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CFD modeling of a modified Ahmed Car Body for Reduced Drag

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This is to confirm that the thesis submitted by Abiil Kalarn Azad entitled "CED Modeling of a Mod fled Ahmed Car Body fi)r Reduced Drag" has been approved by the Examination Board in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Mathematics , Khulna University of Engineering &. The aerodynamic drag of the body has a significant effect on the car's fuel consumption. The CFD model is used to investigate and better understand the aerodynamic behavior of the flow around the vehicle.

Sometimes it is also necessary to select the roughness height based on the chosen turbulence model. From the two active and passive strategies, a passive strategy is chosen to reduce the drag over the Ahmed body. The grooves are located at the top, diagonal, top and diagonal and at the rear of the body.

I would like to thank all other professors of the Department of Mathematics at KUET for the necessary advice and cordial cooperation during my studies. Professor, Department of Mechanical and Chemical Engineering, Islamic University of Technology, Dhaka, Bangladesh, for his personal tribute to my thesis.

List of Tables

Nomenclature

1.0 INTRODUCTION

  • Research Background and Motivation
    • History of Vehicle Aerodynamics: A General Background
    • Ahmed Body
    • Airflow Around a Ground Vehicle
    • Some Important Types of Flows
    • Consequences of Turbulence
    • Physics of Turbulence Motion
    • Numerical Computation of Turbulent Flows
    • Vortex or Rotational Motion
    • Vortex Stretching
    • Body and Surface Force
    • No slip Condition
    • Boundary Layer Theory
    • Kolmogorov Hypothesis
    • Some Important Non dimensional Quantities
    • Grid Points
    • Turbulence Modeling
    • Drag Coefficient
    • Roughness Height
    • Computational Fkiid Dynamics CFD
  • Research Objectives
  • Thesis Outline

The location where the flow separates determines the size of the separation zone and thus the drag force. Driving at different yaw angles causes increased separated flow on the leeward side of the vehicle, adding more complexity to the flow. In the turbulent boundary layer, the flow is still streamlined in the sense that it follows the contours of the body.

In the turbulent boundary layer, some of the energy is dissipated by friction, causing the airflow velocity to decrease, resulting in a pressure increase. When this happens, the boundary layer flow stops following the contours of the surface, resulting in separation. Air particles downstream of the separation region will then move in the reverse direction of the main flow towards the lower pressure region.

Displacement thickness: Due to viscosity, the velocity in the vicinity of the plate is less than in the free-flow region. Reynolds number, Re: It is the most important fluid dynamics parameter of a viscous fluid.

Figure 1.1 (a, b): Geometric presentation of the body with 25°  slant angle
Figure 1.1 (a, b): Geometric presentation of the body with 25° slant angle

2.0 LITERATURE REVIEW

  • METHOLODOGY 3.1 CFD Software
  • Model Geometry
  • Transport Equations .1 Turbulence Models
    • Algebraic (zero-equation) Turbulence Models
    • One Equation Turbulence Models
    • Pressure Gradient Effects
    • Effect of Rapid Change of Mean Strain Rate and Streamline Curvature According to Wilcox (2002), the main flaw of the eddy viscosity model, which assumes
    • Reynolds Stress Turbulence Models
    • Direct Numerical Simulation and Large Eddy Simulation
    • Near Wall Treatment
    • Low Reynolds Number Model
    • DES Modeling
    • DDES Modeling
    • RANS Model
    • Three Equation Model (k-E-v2)
  • Predefined Parameters
    • CFD Grid /Mesh Generation and Discretization Methods

For this purpose, they focused on presenting the comparison of the LES and the experimental data. They investigated the influence of body position and Reynolds number on the stability properties. They have pointed out that several separations of flow appear along the body, from front to back.

The Detached Eddy Simulation (DES) approach was also unable to predict the reattachment of the flow. Closure of the system can be achieved through modeling the Reynolds stress term in the RANS equation. The accuracy of the predicted flow will depend on the empirical mixing length scale of the prescribed turbulence.

Details of the second version of the two-equation models are available from Launder and Spalding (1972) and Wilcox (2002). This led to the development of several improved versions of the k-c turbulence models designed to overcome the shortcomings of the standard k-c turbulence model. The K-c turbulence model predicts the kinematic eddy viscosity value through modeling the turbulence velocity and length scale.

For highly strained mean flow, the RNG k-c turbulence model modified the closure coefficient in the dissipation term of the dissipation transport equation. From equation (3.22) it can be seen that the transport equation of the dissipation term differs from the standard and RNG k-c turbulence model. Part of the reason is the presence of the cross-diffusion term in the k-w as a means of suppressing the increase of the turbulence dissipation length scale near the wall.

According to Wilcox (2002), such early contributors to the development of RSM include Donaldson et al. The terms to be modeled consist of the dissipation term, the turbulent diffusion term and the pressure strain redistribution term. According to Wilcox (2002), the use of the dissipation term to predict the turbulence length scale will inadvertently transfer the shortcoming of the two equation eddy viscosity model to the Reynolds stress turbulence model.

