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This paper presents an analysis using a model of the dispersion process of a Diesel spray impinging on a flat wall. The objective is to simulate the spray / wall interaction process inside Diesel engines. This analysis has two parts: one for non - evaporative spray and the other for evaporative spray. For the non - evaporative spray analysis, a single spray of n - tridecane was injected at high - pressure from a single hole nozzle into a quiescent atmosphere at room - temperature. The spray impinged vertically on the wall at room temperature. Thus, the wall temperature Tw was less than the saturation temperature Tsat of the fuel, that is the boiling temperature. A new submodel including fuel film formation on the wall, its breakup process due to droplet impingement and the dispersion process of breakup - droplets was developed. Also, the droplet density distribution was measured experimentally by the laser light extinction method.