"Numerical Simulation of Combustion Processes in rotory engines"

 
   
      Dipl. Math. Dorothea Eggers  
         
In cooperation with the german industry partner Wankel Rotary and the working group of Prof. Rannacher at the University of Heidelberg we object the modelling and numerical simulation of the flow and combustion processes in a rotory engine. Lower weight, less requirement of space or large variablility in used fuel types are some of the positive characteristics of this engine, interesting for future aspects with respect to essential industrial developments. Here, questions about possible reduction of the fuel consumption and emission, especially of carbon monoxyde, are of primary interest for the industry partner. Implications of geometric variation of the combustion chamber in the piston or the placement of the spark plug present dominant questions in this context. Furthermore, variable fuel supply, such as drawing in the premixed fuel or injection, are of interest.
   
     
 
Investigations about ignition of the premixed fuel, propagation of the combustion zone and extinction in the quenching zones require detailed informations about the flowpattern, pressure and temperature distribution. Moreover, the turbulent structure of the flow necessitates the analysis of turbulence models with respect to their prediction capabilities. The answers greatly rely on the particular geometry and operation mode of the rotory engine.
In contrast to a stroke piston engine, four-stroke of the rotory engine results from the special geometry of the piston, the trochoid, and the rotor housing, the epitrochoid. Moreover, the basic dimensions of the trochoid greatly affect all the engines characteristics, including displacement, performance, durability and productivity. Schematically, the operational sequences can be presented as follows:

Corresponding to the symmetry of the piston, the different phases of drawing in the premixed fuel (1-4), compression (5-7), combustion (8-10) and expelling of the burnt gas (11-1), occur displaced in time. This project, supported by the BMBF, objects the modelling and simulation of the compression and combustion phases.

Experimental studies, numerical simulations and investigations of stroke piston engines, predominantly calculated without friction, have been carried out in the preceeding years. Experimental results indicate, that higher engine speeds enhance the turbulence. This improves air and fuel mixing. Numerical investigations on the effect of various engine speeds show, that at higher engine speeds fuel is consumed in a much shorter time period by the enhanced air and fuel mixing. This shorter combustion duration provides much less available time for soot and NOx formations. In addition, the enhanced air/fuel mixing decreases soot and NOx by reducing the extent of the fuel rich regions. Moreover, numerical results show, that engine speed and fuel injection timing can be used to determine the optimum conditions for increased engine power density with lower emissions and acceptable engine and exhaust temperatures.
Comparable detailed investigations of a rotory piston engine, especially concerning the combustion processes, haven't been carried out yet. Experimental studies show, that emissions of CO or CO2 are the same for both engines. Distinctions are known in NOx and CH emissions. While the rotory engines produce 2/3 less NOx than piston stroke engines, they comparatively produce more carbon monoxydes. This behaviour results from the streched and rotating combustion chamber. Another relying aspect presents the different temperature ranges of both engines compared by measurements of emissions. Those temperature distinctions are implied by the different dimensions and operation modes of the engines as well as the propagation of combustion zones.
On account of the mentioned aspects it would appear, that experiences and studies of piston stroke engines cannot be used, to understand and describe a rotory piston engine in detail.

Objective:

  • Investigation of following aspects:
    • compressible and turbulent flow
    • mixture composition of the fuel
    • ignition and propagation of the combustion zone
    • temperature distribution
    • emission, especially concerning emission of carbon monoxydes
  • Investigation of above mentioned aspects with respect to geometric variation of the combustion chamber and fuel supply.
  • Performance analysis under large variations of the rotational speed of the engine.
  • Analysis of different fuels such as diesel, cerosine or natural gas.

Numerical Solution:
In the course of the preceeding project for simulation a laminar premixed flame in a town gas burner, a program package for solving the compressible Navier-Stokes equations with a detailed reaction mechanism was developed in the object orientated programmers language C++. This package is based on rectangular geometries and cartesian grids. For discretization, a finite volume, collocated grid method is applied.
In the meantime, this package has been extended for simulation the compressible Navier-Stokes equations on non-rectangular geometries and non-cartesian grids. Here, a special adapted structure describes the complex geometry of the rotory engine for all phases of rotation. Furthermore, instationary solution methods have been integrated, which results, through the pressure correction equation, in a SIMPLE and a SIMPLEC method for solution of the stationary and instationary compressible Navier-Stokes equations respectively. An FAS multigrid method is used to accelerate convergence. First results for two positions of the piston for

present an isothermal flow simulation. First experiences with flow simulations for different piston displacements show, that the strong variation of the computational domain in time make high demands on the underlying grid and solution methods. Block structured methods have to be integrated to improve resolution.

Prospects:
  • Solution methods for:
    • block structured grids
    • solving the compressible Navier Stokes equations on moving grids
  • Investigation of Favre averaged Navier-Stokes equations.
  • k-eps model for simulation of turbulent flows.
  • Investigation of different modifications of the k-eps model as:
    • Multiple Scale models (Hanjalic,Launder & Schistel)
    • Modifications on the k-eps model for curvilinear domains proposed by Gibson.
    • k-eps model and Reynolds Stress Model proposed by Ha Minh & Chassaing.
  • Investigation of reduced reaction mechanisms for higher order hydrocarbons, C12 H26.
  • Simulation of the combustion process in the rotory engine.
  • Turbulent combustion.
Some interesitng aspects of: Felix Wankel — His invention & Live (historical background)
 
 
       
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