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Space Distribution of Spray Injected Fluid

In a DI diesel engine, fluid spray distribution is analyzed with fuel directly injected into the chamber as two phases - fuel and air. The model assesses physical properties and applicability, governed by Navier-Stokes equations, convection, diffusion, and the Level Set Method. Isotropic diffusion is modified by an artificial coefficient, introducing the new Peclet number for stabilization. Modeling results indicate the model's applicability through assumptions, such as conservation laws and fluid properties. Reynolds number is used to gauge model applicability, showing sensitivity to density, pressure, and viscosity. The coupling of equations effectively addresses fluid injection issues but with constraints on Peclet and Reynolds numbers.

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Space Distribution of Spray Injected Fluid

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  1. Peng Ye Space Distribution of Spray Injected Fluid

  2. In a DI diesel engine, fuel is directly injected into the chamber. Two phases: fuel and air Assumed physical properties Assess model's applicability Introduction

  3. Governing Equation Navier-Stokes Convection and diffusion

  4. Level Set Method Fuel: c=1; Air c=0

  5. Isotropic diffusion: to add an artificial coefficient. The new Peclet number: Stabilization Approach Usually when Peclet number or Reynolds number is larger than 2, oscillation would occur.

  6. Modeling

  7. Result

  8. Applicability The assumptions for Navier-Stokes equation are: Conservation of mass, momentum and energy. Newton's second law holds. The fluid is a newtonian fluid. The viscosity can be considered as constant and the fluid is isotropic and incompressible. The supplementary equation describes a continuous fluid. The 3rd assumption does not hold for complex Reynolds properties.

  9. Reynolds number Reynolds number could be used to indicate the applicability of this model. This case: Re=1.414

  10. Density: Re=2.1 Pressure: Re=3.38 Viscosity: Re=16.6 Reynolds number up limit Not exactly the same, but not vary much. Density has the highest sensibility. Pressure Viscosity

  11. Conclusion The coupling of Navier-Stokes and convection and diffusion could solve injected fluid problem, but it requires low Peclet and Reynolds number.

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