• Title/Summary/Keyword: compactness conditions

Search Result 64, Processing Time 0.027 seconds

Morphological features of thermophilic activated sludge treating food industry wastewater in MBR

  • Ince, Mahir;Topaloglu, Alikemal;Ince, Elif
    • Membrane and Water Treatment
    • /
    • v.9 no.1
    • /
    • pp.33-42
    • /
    • 2018
  • Microscopic examination of the activated sludge and morphological characterization of the flocs provides detailed information about the treatment process. The aim of this study is to investigate the morphological parameters of flocs obtained from a thermophilic jet loop membrane bioreactor (JLMBR) in different sludge retention times (SRTs), considering EPS and SMP concentration, hydrophobicity, zeta potential. The results showed that irregularity decreased with the increasing SRT. The compactness value was calculated to be less than 1 for all SRTs. However, the sludge had a more compact structure when the SRT increased. Zeta potential increased whereas hydrophobicity and floc size reduced, with increasing SRT. Furthermore, 2-D porosity calculated using the hole ratio was higher at greater SRTs. Hence, there was a significant correlation between the results obtained using the imaging technique and operation conditions of thermophilic JLMBR.

GLOBAL ATTRACTORS FOR NONLOCAL PARABOLIC EQUATIONS WITH A NEW CLASS OF NONLINEARITIES

  • Anh, Cung The;Tinh, Le Tran;Toi, Vu Manh
    • Journal of the Korean Mathematical Society
    • /
    • v.55 no.3
    • /
    • pp.531-551
    • /
    • 2018
  • In this paper we consider a class of nonlocal parabolic equations in bounded domains with Dirichlet boundary conditions and a new class of nonlinearities. We first prove the existence and uniqueness of weak solutions by using the compactness method. Then we study the existence and fractal dimension estimates of the global attractor for the continuous semigroup generated by the problem. We also prove the existence of stationary solutions and give a sufficient condition for the uniqueness and global exponential stability of the stationary solution. The main novelty of the obtained results is that no restriction is imposed on the upper growth of the nonlinearities.

CONTROLLABILITY OF SECOND ORDER SEMI-LINEAR NEUTRAL IMPULSIVE DIFFERENTIAL INCLUSIONS ON UNBOUNDED DOMAIN WITH INFINITE DELAY IN BANACH SPACES

  • Chalishajar, Dimplekumar N.;Acharya, Falguni S.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.48 no.4
    • /
    • pp.813-838
    • /
    • 2011
  • In this paper, we prove sufficient conditions for controllability of second order semi-linear neutral impulsive differential inclusions on unbounded domain with infinite delay in Banach spaces using the theory of strongly continuous Cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. The controllability results in infinite dimensional space has been proved without compactness on the family of Cosine operators.

ON THE LEBESGUE SPACE OF VECTOR MEASURES

  • Choi, Chang-Sun;Lee, Keun-Young
    • Bulletin of the Korean Mathematical Society
    • /
    • v.48 no.4
    • /
    • pp.779-789
    • /
    • 2011
  • In this paper we study the Banach space $L^1$(G) of real valued measurable functions which are integrable with respect to a vector measure G in the sense of D. R. Lewis. First, we investigate conditions for a scalarly integrable function f which guarantee $f{\in}L^1$(G). Next, we give a sufficient condition for a sequence to converge in $L^1$(G). Moreover, for two vector measures F and G with values in the same Banach space, when F can be written as the integral of a function $f{\in}L^1$(G), we show that certain properties of G are inherited to F; for instance, relative compactness or convexity of the range of vector measure. Finally, we give some examples of $L^1$(G) related to the approximation property.

A study on the entry of [Sinpyon-jejong-kyojang-chonglok] (신편제종교장총록의 저록에 관한 연구)

  • 김성수
    • Journal of Korean Library and Information Science Society
    • /
    • v.26
    • /
    • pp.1-22
    • /
    • 1997
  • [Sinpyon-jejong-kyojang-chonglok] is a bibliography and subject catalog, called [Sokjangkyoung-catalog], which was introduced in Coryo dynasty. It was developed by [Degakguksa Yuichun] in 11th century(1090) and holds an important feature in Korean cataloging history as well as in the world cataloging history as the first [Sokjangkyoung-catalog]. This study investigates the entry description of [Kyojang-chonglok] and analyzes it in the contemporary perspective of Cataloging Rules. The study has found that the [Kyojang-chonglok] Follows the 'title main entry method'. Since the modern a n.0, pproach a n.0, pplies direct method which utilizes title, rather than indirect method which utilizes author name, we could safely assume that [Kyojang-chonglok] follows the modern principles such as standardization of cataloging and unification of bibliographical description. We could also extend our findings to conclude that [Sinpyon-jejong-kyojang-chonglok] created a foundation for modern 'title main entry system' such as ISBD and KCR3. Also, the bibliographical description of [Kyojang-chonglok] meets the conditions of B. S. Wyner, shown in the below. 1) logicality 2) flexibility 3) quickness 4) compactness 5) economic

  • PDF

SOLVABILITY OF NONLINEAR ELLIPTIC TYPE EQUATION WITH TWO UNRELATED NON STANDARD GROWTHS

  • Sert, Ugur;Soltanov, Kamal
    • Journal of the Korean Mathematical Society
    • /
    • v.55 no.6
    • /
    • pp.1337-1358
    • /
    • 2018
  • In this paper, we study the solvability of the nonlinear Dirichlet problem with sum of the operators of independent non standard growths $$-div\({\mid}{\nabla}u{\mid}^{p_1(x)-2}{\nabla}u\)-\sum\limits^n_{i=1}D_i\({\mid}u{\mid}^{p_0(x)-2}D_iu\)+c(x,u)=h(x),\;{\in}{\Omega}$$ in a bounded domain ${\Omega}{\subset}{\mathbb{R}}^n$. Here, one of the operators in the sum is monotone and the other is weakly compact. We obtain sufficient conditions and show the existence of weak solutions of the considered problem by using monotonicity and compactness methods together.

