Prediction of Size and Velocity Distributions in Sprays Formed by the Breakup of Planar Liquid Sheets Using Maximum Entropy Formalism

Nath, Sujit; Datta, Amitava; Mukhopadhyay, Achintya; Sen, Swarnendu; Tharakan, T. John

doi:10.1615/atomizspr.2011003709

Cited by 11 publications

(11 citation statements)

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“…Droplet size and velocity distributions are typically described using one of the following four methods: empirical, maximum entropy formalism (MEF), discrete probability function method, or stochastic method [2][3][4][5][6][7][8][9]. Of the four available methods, former studies indicate that the MEF shows good prediction ability [10][11][12][13][14][15]. Due to its powerful prediction ability, the MEF has been used in many researches to study the size and velocity distribution characteristics in all kinds of spray systems [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Study on Droplet Size and Velocity Distributions of a Pressure Swirl Atomizer Based on the Maximum Entropy Formalism

Yan

Ning

Lü

et al. 2015

Entropy

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A predictive model for droplet size and velocity distributions of a pressure swirl atomizer has been proposed based on the maximum entropy formalism (MEF). The constraint conditions of the MEF model include the conservation laws of mass, momentum, and energy. The effects of liquid swirling strength, Weber number, gas-to-liquid axial velocity ratio and gas-to-liquid density ratio on the droplet size and velocity distributions of a pressure swirl atomizer are investigated. Results show that model based on maximum entropy formalism works well to predict droplet size and velocity distributions under different spray conditions. Liquid swirling strength, Weber number, gas-to-liquid axial velocity ratio and gas-to-liquid density ratio have different effects on droplet size and velocity distributions of a pressure swirl atomizer.

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Section: Introductionmentioning

confidence: 99%

“…Of the four available methods, former studies indicate that the MEF shows good prediction ability [10][11][12][13][14][15]. Due to its powerful prediction ability, the MEF has been used in many researches to study the size and velocity distribution characteristics in all kinds of spray systems [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Study on Droplet Size and Velocity Distributions of a Pressure Swirl Atomizer Based on the Maximum Entropy Formalism

Yan

Ning

Lü

et al. 2015

Entropy

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“…The MEF is an elegant way to fill the information that is unknown. Several researchers have employed this approach to derive the complete droplet size distribution and compared with experiments [76]. The main disadvantage of this method is that it is highly sensitive to the constraints posed and does not limit to physically consistent distributions as the constraints are relaxed [10].…”

Section: Quadrature Based Methods Of Moments (Qbmm)mentioning

confidence: 99%

Trends in Multiphase Modeling and Simulation of Sprays

Kolakaluri

Subramaniam

Panchagnula

2014

International Journal of Spray and Combustion Dynamics

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The characteristic features of sprays pose unique challenges to multiphase flow methods that are used to model and simulate their behavior. This article reviews the principal modeling challenges posed by sprays, and discusses the capabilities of different modeling approaches by classifying them according to the basis for their statistical representation and the level of closure. The article goes on to provide guidelines for their comparative assessment and also a perspective on the outlook for spray modeling. Multiphase flow simulation approaches that are used for spray computations are classified according to scale, accuracy, computational cost and problem complexity. The requirements of a simulation method to be successfully used for spray computation are then discussed. The review concludes with a perspective on the outlook for spray simulation methods.

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“…Nath et al [9] proposed a completely non-empirical model for the prediction of droplet size and velocity distributions in a spray generated from the break up of a planar liquid sheet. According to Sirignano and Mehring [239], a planar liquid sheet disintegrates through a combination of rim, wave and perforated sheet disintegrations.…”

Section: Coupling Mep Based Model In a Comprehensive Atomization Modelmentioning

confidence: 99%

“…However, comprehensive models incorporating some of the above sub-models have been reported. Liao et al [4] and Ibrahim and Jog [5] incorporated the first two modules in their analysis of pressure-swirl atomizers while Kim et al [6], Movahednejad et al [7] and Nath et al [8,9] combined the last two modules in their analyses. Liao et al [4] and Movahednejad et al [7] used linear analysis in their break up model while nonlinear break up models were used in [5,6,8,9].…”

Section: Introductionmentioning

confidence: 99%

Trends in Comprehensive Modeling of Spray Formation

Tharakan

Mukhopadhyay

Datta

et al. 2013

International Journal of Spray and Combustion Dynamics

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Comprehensive modeling of spray formation in liquid fuel injectors involves modeling of (i) internal hydrodynamics of fuel injector (ii) break up of liquid sheet leading to primary and secondary atomization and (iii) prediction of size and velocity distributions of droplets in the spray. Comprehensive models addressing all the three aspects are rare though some work has been reported that incorporate two of the three aspects. However, significant volume of literature exists on the individual modules. In the present work, progress and current trends in the individual modules have been extensively reviewed and their implications on development of comprehensive models have been discussed. The unresolved issues and future research directions are also indicated.

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Prediction of Size and Velocity Distributions in Sprays Formed by the Breakup of Planar Liquid Sheets Using Maximum Entropy Formalism

Cited by 11 publications

References 0 publications

Study on Droplet Size and Velocity Distributions of a Pressure Swirl Atomizer Based on the Maximum Entropy Formalism

Study on Droplet Size and Velocity Distributions of a Pressure Swirl Atomizer Based on the Maximum Entropy Formalism

Trends in Multiphase Modeling and Simulation of Sprays

Trends in Comprehensive Modeling of Spray Formation

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