Keywords

1 Introduction

Turbocharger is a device which is the integral part of an internal combustion (IC) engine, which is widely used to enhance the engine performance. The compressor is driven by the impeller which is in turn driven by the exhaust gases. Presently, this technology is majorly utilized in automotive and aerospace industries. Factors like improved engine performance and fuel efficiency, government regulations, and engine downsizing have increased the need for turbocharging technologies. Computational fluid dynamics (CFD) may be a cost affected tool to supply detailed flow information inside the entire turbocharger. The research conducted by Chehhat et al. [1], Lintz [2] and Yang et al. [3] showed that volute significantly influences the overall performance such as the operating range, the stability, and the location of the best efficiency point of the compressor. Not just the compressor impeller but the volute also affects the overall performance. So, it was necessary to include its effect in our study. Lintz et al. [2] went further and studied the significance of volute surface roughness and found that it had a significant impact on the automotive turbocharger performance. Improving the surface quality of the volute has potential benefits in turbine efficiency. In the research performed by Rinaldi [4] experiments and simulations were carried out to understand the performance of the CO2 compressor and the CFD and experimental results were compared by addressing both the limitations of the adopted models, and those related to the experimental data. In this study [5], the researchers investigated different CFD modeling settings about interfaces and boundary conditions to successfully model compressible flow in various types of high-speed compressors. In the study carried out by Le. Sausse et al. [6], the compressor maps are obtained experimentally and then compared with CFD results. Several speed lines are calculated by varying input conditions. Galindo et al. [7, 8] carried out numerical investigations to understand the significance of geometry on the automotive turbocharger performance. Zheng et al. [9] studied and investigated the surge and stall conditions with a vaned diffuser by experiments. Jawad et al. [10] in their study proposed a preliminary design of axial turbines due to the drawbacks of conventional radial turbines used in turbochargers. A CFD analysis is carried out and is compared with the conventional radial turbine analysis results. Turbocharger’s main function is to increase the efficiency of the engine [11]. In turbocharger the more the amount of air has been hit to an impeller and even by doing modification with the intake geometry the performance is enhanced significantly [12]. In the research paper done by Nicholas Anton et al. on axial turbochargers, they found that these types of turbochargers have less moment of inertia and also the design is wider than the conventional radial turbochargers and due to their more efficiency at higher flow rates which helps to get the most optimized solution [13,14,15,16,17]. In the research conducted on axial turbocharger by Serrano et al. [14] it is found that the tip leakage loss is directly proportional with the blade loading, whereas in case of radial turbocharger it is directly proportional to the rotational speed. Due to increase in chamber roughness the efficiency of the axial turbocharger is reduced nonlinearly [15]. Even though here we have seen the reasons for the use of axial turbochargers but in the study conducted by Jawad et al. [16] it has been found that the multi-stage axial turbochargers are more efficient and they increase the performance of the engine to a whole new level. In the present work, a turbocharger compressor along with the housing used in a DI diesel engine was designed using Solidworks. We have decided to select a backward curved Blade design for our compressor impeller. Backward curved blade has the highest efficiency. The benefit of using a backward curved impeller is that it does not have a stall point on its characteristic. This means that there is no point on the fan characteristic curve that should not be operated. A CFD flow analysis was done on the compressor blades at different blade speeds (rpm) and the results were analysed in order to give out maximum boost thereby enhancing the engine performance.

2 Methodology

In this paper, the work was divided into mainly three parts, the first was the making of a model which was done in the solidworks software. The mesh was generated on volume extraction of volute and Boolean subtraction on the blades collectively on Ansys Workbench. Here, fine mesh sizing was used which generated 1,429,503 cells in total and 420,115 nodes on both volute and blades. This model was imported to Ansys fluent where the simulations were calculated for a pressure-based solver, where the blades were set to a moving wall at the speed of 20,000 rpm and 40,000 rpm respectively in order to compare both simulations simultaneously. We have considered a low rpm range after studying surge and choke limits of various automobile turbochargers. These simulations were performed at three different inlet velocities, i.e. 10 m/s, 25 m/s, and 50 m/s. Figure 1 represents the geometrical configuration of the turbocharger compressor and the generated mesh using Ansys.

Fig. 1
Two three-dimensional C F D models of a turbocharger with solid works. Part a has the cross-section of the compressor, and b has the generated mesh for the impeller.

