In the design and manufacturing of internal combustion engines, the performance of the intake port is critical for determining the engine’s economic efficiency, power output, and emission levels. The swirl intake port, in particular, is designed to generate a controlled rotational flow (swirl) within the cylinder, which enhances air-fuel mixing and combustion efficiency. However, during the production of cylinder heads, metal casting defects inevitably arise due to process limitations. These metal casting defects, such as port inclination caused by core shift or port enlargement due to sand inclusion at the core box parting surface, can alter the intended geometry of the intake port. Consequently, these deviations may significantly degrade the port’s flow capacity and swirl generation capability. This study aims to systematically investigate how such metal casting defects impact the performance metrics of a swirl intake port for a diesel engine. Using a steady-flow test bench, we simulate common defects—namely, port inclination and longitudinal enlargement—and evaluate their effects using standardized performance indicators. The findings provide quantitative insights into the tolerance limits for these metal casting defects in high-volume production, guiding quality control measures to minimize performance losses.
The experimental setup centers on a steady-flow intake port test bench, which simulates the airflow conditions during the engine’s intake stroke under a constant pressure differential.

The bench consists of a test table, a settling chamber, piping with control valves, a centrifugal fan, data acquisition instruments, and a computer for processing. The intake port core box is mounted on the test table, and a pressure difference of approximately 1 kPa is maintained across the port during measurements. Key parameters recorded include valve lift, vane anemometer speed (for swirl measurement), pressure differential across the port and orifice, volumetric flow rate, and air temperature. The measurement uncertainties are less than 1.5% for the flow coefficient and 2% for swirl intensity, ensuring reliable data. To evaluate port performance, we employ two established methodologies: the AVL method and the Ricardo method. Both provide dimensionless coefficients that characterize the port’s flow capacity and swirl generation under steady-state conditions. For consistency and clarity, this article primarily presents results using the AVL evaluation metrics, as both methods show similar trends despite numerical differences.
The AVL method models the intake process as an incompressible and adiabatic flow with a constant pressure drop. It defines the flow coefficient ($C_d$) and the swirl ratio ($R_s$) to assess the port’s flow efficiency and swirl strength, respectively. The flow coefficient is the ratio of the actual mass flow rate through the valve seat to the theoretical mass flow rate, expressed as:
$$C_d = \frac{\dot{m}_{\text{actual}}}{\dot{m}_{\text{theoretical}}} = \frac{\dot{m}}{A_v \cdot \sqrt{2 \rho \Delta p}}$$
where $\dot{m}$ is the measured mass flow rate (kg/s), $A_v$ is the inner cross-sectional area of the valve seat (m²), $\rho$ is the air density (kg/m³), and $\Delta p$ is the pressure drop across the port (Pa). The theoretical flow rate assumes ideal, lossless flow. The swirl ratio represents the ratio of the simulated swirl rotational speed in the cylinder to the engine crankshaft speed, given by:
$$R_s = \frac{\omega_s}{\omega_c} = \frac{2 \pi n_s}{2 \pi n_c} = \frac{n_s}{n_c}$$
where $\omega_s$ is the angular velocity of the swirl (rad/s), $\omega_c$ is the angular velocity of the crankshaft (rad/s), $n_s$ is the swirl vane rotational speed (rps), and $n_c$ is the equivalent engine speed (rps). For performance comparison, we use the average flow coefficient ($\bar{C_d}$) and average swirl ratio ($\bar{R_s}$) at a valve lift of 10 mm, which corresponds to a typical maximum lift condition, to represent the overall port performance.
The test port is a helical swirl intake port from a production diesel engine. To simulate metal casting defects, we modified the port core box systematically. For the standard (baseline) port, a precision-machined insert plate is used to ensure nominal geometry. Two valve seat sizes are tested: a larger valve (inner diameter 40 mm) and a smaller valve (inner diameter 38 mm), to assess the influence of valve size on performance. Subsequent defect simulations focus on the larger valve due to its higher flow capacity. The simulation of metal casting defects involves two primary types: inclination and longitudinal enlargement.
Port inclination simulates the core shift defect, where the entire port axis is tilted relative to the valve seat axis. This is achieved by installing an inclined insert plate (with a tilt angle of 1.5°) at the bottom of the core box, along with matching inclined valve seats and guides. To study the effect of inclination direction, the inclined components are rotated clockwise in eight positions (0° to 315° in 45° increments) around the port axis, as illustrated conceptually. At each position, the valve is carefully seated to ensure no leakage at zero lift.
