Analytical study of unsteady sedimentation analysis of spherical particle in Newtonian fluid media

Fakour, M.; Rahbari, Alireza; Moghadasi, Hesam; Rahimipetroudi, Iman; Ganji, D.D.; Varmazyar, Mostafa

doi:10.2298/tsci160602181f

Cited by 8 publications

(6 citation statements)

References 36 publications

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“…Consideration of the disadvantages of methods for processing experimental data on sedimentation is presented in [15], but no algorithm is proposed by which the disadvantages can be improved. In addition to the drawbacks of methods for processing experimental data on sedimentation, there are drawbacks associated with the theoretical description of the sedimentation process [16]. However, the authors of [16] did not make changes to the model of the sedimentation process.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…In addition to the drawbacks of methods for processing experimental data on sedimentation, there are drawbacks associated with the theoretical description of the sedimentation process [16]. However, the authors of [16] did not make changes to the model of the sedimentation process.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…Usually, the least squares method is used to solve such problems: where k -the number of experimental measurements of the masses of sediment particles of the suspension (k≥n), m(t j ) is the calculated value of the sediment mass according to equation (4), m ex (t j ) -the experimental value of the sediment mass, F(t, m 1 , m 2 , m 3 , … m n ) -objective function. There are different methods for finding the minimum of the objective function [16].…”

Section: Derivation Of An Equation For Describing the Sedimentation Curvementioning

confidence: 99%

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Mathematical modeling of the sedimentation process for determining the fractional composition of suspensions

Chumak

Maksymiuk

Косенко

et al. 2021

EEJET

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Exceptional prospects for use in science, technology and industry are opened by highly dispersed powders (ultradispersed diamonds, nanoceramics, medicinal powders) and materials based on them. The properties of such materials depend on the particle size determined by sedimentation analysis. An equation is proposed for processing sedimentation analysis data, which does not depend on the size distribution law of polydisperse system particles, and is used to describe the distribution functions of particles with radii for clay suspensions. A program in the Microsoft Visual Basic for Applications (VBA) language has been created for calculating the fractional composition of suspensions according to the proposed equation; the correctness of its operation on a model system has been checked and confirmed. Experimental research has confirmed that the use of the developed program and the "Search for a solution" add-on for the MS Excel environment makes it possible to determine the fractional composition of suspensions. It has been proven that the proposed method can be used to analyze polydisperse systems. It has been found that for the suspensions under consideration, as containing 25 fractions, it is possible to determine the integral curve of the distribution of the masses of the particles of the dispersed phase along the radii. This allows to assert the possibility of using the proposed equation for processing sedimentation analysis data, which does not depend on the law of mass distribution of polydisperse system particles by size. Thus, there is reason to assert about the possibility of a reasonable determination of the fractional composition of any polydisperse systems. It is possible to obtain certain effects from the introduction of sedimentation analysis data processing according to the proposed equation in production, where the fractional composition of dispersed phases is regulated.

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Derivation Of An Equation For Describing the Sedimentation Curvementioning

confidence: 99%

See 1 more Smart Citation

Mathematical modeling of the sedimentation process for determining the fractional composition of suspensions

Chumak

Maksymiuk

Косенко

et al. 2021

EEJET

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“…The effect of particles' morphology on pool boiling has not been addressed in the literature. However, in some other applications for heat transfer, the influence of this parameter on geometrical and thermo-physical properties has been studied [181][182][183]. Deng et al [184] investigated the impact of particle parameters such as shape and size on flow boiling performance of microchannels.…”

Section: Nanoparticle Shape and Sizementioning

confidence: 99%

Recent Advances in the Critical Heat Flux Amelioration of Pool Boiling Surfaces Using Metal Oxide Nanoparticle Deposition

et al. 2020

Self Cite

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Pool boiling is an effective heat transfer process in a wide range of applications related to energy conversion, including power generation, solar collectors, cooling systems, refrigeration and air conditioning. By considering the broad range of applications, any improvement in higher heat-removal yield can ameliorate the ultimate heat usage and delay or even avoid the occurrence of system failures, thus leading to remarkable economic, environmental and energy efficiency outcomes. A century of research on ameliorating critical heat flux (CHF) has focused on altering the boiling surface characteristics, such as its nucleation site density, wettability, wickability and heat transfer area, by many innovative techniques. Due to the remarkable interest of using nanoparticle deposition on boiling surfaces, this review is targeted towards investigating whether or not metal oxide nanoparticles can modify surface characteristics to enhance the CHF. The influence of nanoparticle material, thermo-physical properties, concentration, shape, and size are categorized, and the inconsistency or contradictions of the existing research results are recognized. In the following, nanoparticle deposition methods are presented to provide a worthwhile alternative to deposition rather than nanofluid boiling. Furthermore, possible mechanisms and models are identified to explain the amelioration results. Finally, the present status of nanoparticle deposition for CHF amelioration, along with their future challenges, amelioration potentials, limitations, and their possible industrial implementation, is discussed.

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“…Rahbari et al (2017) presented the effect of nanoparticles on blood flow through arterial vessels. Sedimentary steady analysis of spherical particle was studied using analytical methods by (Fakour et al , 2018a). Unsteady thin-film flow of stretching elastic sheet was investigated by (Fakour et al , 2018b).…”

Section: Introductionmentioning

confidence: 99%

Investigation of biokinetic effects on hybrid multienzyme biosensor system

Akinshilo

Sobamowo

Olaye

et al. 2020

MMMS

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PurposeIn this paper, hybrid multienzyme biosensor system, which detects analyte through molecular conversion into signal response, is analyzed and presented. The biokinetic effects of pertinent parameters such as Michaelis–Menten constant, inhibitor inhibition and substrate inhibition modulus on biochemical reactions are investigated.Design/methodology/approachBiochemical reaction models are described by five nonlinear equations for bisubstrate amperometric system analyzed adopting the regular perturbation method.FindingsResults obtained reveal that increasing Michaelis–Menten constant of oxygen causes a significant decrease in hydrogen peroxide concentration while increasing Michaelis–Menten constant of glucose shows increasing effect on oxygen concentration. Hence, results obtained from this work serve as reference for further analysis of concentration models and offer useful insight to relevant applications such as food safety, environmental and biomedical applications.Practical implicationsThis work serves as reference for further analysis of concentration models and offers useful insight to relevant applications such as food safety, environmental and biomedical applications.Originality/valueThis paper examines the effect of biokinetic parameters on the concentration of the hybrid multienzyme biosensor. Here the effects of parameters such as inhibitor inhibition, substrate inhibition and Michealis–Menten were investigated on substrate, inhibition and product concentrations. It is illustrated from result that inhibitor parameter slows enzymatic catalytic reaction while substrate enhances reaction. This study applied approximate analytical scheme to investigate the biokinetic effects, adopting the regular perturbation scheme.

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Analytical study of unsteady sedimentation analysis of spherical particle in Newtonian fluid media

Cited by 8 publications

References 36 publications

Mathematical modeling of the sedimentation process for determining the fractional composition of suspensions

Mathematical modeling of the sedimentation process for determining the fractional composition of suspensions

Recent Advances in the Critical Heat Flux Amelioration of Pool Boiling Surfaces Using Metal Oxide Nanoparticle Deposition

Investigation of biokinetic effects on hybrid multienzyme biosensor system

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