Regularities of unsteady radiative–conductive heat transfer in evaporating semitransparent liquid droplets

Miliauskas, Gintautas

doi:10.1016/s0017-9310(00)00127-7

Cited by 59 publications

(81 citation statements)

References 21 publications

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“…The radiation flux absorption in the droplet and the observed optical effects of light beam reflection and refraction, when crossing the contact surface of water and flue gases, are defined by a complex spectral index of refractionn ω = n ω -ik ω , where n ω and k ω components are finite sizes [3], therefore q c -@ q c + = q r . The radiation flux is calculated according to the spectral radiation model in the droplet [4]. The droplet unsteady temperature field gradient is defined for combined heat spread by conduction and radiation case [4], while the forced water circulation influence is evaluated by an effective heat conductivity parameter in a slipping droplet [5].…”

Section: The Methodology Of Droplets Phase Transformations Numerical mentioning

confidence: 99%

“…The radiation flux is calculated according to the spectral radiation model in the droplet [4]. The droplet unsteady temperature field gradient is defined for combined heat spread by conduction and radiation case [4], while the forced water circulation influence is evaluated by an effective heat conductivity parameter in a slipping droplet [5]. Water phase transformation heat and vapour flux on the droplet surface defines the phase transformation heat flux.…”

Section: The Methodology Of Droplets Phase Transformations Numerical mentioning

confidence: 99%

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The combined heat and mass transit processes of water droplets in biofuel technologies

Ramanauskas¹,

Maziukienė²,

Miliauskas³

2017

energetika

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The number of thermal technologies is based on water droplets heat and mass transfer processes. In this paper droplets heat transfer and phase transformations were modelled in the context of water spraying in humid flue gases application for biofuel combustion technologies. Droplets warming is defined when its surface instantaneous temperature is calculated according to an iterative numerical scheme, which is based on heat fluxes balance that flows in and from the droplet surface. The transfer processes interaction is taken into account. The influence of spraying water temperature, biofuel flue gases temperature and its humidity as well as droplets heating process impact on spraying water droplets transit phase transformation regimes were highlighted. Technological cases of water spraying in a biofuel furnace and heat recovery from removed flue gases were highlighted. In condensing economizers at recovered flue gases sprayed droplets heat transfer conditions are defined by their slipping factor in flue gases, while in the case of biofuel combustion in the furnace, droplets slipping and its surrounding radiation factors are equivalent.

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Section: The Methodology Of Droplets Phase Transformations Numerical mentioning

confidence: 99%

Section: The Methodology Of Droplets Phase Transformations Numerical mentioning

confidence: 99%

The combined heat and mass transit processes of water droplets in biofuel technologies

Ramanauskas¹,

Maziukienė²,

Miliauskas³

2017

energetika

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“…These droplets heat transfer models to define the effective conductivity model [4], which additionally take into account the fluidflow finite intensity of thermal impact on the spread of the droplets. Translucent droplets radiation absorbed by the flow describing the spectral radiation models [5][6][7][8][9] enables the evaluation of the combination of heat spreading droplets. Recently developed combined analytical and numerical models of droplet nonstationary evaporation [5,10].…”

Section: Introductionmentioning

confidence: 99%

“…Translucent droplets radiation absorbed by the flow describing the spectral radiation models [5][6][7][8][9] enables the evaluation of the combination of heat spreading droplets. Recently developed combined analytical and numerical models of droplet nonstationary evaporation [5,10]. Then the temperature field of droplets of a multiple their heating case describing integral equation the endless lines.…”

Section: Introductionmentioning

confidence: 99%

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Peculiarities of hydrodynamics in the evaporation of hydrocarbon droplets

Miliauskas¹,

Sinkunas²,

Talubinskas³

et al. 2010

WIT Transactions on Engineering Sciences

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Combustion of liquid fuel generally is going on in the sprayed form. The combustion effectiveness is influenced by the evaporation rate of droplets, which determine heat and mass transfer intensity between droplets and the gas and peculiarities of combined heat spread in warming semitransparent droplets. Modeling of complex heat transfer raises the assessment problem of the potential liquid instability within droplets. Free liquid circulation in warming liquid droplets can occur under the influence of Archimedes forces and forced circulation inside them can be forced by sliding gas friction forces acting on the droplet surface. Under the influence of these forces, droplets liquid starts to flow on its surface and emerged vortices pass into the interior layers of the droplets. Hydrodynamic regime of the liquid droplets determines the solution methodology of the inner "droplet" problem. A combined analytical and numerical method of investigation is applied. A system of parabolic type second order integral-differential equations describing complex heat transfer in the droplet by conduction and radiation is transformed into an infinite series of integral equations. Securing balance of energy fluxes in the droplet with confidence of one hundredth of percent and using the fastest sinking the droplet surface temperature is selected. The change of thermal state and phase transformation intensity of warming hydrocarbons droplets heated in air is modeled under different boundary conditions of heat and mass transfer. The influence of forced liquid circulation on the droplet thermal state evaluated using effective heat conduction coefficient. Free liquid circulation in the droplets is evaluated by Rayleigh number.

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Heating of Non-evaporating Droplets

Sazhin

2014

Droplets and Sprays

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Regularities of unsteady radiative–conductive heat transfer in evaporating semitransparent liquid droplets

Cited by 59 publications

References 21 publications

The combined heat and mass transit processes of water droplets in biofuel technologies

The combined heat and mass transit processes of water droplets in biofuel technologies

Peculiarities of hydrodynamics in the evaporation of hydrocarbon droplets

Heating of Non-evaporating Droplets

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