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Suggestion of an optimal numerical method for solution of the Rayleigh-Plesset equation with rebounding
Petrík, Peter ; Maršík, František (advisor) ; Zima, Patrik (referee)
Na/ev pram: X a v i l i opt.inia.lm niunericke metody pro le.^ loviuce s pmdkyini kavil acni'mi kolapsx Autor: Peter Peln'k Katedra (usl.av): Malemalickv uslav I ' K Vedouci bakalafske prace: Piol. hit!,. Marsik Fianlisek. UrSc. e-mail vodouci'lio: marsik'nt .ras.c/ Abstrnkt: V praci si ndnicme presnost a casovou miioenosl jednokrokovvch ex- plicit niVh I l i r t u d ( Klin;!,c-l\UtT;i. Bulirscll-St oer) s ;id;ipt a h i l l l l l l l klokem v Kayleijdl- Plesselove lovnici, ktera popiMije vyvoj polomei n pi v nne l)iil)iiii\ \ kapalinr sc /nicnaini tln.ku. McUidv pndcriiujf lok/ilni chybii \ nn.stccli kdlapsu hiihlin. av^ik ^lobi'ilnf c!i\'l)a /usta"\;i \ nidu pou/itc tulcrancc, Bulii'scli-St.ocr inctdda \a ncjiiKMis] CMSOVOH nai'ociK)St. V pfi'padr [^ini^c-Kullii iiK'tnd /;i.\isi \ylicr o|itiiiuil)ii nirtdd\ na pou/itr lolcranci. Pli slrcdnicli tnln ancich ur\'i lilujc \-vpocc! i pnuxiti iT^ukiri/acr. (j. xavcdciii niA'f'1 jicx/ixihlr pmiiirnnr nii'slo rasu. ('MSOV-'I ii/irocno^l poti/,it(' i)nMod\c tiicni' s ruxnynii pou/Jtyini vaiiatil a.nii rovtiicc (i/u(cnuick;i aproxi- inacr/adialiat ick/i aproxiniacc plvniic sln/ky olisa.hu luililiiiy. si lacilt'lun./ nest a.rit.clna kapalina)- I'l'i nekteryeh naslavcniYli \st ilpni'eli paranirl I'll \ i/,ol enilirkc vai'iatile io\"iiice doelii'txi k padu \'ypoelu...
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Suggestion of an optimal numerical method for solution of the Rayleigh-Plesset equation with rebounding
Petrík, Peter ; Zima, Patrik (referee) ; Maršík, František (advisor)
Na/ev pram: X a v i l i opt.inia.lm niunericke metody pro le.^ loviuce s pmdkyini kavil acni'mi kolapsx Autor: Peter Peln'k Katedra (usl.av): Malemalickv uslav I ' K Vedouci bakalafske prace: Piol. hit!,. Marsik Fianlisek. UrSc. e-mail vodouci'lio: marsik'nt .ras.c/ Abstrnkt: V praci si ndnicme presnost a casovou miioenosl jednokrokovvch ex- plicit niVh I l i r t u d ( Klin;!,c-l\UtT;i. Bulirscll-St oer) s ;id;ipt a h i l l l l l l l klokem v Kayleijdl- Plesselove lovnici, ktera popiMije vyvoj polomei n pi v nne l)iil)iiii\ \ kapalinr sc /nicnaini tln.ku. McUidv pndcriiujf lok/ilni chybii \ nn.stccli kdlapsu hiihlin. av^ik ^lobi'ilnf c!i\'l)a /usta"\;i \ nidu pou/itc tulcrancc, Bulii'scli-St.ocr inctdda \a ncjiiKMis] CMSOVOH nai'ociK)St. V pfi'padr [^ini^c-Kullii iiK'tnd /;i.\isi \ylicr o|itiiiuil)ii nirtdd\ na pou/itr lolcranci. Pli slrcdnicli tnln ancich ur\'i lilujc \-vpocc! i pnuxiti iT^ukiri/acr. (j. xavcdciii niA'f'1 jicx/ixihlr pmiiirnnr nii'slo rasu. ('MSOV-'I ii/irocno^l poti/,it(' i)nMod\c tiicni' s ruxnynii pou/Jtyini vaiiatil a.nii rovtiicc (i/u(cnuick;i aproxi- inacr/adialiat ick/i aproxiniacc plvniic sln/ky olisa.hu luililiiiy. si lacilt'lun./ nest a.rit.clna kapalina)- I'l'i nekteryeh naslavcniYli \st ilpni'eli paranirl I'll \ i/,ol enilirkc vai'iatile io\"iiice doelii'txi k padu \'ypoelu...
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Measurement of the impulsive force generated by colapsing bubble close to a solid boundary
Müller, M. ; Unger, J. ; Holata, J. ; Zima, Patrik
The article presents experimental results of the acoustical and optical study of cavitation bubble collapse close to a solid boundary in water. The bubble was generated by discharge of low-voltage capacitor into a couple of wires closing a simple circuit. Different distances from the solid wall and different maximum bubble radii were studied. The bubble radius was studied using time-resolved photography and by PVDF film sensor glued on the solid boundary. The illumination was provided by high-power led diode. Synchronization of the system was provided by pulse generator connected to an oscilloscope. The impact power of the bubble to the wall was estimated from the time-resolved photography of the bubble and from the PVDF film sensor signal. The PVDF film sensor calibration was performed by a pendulum test to estimate the impact force.
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PERTURBANCE ANALYSIS AND FISSION MODEL OF COLLAPSING BUBBLE
Petrík, P. ; Zima, Patrik ; Ridha, A.
A new criterion for the assessment of the reliability of the Rayleigh-Plesset equation is proposed. An analysis of the shape stability of the spherical surface of the bubble during the collapse is used to develop a physical model, which incorporates the loss of shape stability, surface energy dissipation and fission process. The model also estimates the number of bubble fragments as well as conditions for the fission to occur. Finally, some aspects of the numerical code, especially error estimation and propagation of rounding error, are discussed.
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COLLAPSE OF A CAVITATION BUBBLE GENERATED BY LOW VOLTAGE DISCHARGE IN WATER
Müller, M. ; Unger, J. ; Buďárek, T. ; Zima, Patrik
The article presents experimental results of the optical study of cavitation bubble collapse close to a solid boundary in water. The bubble was generated by discharge of two low-voltage capacitors. High-speed CCD camera was used to record the time evolution of the bubble size. High-power halogen lamp was used for illumination. The system was synchronized by pulse generator connected to an oscilloscope. The velocity of the re-entrant jet was estimated from the time resolved photography for three different maximum bubble sizes.
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