Related Experiment Video
Updated: Jul 17, 2025

The Quantification of Injectability by Mechanical Testing
Published on: May 13, 2020
A rate-of-injection model for predicting single and double injection with or without fusion.
Pascal Tetrault1, Patrice Seers1
1Mechanical Engineering Department, École de technologie supérieure, Montreal, QC, Canada.
A new model accurately predicts diesel fuel injection mass flow rates, accounting for injection fusion in split injection strategies. This advancement aids automotive applications like CFD calculations and engine control.
Area of Science:
- Automotive Engineering
- Combustion Science
- Fluid Dynamics
Background:
- Accurate prediction of instantaneous injected fuel mass is crucial for automotive applications, including Computational Fluid Dynamics (CFD) and engine control.
- Diesel engines commonly employ multiple injection strategies, but these can be affected by injection fusion, where successive injections merge due to short intervals.
Purpose of the Study:
- To develop a novel model for predicting the instantaneous mass flow rate of diesel injectors.
- To enhance the model for predicting split injection scenarios, specifically addressing injection fusion.
- To validate the model's universality across different injector types and operating conditions.
Main Methods:
- Developed an analytical model based on the solution of a first-order linear dynamic system subjected to an impulse.
- Conducted experimental investigations on a solenoid indirect-action injector under 33 varied conditions (injection pressure, backpressure, duration).
- Validated the model against experimental data for single and split injection strategies, including cases with injection fusion.
Main Results:
- The proposed model accurately predicts instantaneous fuel mass flow rate for single injection strategies.
- The enhanced model successfully predicts split injections, both with and without injection fusion.
- The model demonstrated universality by accurately simulating a piezoelectric injector with varying fusion levels from literature.
Conclusions:
- The developed model provides a reliable method for predicting instantaneous fuel mass flow rate in diesel engines.
- The model effectively accounts for injection fusion, a critical phenomenon in modern diesel injection strategies.
- The validated approach offers a versatile tool for automotive applications requiring precise fuel injection modeling.
Related Concept Videos
Compartment Models: Single-Compartment Model
Two-Compartment Open Model: IV Infusion
The model illustrates the decrease in plasma drug concentration from the central compartment with a specific equation. It shows that under steady-state conditions, the drug's input rate...
One-Compartment Open Model for IV Bolus Administration: General Considerations
The drug's presence in the body is defined by an equation representing the difference between the rates of drug entry and exit. Key parameters—elimination rate constant,...
One-Compartment Model: IV Infusion
The one-compartment model for IV infusion uses mathematical equations to describe the rate of change in drug quantity in the body. At steady-state or infusion equilibrium, the drug input...
Two-Compartment Open Model: IV Bolus Administration
The disparity between drug input and the sum of drug transfer rates between...
Nonlinear Pharmacokinetics: Drug Elimination for IV Bolus Injection
Following the administration of a single intravenous (IV) bolus injection, we can determine the concentration of the drug in the plasma at any given time. This calculation is achieved using a specific equation that integrates the values of Vmax and KM.
We can also...