Turbocharger compressor geometric model and generated mesh

2.1 Governing Equations

$$\frac{\partial \rho }{\partial t}+\frac{\partial (\rho u)}{\partial x}+\frac{\partial (\rho u)}{\partial y}+\frac{\partial (\rho u)}{\partial z}= 0$$
(1)
$$\begin{aligned} & \frac{\partial (\rho u)}{\partial t}+\frac{u\partial (\rho u)}{\partial x}+\frac{v\partial (\rho u)}{\partial y}+\frac{w\partial (\rho u)}{\partial z}= -\frac{\partial p}{\partial x} \hfill \\ & +\frac{\partial }{\partial x}\Bigg(\frac{\mu \partial u}{\partial x}\Bigg)+\frac{\partial }{\partial y}\Bigg(\frac{\mu \partial u}{\partial y}\Bigg)+\frac{\partial }{\partial z}\Bigg(\frac{\mu \partial u}{\partial z}\Bigg)-{S}_{x} \end{aligned}$$
(2)
$$\begin{aligned} & \frac{\partial (\rho u)}{\partial t}+\frac{u\partial (\rho u)}{\partial x}+\frac{v\partial (\rho u)}{\partial y}+\frac{w\partial (\rho u)}{\partial z}= -\frac{\partial p}{\partial y}+\frac{\partial }{\partial x}\Bigg(\frac{\mu \partial v}{\partial x}\Bigg) \hfill \\ & +\frac{\partial }{\partial y}\Bigg(\frac{\mu \partial v}{\partial y}\Bigg)+\frac{\partial }{\partial z}\Bigg(\frac{\mu \partial v}{\partial z}\Bigg)-{S}_{y}\end{aligned}$$
(3)
$$\begin{aligned} & \frac{\partial (\rho u)}{\partial t}+\frac{u\partial (\rho u)}{\partial x}+\frac{v\partial (\rho u)}{\partial y}+\frac{w\partial (\rho u)}{\partial z}= -\frac{\partial p}{\partial w}+\frac{\partial }{\partial x}\Bigg(\frac{\mu \partial w}{\partial x}\Bigg) \hfill \\ & +\frac{\partial }{\partial y}\Bigg(\frac{\mu \partial w}{\partial y}\Bigg)+\frac{\partial }{\partial z}\Bigg(\frac{\mu \partial w}{\partial z}\Bigg)-{S}_{z} \end{aligned}$$
(4)
$$\frac{\partial k}{\partial t}+{U}_{j}\frac{\partial k}{\partial t} = {P}_{k}-{\beta }^{*}k\omega +\frac{\partial k}{\partial t}\Bigg[(v+{\sigma }_{k}{v}_{T})\frac{\partial k}{\partial t}\Bigg]$$
(5)

Above mentioned are the few governing equations which are solved in each iteration to create the simulation. Equation (1) is the equation to solve continuity. Equations (2), (3) and (4) are the momentum equations on the respective axes, namely x, y and z direction. Finally, the Eq. (5) is the energy equation for the k-ω viscosity model equation.

2.2 Boundary Conditions

The pressure and temperature boundary conditions at the compressor inlet are 10 m/s specified with standard atmospheric conditions. The flow is axial to the impeller at 10 m/s, 25 m/s, and 50 m/s for different cases. At the outlet, static pressure is applied. Subsonic boundary was defined with the SST k-ω turbulence model with 5% turbulence intensity. The mesh motion method is adopted to rotate the impeller blades for a fixed impeller speed. The blades were defined as smooth surfaces moving at a specific speed and the compressor speed was set according to the load on the engine.

3 Results and Discussions

Simulation of the turbocharger was considered for two different impeller speeds (rpm): 20,000 and 40,000 and three different velocities: 10 m/s, 25 m/s, and 50 m/s. Velocity and pressure simulation results were obtained using CFD and the contours and graphs were analysed for both impeller speed and shown in Figs. 2 and 3.

Fig. 2
A line graph plots the residuals versus iterations. The values are plotted for continuity, x, y, and z velocities, k, and omega. 6 lines begin along the vertical axis, then follow the decreasing trend and remain constant with some variations. The lines are plotted one by one. Continuity has the highest value, and z-velocity has the lowest value.

Variation of residuals for an impeller speed of 20,000 rpm

Fig. 3
A line graph plots the residuals versus iterations. The values are plotted for continuity, x, y, and z velocities, k, and omega. 6 lines begin along the y-axis, then follow the decreasing trend and remain constant with some variations. The lines are plotted one by one. Continuity has the highest value, and z-velocity has the lowest value.

Variation of residuals for an impeller speed of 40,000 rpm

3.1 Velocity Simulation

Following figure shows the velocity vector contour. The velocity is maximum at the compressor wheel blade endings in all the cases. The increased velocity is slowed down in the volute and due to the volute a swirl motion is generated. Figures 4 and 5 shows the air velocity contours at lower inlet speed of 10 m/s. Figures 6 and 7 indicates the air velocity distribution at transitional speeds of 25 m/s and 50 m/s. Figures 8 and 9 shows the velocity contours at a higher rotational speed of 40,000 rpm.

Fig. 4
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 20000 rotations per minute, with the inlet speed at 10 meters per second. Each part has different velocities that are highlighted with different gradients. The gradient scale ranges from 0.000 e + 00 to 5.933 e + 02.

Air velocity contours at 20,000 rpm, inlet speed 10 m/s

Fig. 5
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 40000 rotations per minute, with the inlet speed at 10 meters per second. Each part has different velocities that are highlighted with different gradients. The gradient scale ranges from 0.000 e + 00 to 1.187 e + 03.

