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Peng Ye. Space Distribution of Spray Injected Fluid. 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. Governing Equation. Navier-Stokes. Convection and diffusion.
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Peng Ye Space Distribution of Spray Injected Fluid
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
Governing Equation Navier-Stokes Convection and diffusion
Level Set Method Fuel: c=1; Air c=0
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.
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.
Reynolds number Reynolds number could be used to indicate the applicability of this model. This case: Re=1.414
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
Conclusion The coupling of Navier-Stokes and convection and diffusion could solve injected fluid problem, but it requires low Peclet and Reynolds number.