• Title/Summary/Keyword: kinetic equation

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Axial frequency analysis of axially functionally graded Love-Bishop nanorods using surface elasticity theory

  • Nazemnezhad, Reza;Shokrollahi, Hassan
    • Steel and Composite Structures
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    • v.42 no.5
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    • pp.699-710
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    • 2022
  • This work presents a comprehensive study on the surface energy effect on the axial frequency analyses of AFGM nanorods in cylindrical coordinates. The AFGM nanorods are considered to be thin, relatively thick, and thick. In thin nanorods, effects of the inertia of lateral motions and the shear stiffness are ignored; in relatively thick nanorods, only the first one is considered; and in thick nanorods, both of them are considered in the kinetic energy and the strain energy of the nanorod, respectively. The surface elasticity theory which includes three surface parameters called surface density, surface stress, and surface Lame constants, is implemented to consider the size effect. The power-law form is considered for variation of the material properties through the axial direction. Hamilton's principle is used to derive the governing equations and boundary conditions. Due to considering the surface stress, the governing equation and boundary condition become inhomogeneous. After homogenization of them using an appropriate change of variable, axial natural frequencies are calculated implementing harmonic differential quadrature (HDQ) method. Comprehensive results including effects of geometric parameters and various material properties are presented for a wide range of boundary condition types. It is believed that this study is a comprehensive one that can help posterities for design and manufacturing of nano-electro-mechanical systems.

Evaluation of Removal Characteristics of Taste and Odor Causing Compounds using Meso-Porous Absorbent (메조공극 흡착제를 이용한 상수원수내 맛·냄새 유발물질 제거특성 평가)

  • Kim, Jong-Doo;Park, Chul-Hwi;Yun, Yeo-Bog;Lee, Dae-Sung;Kim, Hyo-Jeon;Kang, Seok-Tae
    • Journal of Korean Society of Environmental Engineers
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    • v.39 no.1
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    • pp.26-33
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    • 2017
  • The objective of this study was to evaluate the characteristic of adsorption by using a meso-porous adsorbent (MPA), and investigate the removal efficiency of geosmin which taste and odor causing compounds in drinking water supplies through batch test. The results for the adsorption isotherm was analyzed by using the Langmuir equation and Freundlich equation, generally being applied. And the study showed that the both Langmuir and Freundlich equation explains the results better. Both of pseudo-first-order model and pseudo-second-order model were respectively applied for evaluation of kinetic sorption property of geosmin onto MPA. The adsorption experiment results using MPA showed that maximum adsorption capacity of MPA was lower 7 times than that of GAC, and adsorption rate of MPA was faster 11 times than that of GAC, on the basis of pseudo-first-order model. Therefore, it was determined that MPA was effectively able to remove geosmin in drinking water supplies in short EBCT condition, but regeneration cycle in MAP process was shorter than that in conventional process.

Predictive Growth Model of Native Isolated Listeria monocytogenes on raw pork as a Function of Temperature and Time (온도와 시간을 주요 변수로 한 냉장 돈육에서의 native isolated Listeria monocytogenes에 대한 성장예측모델)

  • Hong, Chong-Hae;Sim, Woo-Chang;Chun, Seok-Jo;Kim, Young-Su;Oh, Deog-Hwan;Ha, Sang-Do;Choi, Weon-Sang;Bahk, Gyung-Jin
    • Korean Journal of Food Science and Technology
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    • v.37 no.5
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    • pp.850-855
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    • 2005
  • Model was developed to predict the growth of Listeria monocytogenes in raw pork. Experiment condition for model development was full 5-by-7 factorial arrangements of temperature (0, 5, 10, 15, and $20^{\circ}C$) and time (0, 1, 2, 3, 18, 48, and 120 hr). Gompertz values A, C, B, and M, and growth kinetics, exponential growth rate (EGR), generation time (GT), lag phase duration (LPD), and maximum population density (MPD) were calculated based on growth increased data. GT and LPD values gradually decreased, whereas EGR value gradually increased with increasing temperature. Response surface analysis (RSA) was carried out using Gompertz B and M values, to formulate equation with temperature being main control factor. This equation was applied to Gompertz equation. Experimental and predictive values for GT, LPD, and EGR, compared using the model, showed no significant differences (p<0.01). Proposed model could be used to predict growth of microorganisms for exposure assessment of MRA, thereby allowing more informed decision-making on potential regulatory actions of microorganisms in raw pork.

