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Salah's Model for Diesel Engine Intake Airflow

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Salah's model[1] is an analytical framework developed by Salah Elmoselhy[2] that provides a physically motivated, closed-form solution for estimating the intake air mass flow into diesel engine cylinders, accounting explicitly for the effects of a flexible crankshaft. The model addresses a key shortcoming in existing simulation frameworks like GT-Power and CMEM, which generally assume rigid crankshafts.[3]

Background

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Crankshaft flexibility, although often ignored in traditional engine models, introduces notable inertial and pressure variations that can affect intake dynamics, especially at high rotational speeds. Salah Elmoselhy proposed a refined intake airflow model that integrates these dynamic effects through first-principle derivations.

Salah’s Analytical Model

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The model, also referred to as Salah’s model, is derived from Newtonian mechanics and thermodynamic considerations of the intake process. The in-cylinder pressure during the intake phase is computed as a sum of:

  • Manifold pressure,
  • Vacuum effect due to piston acceleration,
  • Flow-induced losses,
  • Inertial effects from crankshaft rotation.

This results in a compact expression for the overall cylinder pressure, and subsequently for the total intake air mass flow.

Validation

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Salah’s model has been validated using real-world drive cycles and has demonstrated improved accuracy over GT-Power and CMEM. It achieved mean prediction errors of:

  • ~7.5% for the ORNL standard freeway cycle,
  • ~11% for the EPA freeway cycle.

Impact

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Salah’s model enables accurate, fast, and transparent airflow predictions for diesel engines operating under flexible mechanical conditions. It opens up new avenues for emission reduction strategies and control-oriented modeling.

See also

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Bibliography

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  1. ^ Elmoselhy, Salah A. M.; Faris, Waleed F.; Rakha, Hesham A. (2022-08-22). "Validated Analytical Modeling of Eccentricity and Dynamic Displacement in Diesel Engines with Flexible Crankshaft". Energies. 15 (16): 6083. doi:10.3390/en15166083. ISSN 1996-1073.
  2. ^ "Center for Physics of the University of Coimbra". cfisuc.fis.uc.pt. Retrieved 2025-07-12.
  3. ^ "How the crankshaft works - All the details". How a Car Works. Retrieved 2025-07-12.