box.

    (b) Select Temperature... and Static Temperature from the Y-Axis Function drop-down lists.

    (c) Selecty=0.1in in the Surfacesselection list.

    Scroll down using the scroll bar to accessy=0.1in.

    (d) ClickPlot.

    In Figure 7.11, you can see how the temperature of the fluid changes as thecool air from the injection holes mixes with the primary flow. The temperature

    is coolest just downstream of the holes. You can also make a similar plot onthe lower wall to examine the wall surface temperature.

    (e) Close the Solution XY Plot dialog box.

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    Figure 7.11: Static Temperature at y=0.1 in

    Summary

    This tutorial demonstrated how the non-conformal mesh interface capability in ANSYSFLUENTcan be used to handle hybrid meshes for complex geometries, such as the filmcooling hole configuration examined here. One of the principal advantages of this ap-proach is that it allows you to merge existing component meshes together to create alarger, more complex mesh system, without requiring that the different components havethe same node locations on their shared boundaries. Thus, you can perform paramet-ric studies by merging the desired meshes, creating the non-conformal interface(s), and

    solving the model. For example, in the present case, you can do the following:

    Use a different hole/plenum mesh.

    Reposition the existing hole/plenum mesh.

    Add additional hole/plenum meshes to create aligned or staggered multiple holearrays.

    Further Improvements

    This tutorial guides you through the steps to reach an initial solution. You may be ableto obtain a more accurate solution by using an appropriate higher-order discretizationscheme and by adapting the mesh. Mesh adaption can also ensure that the solution isindependent of the mesh. These steps are demonstrated in Tutorial 1.

    http://tut01.pdf/

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