Longitudinal port enlargement mimics the defect caused by sand intrusion at the core box parting surface, which effectively increases the port cross-section along its length. This is simulated by inserting shims of specific thicknesses (0.2 mm, 0.5 mm, 0.8 mm, and 1.0 mm) at the parting surface of the core box, thereby uniformly expanding the port geometry. The impact of this metal casting defect is evaluated by comparing performance across different enlargement magnitudes.
Combined defects, where both inclination and enlargement occur simultaneously—a common scenario in actual metal casting processes—are also investigated. Here, the inclined setup (at various rotational positions) is combined with shims of different thicknesses to simulate concurrent defects. This allows us to assess the synergistic effects of these metal casting defects on port performance.
The performance of the standard port establishes the baseline for comparison. Table 1 summarizes the average flow coefficient and swirl ratio for both valve sizes at 10 mm valve lift, using the AVL method.
| Valve Size | Inner Diameter (mm) | Average Flow Coefficient, $\bar{C_d}$ | Average Swirl Ratio, $\bar{R_s}$ |
|---|---|---|---|
| Large Valve | 40 | 0.745 | 2.15 |
| Small Valve | 38 | 0.698 | 2.34 |
The larger valve improves the flow coefficient by approximately 6.7% but reduces the swirl ratio by about 8.1%, indicating a trade-off between flow capacity and swirl generation. This baseline underscores the sensitivity of performance to geometric details, which is exacerbated by metal casting defects. All subsequent defect analyses use the large valve configuration.
Port inclination, a prevalent metal casting defect, shows a distinct directional effect on performance. Figure 1 (conceptual) plots the flow coefficient and swirl ratio against the rotational position of the inclined port. The flow coefficient remains relatively stable across all positions, with deviations within ±1.5% of the standard port value. This suggests that the overall flow resistance is not drastically altered by the tilt alone. However, the swirl ratio exhibits significant variation, with changes up to ±12% depending on the inclination direction. Specifically, when the port inlet is raised (positions 0°, 45°, 315°), the swirl ratio decreases; when the inlet is lowered (positions 135°, 180°, 225°), the swirl ratio increases. The minimum swirl ratio occurs at position 0° (inlet fully raised), and the maximum at position 180° (inlet fully lowered). This phenomenon can be explained by decomposing the airflow into axial and tangential components. In a helical port, the swirl is generated by the tangential momentum imparted to the air. When the inlet is raised, the axial flow component along the cylinder axis is enhanced at the expense of the tangential component, reducing swirl. Conversely, lowering the inlet augments the tangential component, increasing swirl. This directional sensitivity highlights how a metal casting defect like core shift can unpredictably alter the in-cylinder flow field, potentially leading to combustion variability between cylinders.
Longitudinal port enlargement, another critical metal casting defect, demonstrates a more uniformly detrimental effect. As the enlargement magnitude increases, both the flow coefficient and swirl ratio decline. Table 2 quantifies this degradation for different shim thicknesses.
| Enlargement (Shim Thickness, mm) | Average Flow Coefficient, $\bar{C_d}$ | Percentage Change vs. Standard | Average Swirl Ratio, $\bar{R_s}$ | Percentage Change vs. Standard |
|---|---|---|---|---|
| 0.0 (Standard) | 0.745 | 0% | 2.15 | 0% |
| 0.2 | 0.738 | -0.9% | 2.12 | -1.4% |
| 0.5 | 0.725 | -2.7% | 2.05 | -4.7% |
| 0.8 | 0.706 | -5.2% | 1.94 | -9.8% |
| 1.0 | 0.692 | -7.1% | 1.85 | -14.0% |
The data reveals that even a minor enlargement of 0.2 mm causes measurable performance loss. Beyond 0.5 mm, the degradation becomes pronounced, with the swirl ratio dropping nearly 5% and the flow coefficient falling over 2.5%. At 1.0 mm enlargement, the swirl ratio diminishes by 14%, severely compromising the port’s ability to generate adequate in-cylinder turbulence. This degradation occurs because the enlarged cross-sectional area disrupts the optimized velocity profiles and pressure gradients within the helical passage. The port’s geometry is carefully designed to accelerate flow and convert static pressure into tangential momentum; enlargement reduces flow velocities, weakening both the discharge coefficient and the swirl-generating mechanisms. This underscores the necessity of tight control over core box parting surfaces to prevent this type of metal casting defect.
