This technical paper presents the flow simulation of VAN, VAN + Trailer, VAN + Modified Trailer using CFD analysis. The pressure distribution and drag co-efficient is the most important factor in vehicle design.
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CFD Analysis of VAN and Trailer
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Table of Content: 1.0 Abstract3 2.0 Introduction3 3.0 Methodology 3.1 Vehicle Geometry4 3.2 Set up of Boundary Condition5 3.3 Meshing7 3.4 Solution Set up11 3.5 Boundary Condition11 3.6 Solver Set up12 4.0 Result and Post Processing15 4.1 Iteration Process16 4.2 Pressure Distribution19 4.3 Velocity Streamline22 5.0 Conclusion23 List of Figure25 List of Table26 Reference27
1.0Abstract: Aerodynamic forces play a major role in vehicle design and operation. This force impact vehicle by drag, lift weight, trust and side forces on the vehicle which causes the stability and fuel consumption of the vehicle. The pressure distribution and drag co-efficient is the most important factor in vehicle design. This technical paper presents the flow simulation of VAN, VAN + Trailer, VAN + Modified Trailer. The solution is done using velocity input, drag co-efficient on the models and velocity and pressure distribution. Based the result of the Van + Box Trailer the trailer modified and the modified trailer was flow simulation was done. 2.0Introduction: High speed with better road stability is the major factors playing the vehicle design and transportation engineering. Also the fuel efficiency plays a role in the marketing of new launched vehicle. As the aerodynamic forces affect the drag, lift weight and road stability as it ultimately affects the fuel consumption. Aerodynamic drag isproportionalto the square of the velocity of the vehicle. Therefor the CFD analysis modifies the vehicle structure also increases the fuel efficiency. CFD has increasingly provided the methodology behind an important design tool for the automotive industries.Also the Aerodynamic study gives result for noise emmsion and undesired lift force and instability during the high speed. CFD is defined as the Computational fluid dynamics is a numerical method which gives an approximate solution on fluid dynamic and heat transfer. Fig 1: Different Disciplines of CFD (Ref) Computational Fluid Dynamics Engineering Fluid Dynamics Mathematic s Computer Science
3.0 Literature Review CFD analysis of vehicle is done to calculate the pressure distribution, shear force distribution, the drag factor and the lift factor. Also CFD analysis gives a result or reaction while having on full throttle velocity or taking a turning on the road. The CFD calculation is based on two methods. Conventional Method Accelerated Method Conventional Method is widely used for simple calculation where the body profile is simple and one body is involved in the simulation. While the Accelerated method is a complex one. In this type of simulation method parallel simulation can be done. Here more than one body is involved for simulation process. Here we have taken VAN model as the basic of CFD analysis. Then a Box trailer is attached to the VAN and based on the result the box trailer is modified and the modified box trailer is CFD analyzed and result is calculated. VAN model is simple and conventional method is used. For CFD analysis one specific environment is considered. Therefore boundary condition is created across the body. Similar method is used for the other models. VAN + Box trailer model has two bodies but for the ease of analysis it is considered as one body and Conventional method of CFD analysis is done. Same concept is adapted for VAN + Mpdified box trailer model. The process of CFD analysis is as follows Flow Chart 1: CFD Simulation Process 3D ModelSet up Boundary Condition Meshing Set up Parameters for Solution SolutionPost Processing
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3.0 Methodology: 3.1 Vehicle Geometry: The below figure represents a standard VAN model along with the dimension. The van is modeled in smooth body and suitable opening for smooth airflow. The surface is generated for CFD simulation and walls for the boundary condition setting. VAN Model: Fig 1: VAN Geometry The below figure represents the VAN + Box trailer model along with the dimension. In this model 1 no box trailer is attached to existing van model and the dimension of the box trailer is 1.6 x 1.6 meter. VAN + Box Trailer Model: Fig 2: VAN + Box Trailer Design VAN + Modified Box Trailer Model:
The below figure represents the dimensional figure for VAN + Modified trailer. The only change is done by given curvature to the Box trailer as this will give more aerodynamic shape to the trailer. The dimension remain unchanged only the volume of the box trailer is reduced by 5% only. Fig 3: VAN + Modified Box Trailer Design 3.2 Set up of Boundary Condition: Boundary condition is set by constructing wall around the model. As this wall will give access to give boundary condition like inlet velocity, Outlet point for the pressure and the side walls for velocity analysis. VAN Model: Fig 4: VAN Wall for Boundary Condition VAN + Box Trailer Model:
Fig 5: VAN + Box Trailer wall for Boundary Condition The wall is constructed 1 meter around the model as it is give laminar flow for the velocity inlet and pressure outlet. Also it will give accurate result for the air flow distribution across the vehicle. VAN + Modified Box Model: Fig 6: VAN + Modified Box Trailer wall for Boundary Condition The modeling is done as as for the above two models The significance on the wall are as follows.
