Techniques for High-Speed Measurement of Accelerating Flame

James B Shaffer, Omid Askari
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Abstract

Measurement of time resolved velocities with large accelerations is challenging because the optimal capture rate and pixel resolution changes with velocity. It is known for velocity measurements that high temporal resolution and low pixel resolution increases the velocity uncertainty. This makes selecting acceptable camera settings unintuitive and can result in highly uncertain measurements. For experimental conditions with slow velocities (< 10 m/s) where high temporal resolution is required (because of rapid acceleration) there arises a need for exponentially increasing pixel resolution to minimize experimental uncertainty which is often impossible to achieve experimentally. Desired measurements for early flame propagation have velocities which span a wide range of velocity which can be greater than 10 m/s during ignition and can drop to under 1 m/s depending on the pressure. This rapid velocity change all usually occurs within a millisecond timeframe. Typical camera-based velocity measurement usually observes either fast- or slow-moving objects with either an average velocity or a velocity at a single time. The goal of this work is to accurately measure such a rapidly changing experimental condition using camera-based measurement and understand the affect various processing methods have on the result. A practical method is presented here to quantify the noise and observe any induced errors from improper processing where measurable physical analogs are used to represent future experimental conditions. These experimental analogs are in the form of rotating disks which have known radial and velocity profiles that will enable the assessment of experimental parameters and postprocessing techniques. Parameters considered include pixel resolution, framerate, and smoothing techniques such as moving average, Whittaker, and Savitzky-Golay filters.
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加速火焰的高速测量技术
测量具有大加速度的时间分辨速度是具有挑战性的,因为最佳捕获率和像素分辨率随速度而变化。众所周知,在速度测量中,高时间分辨率和低像素分辨率会增加速度的不确定性。这使得选择可接受的相机设置不直观,并可能导致高度不确定的测量。对于速度较慢(< 10米/秒)的实验条件,需要高时间分辨率(由于快速加速),因此需要指数级增加像素分辨率以最小化实验不确定性,这通常是不可能实现的。所需的早期火焰传播测量的速度跨越一个很宽的速度范围,在点火过程中可以大于10m /s,根据压力可以降至1m /s以下。这种快速的速度变化通常发生在一毫秒的时间范围内。典型的基于相机的速度测量通常以平均速度或单个时间的速度观察快速或缓慢移动的物体。这项工作的目标是使用基于相机的测量来准确测量这种快速变化的实验条件,并了解各种处理方法对结果的影响。这里提出了一种实用的方法来量化噪声,并观察任何由不当处理引起的误差,其中使用可测量的物理类似物来表示未来的实验条件。这些实验类似物以旋转盘的形式存在,旋转盘具有已知的径向和速度分布,这将使实验参数和后处理技术的评估成为可能。考虑的参数包括像素分辨率、帧率和平滑技术,如移动平均、Whittaker和Savitzky-Golay滤波器。
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