Second-Order Model

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Gordon Mckay - One of the best experts on this subject based on the ideXlab platform.

  • equilibrium and kinetics of copper ions removal from wastewater by ion exchange
    Chinese Journal of Chemical Engineering, 2016
    Co-Authors: P C C Siu, Gordon Mckay, Len Foong Koong, Junaid Saleem, J P Barford
    Abstract:

    Abstract The removal of copper ions from wastewater by ion exchange has been studied using an iminodiacetate resin. The capacity of the resin for the copper ions has been determined to be 2.30 mmol·g − 1 by measuring the equilibrium isotherm at 25 °C and initial pH value of 3.5 where the final equilibrium pH value is 5. An analysis of equilibrium isotherm Models showed that the best fit Model was the Langmuir–Freundlich. The kinetics of the ion exchange process have been investigated and four kinetic Models have been tested namely: Ritchie Model, pseudo-second order Model, pseudo-first order Model and the Elovich Model. The pseudo-second order Model provides the best fit to the kinetic data.

  • pseudo second order Model for sorption processes
    Process Biochemistry, 1999
    Co-Authors: Gordon Mckay
    Abstract:

    A literature review of the use of sorbents and biosorbents to treat polluted aqueous effluents containing dyes:organics or metal ions has been conducted. Over 70 systems have been reported since 1984 and over 43 of these reported the mechanism as being a pseudo-first order kinetic mechanism. Three sorption kinetic Models are presented in this paper and have been used to test 11 of the literature systems previously reported as first order kinetics and one system previously reported as a second order process. In all 12 systems, the highest correlation coefficients were obtained for the pseudo-second order kinetic Model. © 1999 Elsevier Science Ireland Ltd. All rights reserved.

Wen Lih Che - One of the best experts on this subject based on the ideXlab platform.

  • a computational fluid dynamics study on the heat transfer characteristics of the working cycle of a β type stirling engine
    Energy Conversion and Management, 2014
    Co-Authors: Jose Leo Salaza, Wen Lih Che
    Abstract:

    A compressible CFD code has been developed to study the heat transfer characteristics of a β-type Stirling engine with a very simple design and geometry. The results include temperature contours, velocity vectors, and distributions of local heat flux along solid boundaries at several important time steps as well as variations of average temperatures, integrated rates of heat input, heat output, and engine power. It is found that impingement is the major heat transfer mechanism in the expansion and compression chamber, and the temperature distribution is highly non-uniform across the engine at any given moment. The results, especially the rates of heat transfer, are quite different from those obtained by a Second-Order Model. The variations of heat transfer rates are much more complicated than the simple variations returned by the Second-Order Model. This study sheds light into the complex heat transfer mechanism inside the Stirling engine and is very helpful to the understanding of the fundamental process of the engine cycle.

Subhalaxmi Pradhan - One of the best experts on this subject based on the ideXlab platform.

  • optimization of reactive extraction of castor seed to produce biodiesel using response surface methodology
    Fuel, 2012
    Co-Authors: Subhalaxmi Pradhan, Chandu S Madankar, Pravakar Mohanty, S N Naik
    Abstract:

    Biodiesel was produced by reactive extraction (RE) of castor seed to reduce the cost and time associated with conventional method. The objective of this study is to determine the relationship between various important parameters of the RE process to obtain a high yield of FAME. Response surface methodology (RSM) was used to statistically analyze and optimize the operating parameters of the process. A central composite design (CCD) was adopted to study effects of catalyst concentration, methanol to oil molar ratio, reaction temperature and mixing intensity on yield of FAME. The results of RSM analysis indicate that catalyst concentration and methanol to oil molar ratio have most significant effect on the yield of FAME, with R-2 = 0.998 shows fitness of a Second-Order Model. The interaction terms of catalyst concentration with both methanol to oil molar ratio and reaction temperature exhibited a positive effect delivering (P < 0.0001). Based on Second-Order Model, optimum condition for this reaction is found to be methanol to oil molar ratio of 225:1, catalyst concentration 1.0 wt.% of oil, reaction temperature 55 degrees C and mixing intensity of 350 rpm. The mathematical Model (a quadratic polynomial equation) has developed adequately describing ranges of the experimental parameters studied and provides a statistically accurate prediction of the optimum yield of FAME. (C) 2012 Elsevier Ltd. All rights reserved.