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Front wall for Velocity inlet Back wall for Velocity or pressure outlet Sides walls for the velocity distribution. The boundary wall is subtracted from the VAN model so both can be operated as two individual entity. This is done by bole an operation. 3.3 Meshing: VAN Model: Fig 7: Meshing of VAN Model Fig 8: Nodes and Element
Fig 9: Element Quality Tetraheadral meshing is selected for this model and the total element is 582021, which is quite good for this CFD analysis. The mesh quality is around 0.9 which is considered to be best. The low mesh quality is around the mirror region as it has lots of curvature so element size which is 50 mm is not properly covering the curvature. But considering this high quality mesh we can proceed further for the analysis part. Also the Mesh quality is checked for different values as per the below table ModelNo of ElementNo of NodesElement Quality Case 1425863885360.66 Case 25820211090600.9 Case 37258651965320.75 Table 1: Test Condition for Mesh Quality VAN Model VAN + Box Trailer Model: Fig 10: Meshing of VAN + Box Trailer Model
Fig 11: Nodes and Elements Fig 12: Element Quality Considering above data generated from the meshing the VAN + Box trailer model the number of elements is 896679 and the mesh quality is upto 0.88. The element size is defined as 50 mm. Here also the low mesh quality is for mirror reason and the reason is same. This data is good enough to proceed further for the solution type. ModelNo of ElementNo of NodesElement Quality Case 16258451250360.73 Case 28966791685820.88 Case 312584523256890.63 Table 2: Test Condition for Mesh Quality VAN + Box Trailer Model
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VAN + Modified Box Trailer Model Fig 13: Meshing of VAN + Modified CAD Model Fig 14: Nodes and Elements Fig 15: Element Quality Considering above data generated from the meshing the VAN + Box trailer model the number of elements is 899748 and the mesh quality is upto 0.88. The element size is defined as 50 mm. Here also the low mesh quality is for mirror reason and the reason is same. This data is good enough to proceed further for the solution type. ModelNo of ElementNo of NodesElement Quality
Case 16485781250360.69 Case 28997481691430.88 Case 312854253852680.58 Table 3: Test Condition for Mesh Quality VAN + Modified Box Trailer Model 3.4 Solution Set up: Solution set up is the parameter setting and setting the boundary condition for the model. In the present study all the computation is done using three dimensional RANS model with an industry standard finite volume based CFD codes. The set of equation solved are UN-steady condition, therefore we are using double precision method for boundary condition set up and solution. Navier equation in their conservation form for turbulent flow and averaging the steady, turbulent and in compressible flow. The governing equation for this is based on equation of continuity. The Turbulance modeling is based on standard k-Ɛ model is used for the simulation. This condition is not well defined near the wall. As this a relation velocity and the surface shear stress. 3.5 Boundary Condition: The boundary condition is as follows: FacesBoundary Condition Front FaceInflow Rear FaceInflow
Right FaceInviscid Wall Left FaceInviscid Wall Top FaceInviscid Wall FloorViscous Wall Vehicle BodyViscous Wall Table 4: Boundary Condition The inlet boundary condition is 70 miles/hr which is 31.1 m/s, Air density is taken as 1.225 kg/m3. The material selected is fluid as air and body as steel material. 3.6 Solver Set up: Fluid Properties: Density: 1.225 kg/m3 Dynamic Viscosity: 1.78 x 10-5 Pressure Velocity Coupling: SIMPLE (Semi Implicit method for Pressure Linked Equation) Reconstruction: Up wind scheme: UDS Scheme Order: SECOND Turbulance Model :k-Ɛ model with high Reynold’s number Initial Condition: Initial Pressure: 0 Initial Velocity: X = 70 miles / hr, Y = 0, Z = 0 Initial turbulance Intensity: 2 Initial Eddy Viscosity Ratio: 10
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VAN Model: The above parameters are given as the boundary condition. Fig 16: Cell Zone condition VAN Model Fig 17: Reference for Boundary Condition VAN Model
VAN + Box Trailer Model: Fig 18: Cell Zone Condition VAN + Box Trailer Fig 19: Reference for Boundary Condition for VAN + Box Trailer Model
VAN + Modified Box Trailer Model: Fig 20: Cell zone Condition VAN + Modified Trailer Fig 21: Reference for Boundary Condition for VAN + Modified Box Trailer Model 4.0 Result and Post Processing: Transient flow analysis is a CFD analysis where the velocity and pressure changes with the time. In this analysis the starting and stopping condition of the fluid system exists otherwise the system is in steady state. The oscillating pressure and velocity changes with time and the maximum time iteration per time is calculated and mentioned below.