Where is the ratio of the mean flow to the friction velocity and is defined as. In the non-linear methods, the physics of the flow takes into account complex phenomena such as turbulent properties.

Table 3. 1  .  1: Versions of the two-equation models.
Table 3. 1 . 1: Versions of the two-equation models.

4.0 RESULTS AND DISCUSSIONS

  • Code Validation
    • Selection of Turbulence Models
    • Selection of Roughness Height
  • Grid Dependency Test
  • Effect of Groove at Top Surface
    • A Single Groove
    • A pair of Grooves
  • Effect of Groove at Slant Surface
    • Single Groove
    • A pair of Grooves
  • Effect of Groove at Top and Slant Surface
  • Effect of Groove at the Rear Surface

In these studies, the flow is modified by introducing a transverse groove placed at the end of the upper surface. The flow is regulated by installing transverse grooves of different radii at the end of wall-2. One study is carried out by introducing a single groove at the end of the inclined surface.

In these studies, flow is transformed by introducing a transverse groove at the end of the inclined surface (which we shall call wall 3). In these experiments, two transverse grooves are placed at the beginning and at the end of the inclined surface. The flow is controlled by placing transverse grooves of different radius at the beginning of wall-3 and at the end of wall-3.

As in our case with the insertion of the grooves, the vortex has been displaced from the inclined surface and. In these studies, two transverse grooves are placed at the beginning and at the end of the inclined surface. The flow is controlled by placing transverse grooves of different radius at the front and rear end of the wall-3.

In these studies, two transverse grooves are placed at the beginning and end of the inclined plane. The flow is controlled by placing transverse grooves of different radius at the beginning and end of the wall-3. In these studies, two transverse grooves were placed at the end of the top surface and at the end of the inclined surface.

1, two grooves with radii of 1 mm, placed transversely at the rear end of the upper surface and at the end of the inclined surface. The current is regulated by placing transverse grooves of different radii at the end of the upper surface and at the end of the inclined surface. In this case, a transverse groove with a radius of 2 mm, placed at the beginning of the back surface (Fig. 4.6. 1).

In this case, two inverted transverse grooves with equal radii (2 mm), located at the beginning and end of the rear surface. It is also observed that when any grooves are located at the end of the rear surface, the results are worse.

Figure 4.1.1(a):Velocity profiles at x= -1.062m.
Figure 4.1.1(a):Velocity profiles at x= -1.062m.

5.0 CONCLUSIONS

Based on the simulations with the various modifications by inserting grooves, i.e. grooves in different places, the following conclusions can be drawn: The total resistance increases the most when any reverse groove is placed at the end of the rear surface. Total resistance is reduced by inserting grooves of different radii at the end of the inclined surface and at the end of the top and at the end of the inclined surface although the amounts are different.

A maximum of about 4.6689% drag reduction is achieved when a groove of radius 1 mm is placed at the bottom of the upper surface and another groove of radius 2 mm is placed at the bottom of the inclined surface. So finally we can conclude that the introduction of grooves can reduce the total drag on the body of the Ahmed car.

Bradshaw, P., "The Response of a Constant-Pressure Turbulent Boundary Layer to the Sudden Application of an Adverse Pressure Gradient", R. Caltagirone, J.P., "Sur l'interaction fluid-porous medium: Application to the calculation of Efforts exerted on an obstacle by a viscous fluid", C.R.Acad. Chien, KY., "Voorspellings van Chanel- en grenslaagvloeie met 'n lae Reynolds-getal turbulensiemodel", AIAA Journal, Vol.

Dcardorff, J.W., "A numerical study of three-dimensional turbulent groove flow at large Reynolds number", Journal of Fluid Mechanics, Vol. George, A.R., (Ed), "Automotive Wind Noise and its Measurement", an information report of the SAEV Wind Noise Measurement Committee, 1997. Glushko, G., "Turbulent boundary layer on a flat plate in an incompressible fluid", Izvestia Akademiya Nauk SSSR, Mekh, no.

Mashud, M., Ban, A.A., and 1-loshen M.S., "Reduction of Fuel Consumption of a Car by Aerodynamic Drag Reduction", Jnlcrnational Conference on Mechanica, Industrial and Materials Engineering, RUET, Raj shahi, Bangladesh, 2013. Nienaltowska, 2013. E., "Separated flow in car body: Spectral and spatial characteristics analyzed from an aeroacoustic point of view", International Journal of Vehicle Dcsign, Vol. Rodi, W., "Influence of Buoyancy and Rotation on Equations for the Turbulent Length Scale", Proceedings of the 21st Symposium on Turbulent Shear Flow, London, 1979.

Sharma, B.I., "The Behavior of Swirling Turbulent Boundary Layer Near Walls", PhD-afhandling, University of London, 1975.

Gambar

Figure 1.1 (a, b): Geometric presentation of the body with 25°  slant angle
Table 3. 1  .  1: Versions of the two-equation models.
Figure  3.5.  1 (a, b,  C):  Grids in different aspect ratio.
Figure 4.1.1(a):Velocity profiles at x= -1.062m.
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