Dissipation Patterns of Triazole Fungicides Estimated from Kinetic Models in Apple (Triazole계 살균제의 사과 중 잔류양상의 Kinetic Model 적용)

  • Kim, Ji-Hwan;Hwang, Jeong-In;Jeon, Young-Hwan;Kim, Hyo-Young;Ahn, Ji-Woon;Kim, Jang-Eok
    • Journal of Applied Biological Chemistry
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    • v.55 no.4
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    • pp.235-239
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    • 2012
  • While cultivating crops, it is important to predict the biological half-lives of applied pesticides to ensure the safety of agricultural products. Dissipation patterns of the triazole fungicides, such as diniconazole and metconazole, during the cultivation of apple were established by utilizing the dissipation curve. As well as, the biological half-lives of the pesticides in apples were calculated using the residue amounts of them. The apples were harvested from 0 to 14 days after spraying diniconazole (WP) and metconazole (SC) at a recommended and three times of the recommended dose. Initial concentrations of diniconazole in apple were 0.09 and 0.15 mg/kg at a recommended and three times of the recommended dose, respectively, which were below MRL 1.0 mg/kg established by KFDA. The equations of biological half-life were $C_t=0.0811e^{-0.179x}$(half life: 3.9 days) and $C_t=0.1451e^{-0.148x}$ (half life: 4.7 days), respectively. In case of metconazole, initial concentrations in apple were 0.10 and 0.25 mg/kg, below MRL 1.0mg/kg, and biological half-life equations were $C_t=0.0857e^{-0.055x}$ (half life: 12.6 days) and $C_t=0.2304e^{-0.052x}$ (half life: 13.3 days), respectively. Therefore, when triazole fungicides were applied during the cultivation of apple, the biological half-life need to be calculated with the optimal equation model.

Study on Isothermal Crystallization Behavior and Surface Properties of Non-Oriented PLA Film with Annealing Temperature (어닐링 온도에 따른 무배향 PLA 필름의 등온결정화 거동과 표면물성에 관한 연구)

  • Kim, Jihye;Kim, Moon-Sun;Kim, Byung-Woo
    • Korean Chemical Engineering Research
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    • v.49 no.5
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    • pp.611-616
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    • 2011
  • In the study, annealing temperature was optimized by comparing with avrami crystallization rate and constant (k) using non-oriented PLA film as a base film. Crystallization rate constant of PLA film was 1.64, 1.68, and 1.26 at $120^{\circ}C$, $130^{\circ}C$, and $140^{\circ}C$, respectively. Annealing temperature was mainly affected on the surface properties such as rougnness (Ra) and kinetic friction coefficient (${\mu}_k$). Roughness of PLA film was 0.006 ${\mu}m$ at $80^{\circ}C$ and increased to 0.009 ${\mu}m$ 0.015 ${\mu}m$, 0.027 ${\mu}m$, and 0.029 ${\mu}m$ at $110^{\circ}C$, $120^{\circ}C$, $130^{\circ}C$ and $140^{\circ}C$, respectively. Kinetic friction coefficient decreased 0.45 to 0.43, 0.33, 0.31, 0.27 as annealing temperature was at $80^{\circ}C$, $110^{\circ}C$, $120^{\circ}C$, $130^{\circ}C$, and $140^{\circ}C$, respectivly. In addition, rate constant (k) was 0.58, 0.46, and 0.39 with adding 1 wt%, 3 wt%, and 5 wt% talc, respectively.

