Flow in an Intake Manifold
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- Letitia Nichols
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1 Tutorial 2. Flow in an Intake Manifold Introduction The purpose of this tutorial is to model turbulent flow in a simple intake manifold geometry. An intake manifold is a system of passages which carry the fuel mixture from the carburetor to the intake valves of the engine. It is used to distribute the fuel into the cylinder ports. This tutorial studies the flow distribution in such type of manifold. In this tutorial you will learn how to: Setup a turbulent flow model. Set the turbulent boundary conditions for the inlet and outlet. Monitor the convergence using point monitors. Inject inert particle in the domain. Postprocess the flow variables and display the particle tracks. Prerequisites This tutorial assumes that you have little experience with FLUENT but are familiar with the interface. Problem Description Figure 2.1 shows the schematic of geometry to be considered in this tutorial. The air is flowing at a velocity of 15 m/sec. The dimensions of the inlet and outlet boundaries are as follows: Boundary Length (m) Inlet Outlet Outlet Outlet Outlet c Fluent Inc. August 18,
2 Figure 2.1: Problem Schematic Preparation 1. Copy the mesh file, intake.msh to your working directory. 2. Start the 2D solver of FLUENT. Setup and Solution Step 1: Grid 1. Read the grid file, intake.msh. File Read Case... FLUENT will read the mesh file and report the progress in the console window. 2. Check the grid. Grid Check This procedure checks the integrity of the mesh. Make sure the reported minimum volume is a positive number. 3. Check the scale of the grid. Grid Scale... Check the domain extents to see if they correspond to the actual physical dimensions. If they do not, then the grid has to be scaled with proper units. In this case, the geometry was created in mm and needs to be scaled. 2-2 c Fluent Inc. August 18, 2005
3 (a) Select mm in the Grid Was Created In drop-down list. (b) Click Scale. Check if the domain extents are modified or not. 4. Display the grid (Figure 2.2). Display Grid... (a) Click Display to display the grid (Figure 2.2). c Fluent Inc. August 18,
4 Figure 2.2: Grid Display Step 2: Models 1. Retain the default solver settings. Define Models Solver... The problem is to be solved in steady state with 2D laminar conditions. 2. Enable standard k ɛ turbulence model. Define Models Viscous c Fluent Inc. August 18, 2005
5 (a) Under Model, enable k-epsilon (2 eqn). (b) Click OK to accept the settings and close the panel. The Reynolds number can be calculated at the inlet using a built-in calculator in FLUENT. R e = U D i ρ µ (2.1) where, Di = The inlet diameter ( m). U = The velocity at inlet (15 m/s). This expression can be evaluated in the FLUENT console window by entering the above equation using the corresponding values in the console as shown below: (/ (* ) e-5) Press Enter key. The value of Re will be reported as showing that the flow is turbulent. c Fluent Inc. August 18,
6 Step 3: Materials 1. Keep default material properties. Define Materials c Fluent Inc. August 18, 2005
7 Step 4: Boundary Conditions Define Boundary Conditions Set the boundary condition for velocity inlet (inlet). (a) Under Zone, select inlet. This Type will be reported as velocity-inlet. (b) Click Set... The Velocity Inlet panel opens. i. Specify a value of 15 for Velocity Magnitude (m/s). ii. Select Intensity and Hydraulic Diameter as Turbulence Specification Method. iii. Specify a value of 4 for Turbulent Intensity and a value of for Hydraulic Diameter. c Fluent Inc. August 18,
8 Turbulent Intensity can be calculated using the relation: T.I = 0.16 Re 1/8 The length of inlet can be used as Hydraulic Diameter. iv. Click OK to close Velocity Inlet panel. 2. Set the boundary condition for outlet (outlet1). (a) Under Zone, select outlet1. This Type will be reported as pressure-outlet. (b) Click Set... The Pressure Outlet panel opens. i. Keep default value of Gauge Pressure. ii. Select Intensity and Hydraulic Diameter as Turbulence Specification Method. iii. Set Backflow Turbulent Intensity to 5. This will only be used in case of reverse flow from this boundary. iv. Set Hydraulic Diameter to This value corresponds to the length of outlet1 boundary. 3. Specify similar boundary conditions for the remaining outlets. The only change is to specify the Hydraulic Diameter for each outlet corresponding to the dimensions mentioned in problem description. 2-8 c Fluent Inc. August 18, 2005
9 Step 5: Solution 1. Set the solution controls. Solve Controls Solution... (a) Keep default parameters in the Solution Controls panel. 2. Initialize the flow. Solve Initialize Initialize... (a) Select inlet in the Compute From drop-down list. The values of all the variables based on the boundary conditions at inlet will get updated. (b) Click Init and close the panel. The flow will get initialized with appropriate values of velocity and turbulence parameters. 3. Enable the plotting of residuals during the calculation. Solve Monitors Residuals... c Fluent Inc. August 18,
10 (a) Under Options, enable Plot. (b) Click OK to accept the settings and close the panel. 4. Save the case file (intake1.cas.gz). File Write Case... Retain the default Write Binary Files option so that you can write a binary file. The.gz option will save compressed files on both, Windows and UNIX platforms. 5. Start the calculation by requesting 200 iterations. Solve Iterate... (a) Set Number of Iterations to 200. (b) Click Iterate. The solution converges in about 82 iterations with default convergence criteria. The residuals plot is shown in Figure c Fluent Inc. August 18, 2005
