Nanomatemàtiques: modelització matemàtica a la nanoescala

作者: Vincent Cregan , Michelle M. Macdevette , Francesc Font Martínez , Tim G. Myers

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摘要: En aquest article exposem tres problemes estudiats recentment al grup de Matematica Industrial del Centre Recerca Matematica, en els quals l'aproximacio continu resulta valida per a descriure fenomens la nanoescala: 1. Transferencia calor nanofluids: resultats experimentals que confirmen l'increment capacitat transferir dels nanofluids respecte fluids estandard son sovint contradictoris. Mitjancant una analisi capa limit mostrarem com el model matematic utilitzat nombroses ocasions justificar l'increment transferencia preveu, fet, disminucio d'aquesta propietat. 2. Fusio nanoparticules: les nanoparticules mostren un increment abrupte la velocitat transicio fase mesura seu radi decreix. Presentarem descriu fenomen. El preveu temps totals solid-liquid concorden amb observacions experimentals. 3. Increment flux d'un fluid nanotubs carboni (CNT): sobre l'increment es poden explicar mitjancant equacions dinamica incorporacio d'una d'extincio (depletion layer) interficie entre i solid.

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