20.500.12556/RUL-161418 Stabilnost Taylor-Couettovega toka med fazno spremembo Stability of Taylor-Couette flow during phase transition V magistrski nalogi obravnavamo stabilnost Taylor-Couettovega toka viskoelastičnega fluida med fazno spremembo, ki je časovno in krajevno odvisna. Izpeljava stabilnostnih enačb, ki smo jih numerično reševali v programu Wolfram Mathematica, izhaja iz ravnovesne Orr-Sommerfeldove enačbe in kontinuitetne enačbe o ohranitvi mase. Ob upoštevanju linearne teorije majhnih motenj harmonske oblike, ki jih aproksimiramo z Besselovimi funkcijami, smo po metodi razcepa singularne vrednosti določili časovno stabilnost Taylor-Couettovega toka. Ugotovili smo, da je tok viskoelastičnega fluida najbolj stabilen tedaj, ko je fazna sprememba odvisna samo od časa. Elastičnost v viskoelastičnem fluidu povečuje togost fluida in posledično tok postane stabilnejši. In this master's thesis, we analyze the stability of the Taylor-Couette flow of a viscoelastic fluid during a phase transition that is time and place-dependent. The derivation of the stability equations, which we solved numerically using Wolfram Mathematica, is based on the equilibrium Orr-Sommerfeld equation and the continuum equation for mass conservation. Considering the linear theory of small perturbations of the harmonic form, approximated by Bessel functions, the time stability of the Taylor-Couette flow was determined using the Singular value decomposition method. We found that the flow of the viscoelastic fluid is most stable when the phase transition depends only on time. The elasticity in the viscoelastic fluid increases the rigidity of the fluid, and consequently, the flow becomes more stable. taylor-couettov tok fazna sprememba stabilnost viskoelastičen fluid taylor-couette flow phase transition stability viscoelastic fluid true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2024-09-11 08:30:56 2024-09-11 08:30:58 2024-12-18 11:49:20 0000-00-00 00:00:00 2024 0 0 XXII, 64 str. 2024 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 544.27:519.61:539.3(043.2) 265640 219665155 36999.pdf 36999.pdf 1 861DB5A4840032D8AAEB3BA6E1642E38 b66c0ed64164a2c1a46293d39eeeaac1fc5accf1c3ccf6ceb089b17c7913d20c 5abbf560-7007-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=190347 Fakulteta za strojništvo 0 0 0