Abstract

We report studies of the coalescence of pairs of picolitre aerosol droplets manipulated with holographic optical tweezers, probing the shape relaxation dynamics following coalescence by simultaneously monitoring the intensity of elastic backscattered light (EBL) from the trapping laser beam (time resolution on the order of 100 ns) while recording high frame rate camera images (time resolution <10 μs). The goals of this work are to: resolve the dynamics of droplet coalescence in holographic optical traps; assign the origin of key features in the time-dependent EBL intensity; and validate the use of the EBL alone to precisely determine droplet surface tension and viscosity. For low viscosity droplets, two sequential processes are evident: binary coalescence first results from the overlap of the optical traps on the time scale of microseconds followed by the recapture of the composite droplet in an optical trap on the time scale of milliseconds. As droplet viscosity increases, the relaxation in droplet shape eventually occurs on the same time scale as recapture, resulting in a convoluted evolution of the EBL intensity that inhibits quantitative determination of the relaxation time scale. Droplet coalescence was simulated using a computational framework to validate both experimental approaches. The results indicate that time-dependent monitoring of droplet shape from the EBL intensity allows for robust determination of properties such as surface tension and viscosity. Finally, the potential of high frame rate imaging to examine the coalescence of dissimilar viscosity droplets is discussed.

Highlights

  • There are a number of methods available to study the binary coalescence of droplets

  • We report studies of the coalescence of pairs of picolitre aerosol droplets manipulated with holographic optical tweezers, probing the shape relaxation dynamics following coalescence by simultaneously monitoring the intensity of elastic backscattered light (EBL) from the trapping laser beam while recording high frame rate camera images

  • The results indicate that time-dependent monitoring of droplet shape from the EBL intensity allows for robust determination of properties such as surface tension and viscosity

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Summary

Introduction

There are a number of methods available to study the binary coalescence of droplets. The most common method is to use brightfield microscopy coupled with a camera to capture images during the coalescence. Fezzaa and Wang demonstrated the use of ultrafast X-ray phase contrast to study the dynamics of two coalescing droplets in air with images exposed for 472 ns and acquired in 3.6 μs intervals.21 This method requires a high-speed camera as well as X-rays from a synchrotron. In order to study the coalescence event, the intensity of elastic backscattered light (EBL) from the optical tweezers was recorded on a fast photodiode connected to an oscilloscope, permitting indirect determination of changes in droplet shape and position with a time resolution of order 100 ns. The goals of this work are to examine the coalescence of airborne picolitre-volume droplets across a range of viscosities and to correlate the EBL with video images recorded by a high frame rate camera.

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