11 Figure 2.3: Scaled Residuals 6. Create point surfaces. To check whether the flow variables have reached a constant value or not, monitor the average values for some of the relevant parameters. In this case, track velocity magnitude, pressure, and turbulence kinetic energy over three points in the flow domain. Surface Point... (a) Under Coordinates, specify a value of for x0 and a value of for y0. (b) Set the New Surface Name as point-1. (c) Click Create. c Fluent Inc. August 18,
12 (d) Similarly, create two more monitor points using following values: Point x0 y0 point point Monitor vertex average velocity magnitude at the first point surface. Solve Monitors Surface... (a) Increase the number of Surface Monitors to 3. (b) Enable Plot for all three monitors. (c) Click on Define... next to monitor-1. i. Select Velocity... and Velocity Magnitude in the Report of drop-down list. ii. Under Surfaces, select point-1. iii. Select Vertex Average in the Report Type drop-down list. iv. Click OK to accept the settings. (d) Similarly, set the monitors for static pressure and turbulent kinetic energy at point-2 and point-3 respectively c Fluent Inc. August 18, 2005
13 8. Set second order upwind scheme for momentum. Solve Controls Solution... (a) Under Discretization, select Second Order Upwind for Momentum. (b) Click OK. 9. Disable the convergence criteria for all the equations. For a better convergence, the iterations need to be performed till all the monitors flatten out. Therefore, disable the convergence criteria. Solve Monitors Residuals... (a) Disable the Check Convergence option for all equations. (b) Click OK. 10. Iterate the solution till all the monitors reach a constant value, as shown in Figures 2.4 and 2.5. c Fluent Inc. August 18,
14 Figure 2.4: Convergence History of Velocity Magnitude on point-1 Figure 2.5: Convergence History of Static Pressure on point c Fluent Inc. August 18, 2005
15 Step 6: Postprocessing 1. Display velocity vectors (Figure 2.6). Display Vectors... (a) Select Velocity in the Vectors of drop-down list. (b) Select Velocity... and Velocity Magnitude in the Color by drop-down list. (c) Click Display (Figure 2.6). Figure 2.6: Velocity Vectors c Fluent Inc. August 18,
16 2. Display the pressure contours (Figure 2.7). Display Contours... (a) Under Contours of, retain the default options, Pressure... and Static Pressure. (b) Under Options, enable Filled. (c) Click Display. Figure 2.7: Contours of Static Pressure Right-click on a point in the domain to display the value of the corresponding contour in the console window c Fluent Inc. August 18, 2005
17 3. Define injections. Define Injections... (a) In the Injections panel, click Create. (b) Inject inert particles from the inlet. i. Select Surface in the Injection Type drop-down list. ii. Under Release From Surfaces, select inlet. iii. Click OK to accept the settings. c Fluent Inc. August 18,
18 4. Display the particle tracks (Figure 2.8). Display Particle Tracks... (a) Select injection-0 under Release from Injections. (b) Click Display. Figure 2.8: Particle Tracks 2-18 c Fluent Inc. August 18, 2005
19 In Figure 2.8, observe that the particle tracks end before reaching the outlet. In each step, particles travel a distance and there is a limit on the total number of steps. By default it is set to 500. As this value is not sufficient to get the complete particle track, you need to set the maximum number of steps such that the particles escape through the outlet. It can be achieved by changing the Max. Number of Steps in the Discrete Phase Model panel. 5. Change the maximum number of steps. Define Models Discrete Phase... (a) Set the Max. Number of Steps to (b) Click OK to accept the settings. 6. Display particle tracks again (Figure 2.9). The particle track now passes through the outlets. c Fluent Inc. August 18,
20 Figure 2.9: Particle Tracks 7. Write particle trajectories to a file. Report Discrete Phase Sample... (a) Under Release From Injections, select injection-0. (b) Under Boundaries, select all the outlet surfaces c Fluent Inc. August 18, 2005
21 (c) Click Compute. This will write out four.dpm files containing the information of particles that pass through the corresponding outlet. This information can be used to check the fraction of particles cross the outlet. It should correspond to the fraction of mass flow rate flowing through the particular outlet. 8. Save the case and data files (intake2.cas.gz and intake2.dat.gz). File Write Case & Data... Summary In this tutorial you learned how to judge a convergence by employing couple of monitors for scalar variables or integrated quantities of interest. You also learned that the iterations should not be stopped when residuals drop below the default convergence criteria. Particle tracks can be used to visualize the flow path by adjusting the maximum number of steps. References 1. J.B. Hywood, Internal Combustion Engine Fundamentals, McGraw Hill Int. Ed., Ch. 9: pp Exercises/Discussions 1. How will you change the set up if same flow is expected from all the outlets? 2. What effect will the turbulence models have on the flow distribution? 3. If the particle diameter is increased, how will they move in the domain? Will they start affecting the main flow in that case? Links for Further Reading Systems/Fuel System/Intake Manifold/ sbchev.html c Fluent Inc. August 18,
22 2-22 c Fluent Inc. August 18, 2005
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