Sienas efekta modelēšana šķiedrai suspensiju plūsmā ar modificēto stohastisko Džefrija vienādojumu
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Latvijas Universitāte
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Abstract
Darbā tiek detalizētēk izanalizēts Džefrija vienādojums. Tiek veikta Džefrija
vienādojuma iespējamo atrisinējumu klasifikācija, izmantojot 3x3 matricas kanoniskās Žordāna normālformas, un visas trajektorijas tiek arī grafiski
ilustrētas. Tiek modelēts sienas efekts. Ir izveidoti 3 modeļi tam, kas varētu
notikt ar šķiedru kontakta brîdî ar sienu. Apskatīti arī 2 reāli piemēri šķiedru orientācijas vektora trajektorijām suspensiju plūsmā. Darbā apskatītie
modeļi tika implementēti datorprogrammu paketē MATLAB.
We analyze a Jeffrey equation in detail. We classify solutions of the Jeffery equation using 3x3 matrix Jordan normalforms, and solutions is illustrated graphically. A wall effect is modelled. 3 models assumptions is created about what could happen with fiber in a contact with the wall. 2 real examples with fiber trajectories in the suspension flow is researched. Mathematical models, which I have used in this work, is implemented in a programming environment MATLAB.
We analyze a Jeffrey equation in detail. We classify solutions of the Jeffery equation using 3x3 matrix Jordan normalforms, and solutions is illustrated graphically. A wall effect is modelled. 3 models assumptions is created about what could happen with fiber in a contact with the wall. 2 real examples with fiber trajectories in the suspension flow is researched. Mathematical models, which I have used in this work, is implemented in a programming environment MATLAB.