Thermodynamic Studies on the Adsorption of 4-Octylphenol on Carboxen by GC/MS Analysis (GC/MS 분석에 의한 4-Octylphenol의 Carboxen 흡착에 대한 열역학적 연구)

  • Lee, Joon-Bae;Park, Woo-Yong;Shon, Shungkun;Jung, Ji Eun;Jeong, Yong Ae;Gong, Bokyoung;Kim, Yu-Na;Kwon, O-Seong;Paeng, Ki Jung
    • Applied Chemistry for Engineering
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    • v.29 no.3
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    • pp.356-361
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    • 2018
  • It is common to analyze volatile organic compound (VOC) or semi-VOC (SVOC) in a sample composed of a complex matrix consisting of multiple components such as bloods through a separation process. Adsorption is a physical phenomenon in which certain components accumulate on the surface of other phases. In order to overcome difficulties in the pretreatment process, an adsorption is frequently used. Solid phase microextraction (SPME) equipment with porous carbon carboxen (CAR) is an example of adsorption application. In this study, the adsorption of 4-octylphenol to carboxen was examined. To do so, the extraction efficiency for such solvents as dichloromethane ($CH_2Cl_2$, DCM), ethylacetate ($CH_3COOC_2H_5$, EA) and diethylether ($C_2H_5OC_2H_5$, $Et_2O$) was studied and also the derivatization reaction for 4-octylphenol with reagents of bistrimethylsilyltrifluoroacetamide (BSTFA), methylchloroformate (MCF) and pentafluorobenzylbromide (PFBBr) was compared. The combination of DCM and BSTFA showed good performance thus they were adopted for this study. Thermodynamic adsorption experiments showed that the adsorption process was endothermic and Freundlich isotherm equation was more suitable than Langmuir isotherm. It was also found that the adsorption followed a pseudo-$2^{nd}$ order kinetic model.

Degradation Kinetics of Carbohydrate Fractions of Ruminant Feeds Using Automated Gas Production Technique

  • Seo, S.;Lee, Sang C.;Lee, S.Y.;Seo, J.G.;Ha, Jong K.
    • Asian-Australasian Journal of Animal Sciences
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    • v.22 no.3
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    • pp.356-364
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    • 2009
  • The current ruminant feeding models require parameterization of the digestion kinetics of carbohydrate fractions in feed ingredients to estimate the supply of nutrients from a ration. Using an automated gas production technique, statistically welldefined digestion rate of carbohydrate, including soluble carbohydrate, can be estimated in a relatively easy way. In this study, the gas production during in vitro fermentation was measured and recorded by an automated gas production system to investigate degradation kinetics of carbohydrate fractions of a wide range of ruminant feeds: corn silage, rice straw, corn, soybean hull, soybean meal, and cell mass from lysine production (CMLP). The gas production from un-fractionated, ethanol insoluble residue and neutral detergent insoluble residue of the feed samples were obtained. The gas profiles of carbohydrate fractions on the basis of the carbohydrate scheme of the Cornell Net Carbohydrate and Protein System (A, B1, B2, B3 and C) were generated using a subtraction approach. After the gas profiles were plotted with time, a curve was fitted with a single-pool exponential equation with a discrete lag to obtain kinetic parameters that can be used as inputs for modern nutritional models. The fractional degradation rate constants (Kd) of corn silage were 11.6, 25.7, 14.8 and 0.8%/h for un-fractioned, A, B1 and B2 fractions, respectively. The values were statistically well estimated, assessed by high t-value (>12.9). The Kd of carbohydrate fractions in rice straw were 4.8, 21.1, 5.7 and 0.5%/h for un-fractioned, A, B1 and B2 fractions, respectively. Although the Kd of B2 fraction was poorly defined with a t-value of 4.4, the Kd of the other fractions showed tvalues higher than 21.9. The un-fractioned corn showed the highest Kd (18.2%/h) among the feeds tested, and the Kd of A plus B1 fraction was 18.7%/h. Soybean hull had a Kd of 6.0, 29.0, 3.8 and 13.8%/h for un-fractioned, A, B1 and B2, respectively. The large Kd of fraction B2 indicated that NDF in soybean hull was easily degradable. The t-values were higher than 20 except for the B1 fraction (5.7). The estimated Kd of soybean meal was 9.6, 24.3, 5.0%/h for un-fractioned, A and B1 fractions, respectively. A small amount of gas (5.6 ml at 48 ho of incubation) was produced from fermentation of CMLP which contained little carbohydrate. In summary, the automated gas production system was satisfactory for the estimation of well defined (t-value >12) kinetic parameters and Kd of soluble carbohydrate fractions of various feedstuffs that supply mainly carbohydrate. The subtraction approach, however, should be applied with caution for some concentrates, especially those which contain a high level of crude protein since nitrogen-containing compounds can interfere with gas production.

