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27
2018
אירועים בתאריך 27 במרץ 2018

סמינר המחלקה למתמטיקה

תאריך:27.3.2018
שעה:00:00
מיקום: EM303
זמן תחילת האירוע: 13:00
זמן סיום האירוע: 14:00
הגוף המארגן: המחלקה למתמטיקה
קהל יעד: פתוח לכולם
תיאור האירוע: Speaker: Dr. Ophir Nave and Dr. Vladimir Gol’dshtein, Ben-Gurion University Title: A probabilistic model of thermal explosion in polydisperese fuel spray Abstract Our research concerned with an analysis of polydisperse spray droplets distribution on the thermal explosion processes. In many engineering applications it is usual to relate to the practical polydisperse spray as a monodisperse spray. The Sauter Mean Diameter (SMD) and its variations are frequently used for this purpose Lefebvere (1989). The SMD and its modifications depend only on``integral'' characterization of polydisperse sprays and can be the same for very different types of polydisperse spray distributions. We presents a new, simplified model of the thermal explosion in a combustible gaseous mixture containing vaporizing fuel droplets of different radii (polydisperse). The polydispersity is modeled using a Probability Density Function (PDF) that corresponds to the initial distribution of fuel droplets size. This approximation of polydisperse spray is more accurate than the traditional 'parcel' approximation and permits an analytical treatment of the simplified model. Since the system of the governing equations represents a multi-scale problem, the method of invariant (integral) manifolds is applied. An explicit expression of the critical condition for thermal explosion limit is derived analytically. Numerical simulations demonstrate an essential dependence of these thermal explosion conditions on the PDF type and represent a natural generalization of the thermal explosion conditions of the classical Semenov theory.
שם איש קשר: פרופ' חגי כתריאל
דוא"ל: katriel@braude.ac.il