On-line Real Time Soil Sensor

  • Shibusawa, S.
    • Agricultural and Biosystems Engineering
    • /
    • v.4 no.1
    • /
    • pp.28-33
    • /
    • 2003
  • Achievements in the real-time soil spectro-photometer are: an improved soil penetrator to ensure a uniform soil surface under high speed conditions, real-time collecting of underground soil reflectance, getting underground soil color images, use of a RTK-GPS, and all units are arranged for compactness. With the soil spectrophotometer, field experiments were conducted in a 0.5 ha paddy field. With the original reflectance, averaging and multiple scatter correction, Kubelka-Munk (KM) transformation as soil absorption, its 1st and 2nd derivatives were calculated. When the spectra was highly correlated with the soil parameters, stepwise regression analysis was conducted. Results include the best prediction models for moisture, soil organic matter (SOM), nitrate nitrogen (NO$_3$-N), pH and electric conductivity (EC), and soil maps obtained by block kriging analysis.

  • PDF

Effect of Tension and Wind Velocity on Temperature of ACSR Overhead Conductor (장력과 풍속이 ACSR 가공송전선의 온도에 미치는 영향)

  • Kim Shang-Shu;Kim Byung-Geol;Lee Dong-Il;Min Byung-Uk
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
    • /
    • v.19 no.5
    • /
    • pp.480-485
    • /
    • 2006
  • A research was undertaken on the thermal properties and behavior of the conductors in a controlled chamber, which was designed to implement the outdoor air temperature, heat and wind conditions With ACSR $410mm^2$ overhead conductors, we measured the maximum temperature of the conductors and the temperature gradient from the core to the surface regions as a function of current, tension, wind velocity and outdoor air temperature. This test also provided a comparative analysis between the measured temperature values of conductors in the controlled chamber and the theoretical calculations of ANSI/IEEE at normal condition. There was not much influence of tension on the conductor temperature. However, the compactness of conductor wires increased with an increase in tension, which eventually increased the coefficient of effective thermal conductivity and, accordingly the conductor temperature was reduced more or less.

Decomposition of Hazardous Gaseous Substances by Discharge Plasma (방전 프라즈마 화학반응을 이용한 유해물질의 분해)

  • 우인성;황명환;산외번장
    • Journal of the Korean Society of Safety
    • /
    • v.11 no.4
    • /
    • pp.79-83
    • /
    • 1996
  • In this study, in attempt to develop a new application technique of discharge plasma, we employed a kind of discharging method called SPCP ( short for Surface discharge induced Plasma Chemical Process). Applications of SPCP have been widely used for years. Compact ozonizers to deodorize household equipments like refrigerators we a part of such applications. We took advantages of the compactness and durability of the SPCP electrode to set up an experimental apparatus for decompositing vapor of aromatic hydrocarbons such as toluene, benzene and xylenes, which are major substances given off In painting or washing processes and aggravate working conditions. Results obtained from this study are summarized as follows. 1) Aromatic hydrocarbon vapors of up to 2,000ppm were almost thoroughly decomposed at the flow rate of 4ℓ/min or lower under the discharge with electric power of 400 Watts. 2) In dry air, as the decomposition progresses, tar-like substance deposits on the discharging areas, which deteriorated the decomposition rate in the end. This substance, however, was almost thoroughly removed by keeping discharge in dry air containing no solvent vapor.

  • PDF

An Empirical Correlation of Refrigerant Flow Rate Through Coiled Capillary Tubes (코일 형상을 고려한 모세관 냉매유량 예측 상관식)

  • Park, Cha-Sik;Jang, Yong-Hee;Lee, Young-Soo;Kim, Yong-Chan
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.31 no.1 s.256
    • /
    • pp.91-98
    • /
    • 2007
  • Air-conditioners use a spirally coiled capillary tube as an expansion device to enhance compactness of the unit. However, most empirical correlations in open literature were developed for straight capillary tubes without considering coiled effects on the mass flow rate. The objectives of this study are to investigate the flow characteristics of coiled capillary tubes and to develop a generalized correlation for mass flow rate through coiled capillary tubes. The mass flow rates through the coiled capillary tubes and straight capillary tubes were measured by varying operating conditions and tube geometry. The condensing temperatures varied at 40.5, 47.5 and $54.5^{\circ}C$, and subcoolings altered at 3.5, 6.5 and $11.5^{\circ}C$. The mass flow rates of the coiled capillary tubes decreased by 5 to 16% compared with those of the straight capillary tubes at the same operating conditions. An empirical correlation was developed by introducing equivalent length of capillary tube with non-dimensional parameters for coiled shape. The present correlation predicts the data with average and standard deviations of 0.33% and 3.24%, respectively.