Optimization of Time to Activate Time-Temperature Integrator (TTI) in Cold Chain System of Alaska Pollack (명태의 냉장유통 단계에서 시간-온도이력 지시계(TTI) 부착시점의 최적화)

  • Choi, Jung-Hwa;Park, Soo Yeon;Kang, Jin Won;Hwang, Sang Min;Kim, Min Jung;Kim, Min Jung;Lee, Man Hi;Lee, Seung Ju
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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    • v.20 no.3
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    • pp.97-102
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    • 2014
  • It was mathematically analyzed at which steps to activate TTI in the cold chain for Alaska pollack, assuming that the performance of a commercial TTI product, and Fresh-check, could not always be optimized for the pollack. Three places were selected for the TTI activation, such as on fishing ship, Busan cooperative fish market, and mart. First, the kinetic and Arrhenius temperature dependent models were experimentally built under isothermal conditions. The color index of TTI and the level of Pseudomonas spp. of pollack were measured at time intervals. Second, the resultant models were used in the mathematical calculations for dynamic temperature conditions included in the cold chain. As a result, the TTI activated at the mart place showed the best agreement between the spoilage time of the pollack and the time for the TTI color to reach its end-point. It was therefore found that it is practically important to optimally select the TTI activation place or time when using a commercial TTI product.

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Studies on the Stability of Multivitamin Solutions (종합비타민 액제의 안정성에 대한 연구)

  • Park, Hong-Koo
    • Applied Biological Chemistry
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    • v.43 no.1
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    • pp.39-45
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    • 2000
  • The stability of vitamin A, $B_1,\;B_2,\;B_6$, C in aqueous multivitamin solutions was carried out by means of estimation of reaction velocity and the results are described in this paper. The stability of vitamin A, $B_1$ and C due to thermal degradation method in aqueous multivitamin solutions was evaluated at 40, 50, 60 and $70^{\circ}C$ up to 40 days. The shelf-lives of vitamin A, B₁ and C in this preparation, calculated using the Arrhenius equation, were 1493, 449 and 639 days at $25^{\circ}C$ respectively. Examination was made on the effect of initial concentration of vitamin $B_2$$(C_0)$ on light fading of vitamin $B_2$ in aqueous multivitamin solutions and it was found that the fading progressed according to the following formula : $-{\frac {dc}{dt}}=K_c\;{\frac C{C_0}}$ where Kc is apparent light-fading rate constant relate to $C_0$. Photodecomposition of vitamin $B_6$ in aqueous multivitamin solutions was apparently first order kinetics and was stable in polyethylene>brown color>glass container to sunlight. Photodecomposition of vitamin $B_6$ in four seasons also investigated.

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Kinetic Studies on the Thermal Degradation of Pantothenic Acid (Pantothenic Acid의 열분해(熱分解)에 관한 속도론적(速度論的) 연구(硏究))

  • Pyun, Yu-Ryang;Park, Hyun-Jeong;Cho, Hyung-Yong;Lee, Young-Yup
    • Korean Journal of Food Science and Technology
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    • v.13 no.3
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    • pp.188-193
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    • 1981
  • Thermal degradation of pantothenic acid in potassium biphthalate buffer and in food samples such as rice, mushroom and beef was studied as functions of temperature and pH. Thermal degradation of pantothenic acid in buffer and food systems followed first order reaction at temperature between $60{\sim}104^{\circ}C$. Activation energy calculated from the Arrhenius equation ranged from 15,700 cal/mole 17,300 cal/mole for both systems. D values at $120^{\circ}C$ were approximately 18 hours for food samples and 15.4 hours at pH 5.65 for buffer sample. Z values of food samples were about $37^{\circ}C$, which were similar to those of buffer sample. The decomposition rate constant of pantothenic acid in buffer sample decreased when the pH increased from 4.0 to 6.46, but activation energy increased. In the range of $pH\;6.46{\sim}8.0$, decomposition rate constant increased but activation energy decreased as pH increased. The kinetic model of pantothenic acid decomposition in buffer system was proposed on the basis of empirical relationship.

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