A simple model for the pressure field from a distribution of hotspots

18th APS-SCCM; 24th AIRAPT

Lambourn, B.D.^1 ; Lacy, H.J.^1 ; Handley, C.A.^1 ; James, H.R.^1

AWE Aldermaston, Reading, Berkshire

RG7 4PR, United Kingdom^1

关键词: Acoustic theory;    Analytic approximation;    Constant speed;    Finite size;    Hydro codes;    Pressure field;    Pressure history;    Simple modeling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/500/5/052023/pdf
DOI  :  10.1088/1742-6596/500/5/052023

来源: IOP

【 摘 要 】

At the APS SCCM in 2009, Hill, Zimmermann and Nichols showed that assuming burn fronts propagate at constant speed from individual point hotspots distributed randomly in a volume, the reaction rate history could be determined. In this paper a simple analytic approximation is found for the time history of the pressure in the volume. Using acoustic theory, the time history of the pressure field for burning from a single spherical, isolated hotspot of finite radius is developed. Then at any point in the volume, the overall pressure history is determined from the sum of the pressure fields from all the individual hotspots. The results are shown to be in qualitative agreement with 1D mesoscale hydrocode calculations of the reaction and burning from a finite size spherical hotspot.