Air velocity contours at 40,000 rpm, inlet speed 10 m/s

Fig. 6
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 20000 rotations per minute, with the inlet speed at 25 meters per second. Each part has different velocities that are highlighted with different gradients. The gradient scale ranges from 0.000 e + 00 to 5.933 e + 02.

Air velocity contours at 20,000 rpm, inlet speed 25 m/s

Fig. 7
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 20000 rotations per minute, with the inlet at 50 meters per second. Each part has different velocities that are highlighted with different gradients. The gradient scale ranges from 0.000 e + 00 to 5.933 e + 02.

Air velocity contours at 20,000 rpm, inlet 50 m/s

Fig. 8
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 40000 rotations per minute, with the inlet speed at 25 meters per second. Each part has different velocities that are highlighted with different gradients. The gradient scale runs from 0.000 e + 00 to 1.187 e + 03.

Air velocity contours at 40,000 rpm, inlet speed 25 m/s

Fig. 9
A 3 D contour model of the turbocharger compressor with SolidWorks. The wheel blades are in swirl motion at 40000 rotations per minute, with the inlet at 50 meters per second. Each part has different velocities that are highlighted with different gradients. The gradient scale runs from 0.000 e + 00 to 1.187 e + 03.

Air velocity contours at 40,000 rpm, inlet 50 m/s

3.2 Pressure Simulation

The contours of the pressure distribution at the assembly of the compressor wheel and housing are investigated for different inlet speeds. The highest pressure is found in the downstream of the compressor wheel and the lowest upstream—suction opening of the compressor wheel. The pressure distribution looks symmetric and is similar for all the cases. Figures 10 and 11 shows the pressure distribution at a lower inlet speed of 10 m/s. Figures 12 and 13 indicates the pressure variations at transitional inlet speed of 25 m/s and 50 m/s respectively. Figures 14 and 15 shows the pressure contours at a higher rotational speed of 40,000 rpm. Figure 16 indicates the particle streamlines representing the development of swirl motion inside the turbocharger.

Fig. 10
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 20000 rotations per minute, with the inlet speed at 10 meters per second. Each part has different pressures that are highlighted with different gradients. The gradient scale ranges from negative 7.455 e + 04 to 2.100 e + 04.

Pressure contours at 20,000 rpm, inlet speed 10 m/s

Fig. 11
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 40000 rotations per minute, with the inlet speed at 10 meters per second. Each part has the different pressures that are highlighted with different gradients. The gradient scale ranges from negative 2.884 e + 05 to 6.100 e + 04.

Pressure contours at 40,000 rpm, inlet speed 10 m/s

Fig. 12
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 20000 rotations per minute, with the inlet speed at 25 meters per second. Each part has the different pressures that are highlighted with different gradients. The gradient scale ranges from negative 7.322 e + 04 to 2.082 e + 04.

Pressure contours at 20,000 rpm, inlet speed 25 m/s

Fig. 13
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 20000 rotations per minute, with the inlet speed at 50 meters per second. Each part has the different pressures that are highlighted with different gradients. The gradient scale ranges from negative 7.414 e + 04 to 2.605 e + 04.

Pressure contours at 20,000 rpm, inlet speed 50 m/s

Fig. 14
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 40000 rotations per minute, with the inlet speed at 25 meters per second. Each part has the different pressures that are highlighted with different gradients. The gradient scale ranges from negative 3.012 e + 05 to 7.905 e + 04.

Pressure contours at 40,000 rpm, inlet speed 25 m/s

Fig. 15
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion at 40000 rotations per minute, with the inlet speed at 50 meters per second. Each part has the different pressures that are highlighted with different gradients. The gradient scale ranges from negative 3.194 e + 05 to 6.205 e + 04.

Pressure contours at 40,000 rpm, inlet speed 50 m/s

Fig. 16
A 3 D contour model of the turbocharger compressor with Ansys. The wheel blades are in swirl motion. Each part has the different path lines that are highlighted with different gradients. The gradient scale ranges from 0.00 e + 00 to 8.02 e + 04.

Particle streamline showing swirl motion at volute exit

4 Conclusions

This paper presents an effort to model and analyse the flow from inlet to the exit of an automobile turbocharger compressor with all the components in place. The flow was analysed at two different compressor blade speeds, i.e. 20,000 and 40,000 and three different inlet velocities, i.e. 10 m/s, 25 m/s, and 50 m/s. Using the computational fluid dynamics (CFD) gave a better understanding of the behaviour of flow through a turbocharger compressor and how it impacts the turbocharger efficiency and how the turbocharger compressor performs in an automobile engine for enhancing its performance. The velocity simulation revealed that the velocity is maximum at the compressor blade endings and it is slowed down in the compressor volute and swirl motion is generated due to the volute. A pressure increase is seen at the compressor exit compared to the inlet. The highest pressure is found downstream the compressor wheel volute discharge. High pressure at the exit results in extra compressed air for the IC engine thereby increasing its power output.