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Time step value: 0.02 second Maximum iteration per time step: 20 Number of time step: 18000 4.1 Iteration Process: VAN Model: Fig 22: Iteration Method VAN Model Fig 23: Iteration Values VAN Model
VAN + BOX Trailer Model: Fig 24: Iteration method for VAN + Box Trailer Fig 25: Iteration Values VAN+ Box Trailer Model
VAN + Modified Box Trailer Model: Fig 26: Iteration method for VAN + Modified Box Trailer Fig 27: Iteration Values VAN+ Modified Box Trailer Model
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4.2 Pressure Distribution: VAN Model: Fig 28: Pressure Distribution VAN Model VAN + Box Trailer Model Fig 29: Pressure Distribution VAN + Box Trailer Model
VAN + Modified Box Trailer Model Fig 30: Pressure Distribution VAN + Modified Box Trailer Model The above figure represents the pressure distribution over the VAN, VAN + Box trailer model and VAN + Modified Box trailer model. The maximum pressure encountered on the front side of the VAN and the front side of the box trailer. VAN Model: Fig 31: Pressure Plot VAN Model
VAN + Box Trailer Model: Fig 32: Pressure Plot VAN + Box Trailer Model VAN + Modified Box Trailer Model: Fig 33: Pressure Plot VAN + Modified Box Trailer 4.3 Velocity Stream Line:
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VAN Model: Fig 34: Velocity Streamline VAN Model VAN + Box Trailer Model: Fig 35: Velocity Streamline VAN + Box Trailer Model VAN + Modified Box Trailer Model:
Fig 36: Velocity Streamline VAN + Modified Box Trailer Model 5.0 Conclusion: The result and parameters of both the models are tabulated as below Sl. No.Name of the parameter Values VAN ModelVAN + Box Trailer VAN + Modified Box Trailer 1Lift Co-efficient1.7631.5621.685 2Drag Co- efficient 0.3450.2590.325 3Velocity Stream Line 68.89 m/s63.54 m/s70.69 m/s 4Static Pressure842.5 Pa900 Pa853.6 Pa 5Co-efficient of Pressure -0.8-0.8-0.8-0.8-0.8-0.8 Table 5: Result of CFD Modeling
Fig 37: Velocity Streamline Profile for VAN + Modified Box Trailer On the basis the CFD analysis the experimental result is near to the accurate result. The result shows the models are safe as the lifting force and draging force is under safe limit. Also the velocity distribution around the body is streamline which shows there is less surface shear stress. Also the force is high the front portion in the bumper region. As the body has a streamline body, it has uniform pressure distribution around the body. Still to reduce the pressure on the Box Trailer, the design is modified. The modified Box trailer model has better value than the box trailer model.
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List of Figure: Fig 1: Different Disciplines of CFD (Ref) Fig 1: VAN Geometry Fig 2: VAN + Box Trailer Design Fig 3: VAN + Modified Box Trailer Design Fig 4: VAN Wall for Boundary Condition Fig 5: VAN + Box Trailer wall for Boundary Condition Fig 6: VAN + Modified Box Trailer wall for Boundary Condition Fig 7: Meshing of VAN Model Fig 8: Nodes and Element Fig 9: Element Quality Fig 10: Meshing of VAN + Box Trailer Model Fig 11: Nodes and Elements Fig 12: Element Quality Fig 13: Meshing of VAN + Modified CAD Model Fig 14: Nodes and Elements Fig 15: Element Quality Fig 16: Cell Zone condition VAN Model Fig 17: Reference for Boundary Condition VAN Model Fig 18: Cell Zone Condition VAN + Box Trailer Fig 19: Reference for Boundary Condition for VAN + Box Trailer Model Fig 20: Cell zone Condition VAN + Modified Trailer Fig 21: Reference for Boundary Condition for VAN + Modified Box Trailer Model Fig 22: Iteration Method VAN Model Fig 23: Iteration Values VAN Model Fig 24: Iteration method for VAN + Box Trailer Fig 25: Iteration Values VAN+ Box Trailer Model Fig 26: Iteration method for VAN + Modified Box Trailer Fig 27: Iteration Values VAN+ Modified Box Trailer Model Fig 28: Pressure Distribution VAN Model Fig 29: Pressure Distribution VAN + Box Trailer Model Fig 30: Pressure Distribution VAN + Modified Box Trailer Model Fig 31: Pressure Plot VAN Model Fig 32: Pressure Plot VAN + Box Trailer Model Fig 33: Pressure Plot VAN + Modified Box Trailer Fig 34: Velocity Streamline VAN Model Fig 35: Velocity Streamline VAN + Box Trailer Model Fig 36: Velocity Streamline VAN + Modified Box Trailer Model Fig 37: Velocity Streamline Profile for VAN + Modified Box Trailer
List of Table: Table 1: Test Condition for Mesh Quality VAN Model Table 2: Test Condition for Mesh Quality VAN + Box Trailer Model Table 3: Test Condition for Mesh Quality VAN + Modified Box Trailer Model Table 4: Boundary Condition Table 5: Result of CFD Modeling List of Flow Chart: Flow Chart 1: CFD Simulation Process
Reference: Milovanović M. (2013) Projektovanje karoserije automobila – monografija. Kragujevac. Srbija Gillespie T. (1992) Fundamentals of Vehicle Dynamics. Society of Automotive Engineers. USA Tickoo S. (2005) CatiaV5R17 for Designers. Purdue University Calumet and CADSIM Technologies. USA Anonim 1. (2013) User Guide Star-CCM+. CD-Adapco Coorporation. Melville. USA