K. Vasanth Kumar - One of the best experts on this subject based on the ideXlab platform.

  • Pseudo-second order Models for the adsorption of safranin onto activated carbon: comparison of linear and non-linear regression methods.
    Journal of Hazardous Materials, 2006
    Co-Authors: K. Vasanth Kumar
    Abstract:

    Kinetic experiments were carried out for the sorption of safranin onto activated carbon particles. The kinetic data were fitted to pseudo-second order Model of Ho, Sobkowsk and Czerwinski, Blanchard et al. and Ritchie by linear and non-linear regression methods. Non-linear method was found to be a better way of obtaining the parameters involved in the second order rate kinetic expressions. Both linear and non-linear regression showed that the Sobkowsk and Czerwinski and Ritchie's pseudo-second order Models were the same. Non-linear regression analysis showed that both Blanchard et al. and Ho have similar ideas on the pseudo-second order Model but with different assumptions. The best fit of experimental data in Ho's pseudo-second order expression by linear and non-linear regression method showed that Ho pseudo-second order Model was a better kinetic expression when compared to other pseudo-second order kinetic expressions.

S Sivanesan - One of the best experts on this subject based on the ideXlab platform.

  • pseudo second order kinetics and pseudo isotherms for malachite green onto activated carbon comparison of linear and non linear regression methods
    Journal of Hazardous Materials, 2006
    Co-Authors: Vasanth K Kumar, S Sivanesan
    Abstract:

    Pseudo second order kinetic expressions of Ho, Sobkowsk and Czerwinski, Blanachard et al. and Ritchie were fitted to the experimental kinetic data of malachite green onto activated carbon by non-linear and linear method. Non-linear method was found to be a better way of obtaining the parameters involved in the second order rate kinetic expressions. Both linear and non-linear regression showed that the Sobkowsk and Czerwinski and Ritchie's pseudo second order Model were the same. Non-linear regression analysis showed that both Blanachard et al. and Ho have similar ideas on the pseudo second order Model but with different assumptions. The best fit of experimental data in Ho's pseudo second order expression by linear and non-linear regression method showed that Ho pseudo second order Model was a better kinetic expression when compared to other pseudo second order kinetic expressions. The amount of dye adsorbed at equilibrium, qe, was predicted from Ho pseudo second order expression and were fitted to the Langmuir, Freundlich and Redlich Peterson expressions by both linear and non-linear method to obtain the pseudo isotherms. The best fitting pseudo isotherm was found to be the Langmuir and Redlich Peterson isotherm. Redlich Peterson is a special case of Langmuir when the constant g equals unity.

  • pseudo second order kinetic Models for safranin onto rice husk comparison of linear and non linear regression analysis
    Process Biochemistry, 2006
    Co-Authors: Vasanth K Kumar, S Sivanesan
    Abstract:

    Kinetic experiments were carried out for the sorption of safranin onto rice husk particles. The kinetic data were fitted to pseudo second order Model of Ho, Sobkowsk and Czerwinski, Blanachard and Ritchie by linear and non-linear regression method. Non-linear method was found to be a better way of obtaining the parameters involved in the second order rate kinetic expressions. Both linear and non-linear regression showed that the Sobkowsk and Czerwinski and Ritchie's pseudo second order Model were the same. Non-linear regression analysis showed that both Blanachard and Ho have similar ideas on the pseudo second order Model but with different assumptions. The best fit of experimental data in Ho's pseudo second order expression by linear and non-linear regression method showed that Ho pseudo second order Model was a better kinetic expression when compared to other pseudo second order kinetic expressions.