60 research outputs found

    Equilibrium states for potentials with \sup\phi - \inf\phi < \htop(f)

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    In the context of smooth interval maps, we study an inducing scheme approach to prove existence and uniqueness of equilibrium states for potentials ϕ\phi with he `bounded range' condition \sup \phi - \inf \phi < \htop, first used by Hofbauer and Keller. We compare our results to Hofbauer and Keller's use of Perron-Frobenius operators. We demonstrate that this `bounded range' condition on the potential is important even if the potential is H\"older continuous. We also prove analyticity of the pressure in this context.Comment: Added Lemma 6 to deal with the disparity between leading eigenvalues and operator norms. Added extra references and corrected some typo

    Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies

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    Delone sets of finite local complexity in Euclidean space are investigated. We show that such a set has patch counting and topological entropy 0 if it has uniform cluster frequencies and is pure point diffractive. We also note that the patch counting entropy is 0 whenever the repetitivity function satisfies a certain growth restriction.Comment: 16 pages; revised and slightly expanded versio

    On stochastic sea of the standard map

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    Consider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show that for many parameters (residual subset in an open set approaching the critical value) the corresponding diffeomorphism has a transitive invariant set Ω\Omega of full Hausdorff dimension. The set Ω\Omega is a topological limit of hyperbolic sets and is accumulated by elliptic islands. As an application we prove that stochastic sea of the standard map has full Hausdorff dimension for sufficiently large topologically generic parameters.Comment: 36 pages, 5 figure

    Separation of1-propanol vapour from non-condensable gas during ETSA process

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    Przedstawiono analizę wpływu wielkości strumienia gazu obojętnego na przebieg i efektywność wykraplania par 1-propanolu w skraplaczu wężow-nicowym. Stwierdzono, że w wężownicy skraplacza występują trzy strefy wymiany ciepła. Analizę przeprowadzono dla strumieni azotu 80-220 dm3/h i temperatury -32 to -10°C. Stwierdzono, że efektywność wymiany ciepła wzrasta wraz z obniżeniem strumienia azotu i temperatury kondensacji.Experimental and theoretical investigations dealing with condensation of 1-propanol - nitrogen mixture inside the 4 mm ID coil condenser tube are presented in the paper. The studies were performed with nitrogen flow rate varying from 80 to 220 dm3/h. The operating temperature ranged from -32 to -10°C. The energy efficiency of VOC condensation increased with the decreasing of non-condensable gas flow rate and operating temperature

    Estimation of activated carbon bed utilization in the cyclic ETS process

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    Zbadano wpływ szerokości strefy niewykorzystanego złoża w kolumnie adsorpcyjnej na efektywność desorpcji elektrotermicznej 2-propa-nolu W oparciu o pomiary dynamiki adsorpcji obliczono wskaźniki LUB i TPR oraz szerokość strefy MTZ. Stwierdzono, że ilość energii pobranej do desorpcji tej samej masy 2-propanolu ulega zwiększeniu, jeśli proces adsorpcji nic jest prowadzony do stanu pełnego nasycenia złoża.Breakthrough data were used to determine the MTZ length, throughput ratio and unused bed length. The axial isopropanol loading profile of an activated carbon column has an important influence on electrothermal desorption efficiency. The total electrical energy consumed during desorption per mol of organic vapour decreased with the increase of final isopropanol concentration in outlet gas during the adsorption stage

    Ethanol dewatering on zeolite molecular sieves by adsorption

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    Przedstawiono wyniki badań równowagi i kinetyki adsorpcyjnego odwadniania ciekłego etanolu na zeolitowych sitach molekularnych 3A. Izotermy adsorpcji opisano równaniem Langmuira. Do opisu wyników adsorpcji zastosowano pięć modeli kinetycznych: pseudo-pierwszorzędowej i pseudodrugorzędowej kinetyki, dyfuzji wewnątrzcząstkowej, McKaya i Urano-Tachikawy. Mechanizm procesu został określony z modelu dyfuzji wewnątrzcząstkowej.Adsorptive dewatering of ethanol on 3A zeolite molecular sieves was investigated. Time, concentration and temperature were chosen as parameters in the experiments. Adsorption isotherms were described by the Langmuir cquation. Five kinetic models, i.e., pseudo-first order, pseudo-second order, intraparticle diffusion, McKay and Urano-Tachikawa were applied to fit the experimental kinetic data. The mechanism of adsorption process was determined from the intraparticle diffusion model

    Experimental evaluation of coil heat exchanger effectiveness

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    W pracy przedstawiono analizę wpływu wielkości strumienia, składu i temperatury mieszaniny gazowej na efektywność cieplną skraplacza wężownicowego. Analizę przeprowadzono dla obszaru laminarnego przepływu gazu, w zakresie temperatur -30 do -10°C. Stwierdzono, że efektywność skraplacza wzrasta wraz ze wzrostem prędkości przepływu gazu oraz spadkiem temperatury. Sprawność ta jest większa, gdy mieszanina gazowa zawiera pary 2-propanolu i gdy w wężownicy zachodzi ich kondensacja.The aim of this work was to investigate an influence of temperature, air flow rate and gas mixture composition on the effectiveness of coil heat exchanger. The studies were performed with air flow rate varying from 3 to 20 dm3/min (laminar flow range). Operating temperatures ranged from -30 to -10°C. The effectiveness increased with increasing air flow rate and decreasing operating temperature. This effectiveness was higher when gas mixture contained 2-propanol vapours condensing in the coil
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