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Research Papers: Evaporation, Boiling, and Condensation

Temperature and Velocity of the Gas–Vapor Mixture in the Trace of Several Evaporating Water Droplets

[+] Author and Article Information
I. S. Voytkov

Heat Mass Transfer Simulation Laboratory,
National Research Tomsk Polytechnic University,
30, Lenin Avenue,
Tomsk 634050, Russia

R. S. Volkov

Heat Mass Transfer Simulation Laboratory,
National Research Tomsk Polytechnic University,
30, Lenin Avenue,
Tomsk 634050, Russia

P. A. Strizhak

Heat Mass Transfer Simulation Laboratory,
National Research Tomsk Polytechnic University,
30, Lenin Avenue,
Tomsk 634050, Russia
e-mail: pavelspa@tpu.ru

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 16, 2018; final manuscript received September 20, 2018; published online November 5, 2018. Assoc. Editor: Amitabh Narain.

J. Heat Transfer 141(1), 011502 (Nov 05, 2018) (12 pages) Paper No: HT-18-1396; doi: 10.1115/1.4041556 History: Received June 16, 2018; Revised September 20, 2018

The optical techniques (particle image velocimetry (PIV), laser-induced phosphorescence (LIP), planar laser-induced fluorescence (PLIF)) are used to study unsteady and inhomogeneous temperature and velocity fields of a gas–vapor mixture forming in the immediate vicinity of rapidly evaporating water droplets. Experiments involve various arrangements of several (two, three, and five) water droplets in a heated air flow. We establish the dependencies of the temperature and velocity of a gas–vapor mixture in the trace of each droplet on the heating time, velocity and temperature of the air flow, initial dimensions, and droplet arrangement scheme. Distinctive features of the synergistic effect of a droplet group on their temperature and aerodynamic traces are identified. Longitudinal and transversal dimensions of the aerodynamic and thermal traces of evaporating droplets are established. The length of the temperature trace of one droplet equals 10–12 of its radii, and the width of the temperature and aerodynamic trace of a droplet is no larger than its diameter.

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Figures

Grahic Jump Location
Fig. 1

Scheme of the experimental setup and calibration curves for PLIF and LIP (the experimentally obtained correlations between the luminous intensity of the water solution of fluorophore and phosphorus particles with growing temperature)

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Fig. 2

Scheme of water droplet arrangement in the heated air flow

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Fig. 3

Unsteady and highly inhomogeneous velocity fields of gas flow around one, two, three, and five droplets with Rd ≈ 1.81 mm, Ua ≈ 4.7 m/s, and Ta ≈ 300 °C

Grahic Jump Location
Fig. 4

Unsteady and highly inhomogeneous temperature fields of gas flow around one, two, three, and five droplets with Rd ≈ 1.81 mm, Ua ≈ 4.7 m/s, and Ta ≈ 300 °C

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Fig. 5

Change of temperature variation (a) in the trace of two consecutive water droplets at a distance b = 10 mm from each other (at the symmetry axis of the group) in time (with Rd ≈ 1.53 mm, Ua ≈ 4.7 m/s, and Ta ≈ 300 °C) for three offsets from the last droplet (y = 5;10;15 mm); thermal trace length versus flow temperature at different points of time (b); change of temperature variation along the symmetry axis of the droplet trace (c). The figure also presents thermocouple measurements to compare [16].

Grahic Jump Location
Fig. 6

Change of temperature variation (a) in the trace of three consecutive water droplets at a distance b = 5 mm from each other (at the symmetry axis of the group) in time (with Rd ≈ 1.53 mm, Ua ≈ 4.7 m/s, and Ta ≈ 300 °C) for three offsets from the last droplet (y = 5;10;15 mm); dependencies of thermal trace length at different points of time (b); change profile of temperature variation along the symmetry axis of the droplet trace (c)

Grahic Jump Location
Fig. 7

Change of temperature variation (a) in the trace of five water droplets at a distance of a = 5 mm and b = 5 mm from each other (at the symmetry axis of the group) in time (with Rd ≈ 1.53 mm, Ua ≈ 4.7 m/s, and Ta ≈ 300 °C) for three offsets from the last droplet (y = 5;10;15 mm); dependencies of thermal trace length at different points of time (b); change profile of temperature variation along the symmetry axis of the droplet trace (c)

Grahic Jump Location
Fig. 8

Change of temperature variation in the trace of groups of water droplets (at the symmetry axis of a group) in time (with Rd ≈ 1.53 mm, Ua ≈ 4.7 m/s, and Ta ≈ 300 °C) for two points at different offsets from the droplet group (the distances between droplets were a = 5 mm, b = 5 mm): a − y ≈ 5 mm; b − y ≈ 10 mm

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Fig. 9

Length of temperature trace of water droplet groups (at the symmetry axis of a group) versus air flow temperature (with Rd ≈ 1.53 mm, Ua ≈ 4.7 m/s) at t = 3 s after the droplet group introduction into the flow (the distances between droplets were a = 5 mm, b = 5 mm)

Grahic Jump Location
Fig. 10

Change of temperature variation in the trace of water droplet groups (at the symmetry axis of a group) when the distance relative to the group of droplet in their trace is increased (with Rd ≈ 1.53 mm, Ua ≈ 4.7 m/s, and Ta ≈ 300 °C), at t = 3 s after the droplet group introduction into the flow (the distances between droplets were a = 5 mm, b = 5 mm): the figure also presents thermocouple measurements to compare [15]

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Fig. 11

Longitudinal dimensions of thermal and aerodynamic traces versus initial water droplet size at t≈ 5 s (with Ua ≈ 5 m/s and Ta ≈ 300 °C) for four different droplet arrangement schemes (the distance between droplets was a = 5 mm, b = 5 mm)

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