When both inclination and enlargement defects coexist—a realistic scenario in metal casting—the performance impacts are compounded. For combined defects, the performance trends follow the directional pattern of inclination, but the entire performance curve is shifted downward due to the enlargement. Figure 2 (conceptual) illustrates this for two enlargement levels (0.5 mm and 1.0 mm) across the inclination positions. For instance, at an inclination position of 0° (inlet raised) with 1.0 mm enlargement, the flow coefficient might drop to 0.680 and the swirl ratio to 1.70, representing a synergistic decline. The mathematical interplay can be approximated by considering the defects as independent perturbations. If we denote the performance metric (e.g., swirl ratio) as $P$, the standard value as $P_0$, the change due to inclination as $\Delta P_i(\theta)$ (function of angle $\theta$), and the change due to enlargement as $\Delta P_e(d)$ (function of enlargement magnitude $d$), then for combined defects:
$$P_{\text{combined}}(\theta, d) \approx P_0 + \Delta P_i(\theta) + \Delta P_e(d) + \epsilon(\theta, d)$$
where $\epsilon(\theta, d)$ is a small interaction term. Our data suggests that $\epsilon$ is negative for most cases, indicating that the combined metal casting defects cause slightly more degradation than the sum of individual effects, particularly at larger enlargement magnitudes. This nonlinearity emphasizes the importance of controlling both defect types simultaneously in production.
The underlying fluid dynamics explain these trends. The swirl intake port operates on the principle of converting axial flow into helical motion. The flow coefficient $C_d$ is primarily influenced by the minimum effective flow area and the flow separation characteristics. Metal casting defects that alter the port contour, such as enlargement, increase flow separation and reduce the effective area, lowering $C_d$. The swirl ratio $R_s$ depends on the conservation of angular momentum. The swirl number $S$, a related dimensionless parameter, can be expressed as:
$$S = \frac{G_\theta}{G_x \cdot R}$$
where $G_\theta$ is the axial flux of angular momentum, $G_x$ is the axial flux of linear momentum, and $R$ is a characteristic radius. For a given mass flow rate, metal casting defects that misalign the port (inclination) redistribute the momentum components, affecting $G_\theta$. Enlargement reduces flow velocities, decreasing both $G_\theta$ and $G_x$, but typically $G_\theta$ is more sensitive due to its dependence on the tangential velocity profile. The experimental data aligns with this theoretical framework, confirming that even subtle metal casting defects can disrupt these delicate balances.
From a manufacturing perspective, these findings have direct implications for quality control. The metal casting defect of port inclination, while less harmful to flow capacity, can cause significant swirl variation. Since swirl consistency across cylinders is crucial for uniform combustion, tolerances for core shift should be tight, especially in directions that raise the port inlet. The metal casting defect of longitudinal enlargement is more critical, as it uniformly degrades both key performance metrics. A tolerance limit of 0.5 mm enlargement appears to be a threshold, beyond which performance drops markedly. Implementing in-line inspection using steady-flow test benches can detect such metal casting defects, but preventive measures in the foundry—such as improved core box sealing and robust core positioning—are more cost-effective than scrapping finished cylinder heads.
In conclusion, this experimental investigation quantifies the detrimental effects of common metal casting defects on the performance of a swirl intake port. The metal casting defect of port inclination directionally influences swirl intensity, with inlet elevation reducing swirl and inlet lowering enhancing it. The metal casting defect of longitudinal enlargement consistently reduces both flow coefficient and swirl ratio, with degradation becoming severe beyond 0.5 mm. Combined metal casting defects exacerbate performance losses, often in a synergistic manner. These results underscore the need for precise control in the casting process to minimize such geometric deviations. Future work could involve computational fluid dynamics (CFD) simulations to further elucidate the flow mechanisms altered by these metal casting defects and to explore corrective design modifications that are robust to typical metal casting defect variations. Ultimately, understanding and mitigating these metal casting defects is essential for producing high-performance, efficient, and low-emission diesel engines.
