Kabaliuk N, Jermy M C, Williams E, Laber T L, Taylor M C
Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8041, New Zealand.
Department of Mechanical Engineering, University of Canterbury, Private Bag 4800, Christchurch 8041, New Zealand.
Forensic Sci Int. 2014 Dec;245:107-20. doi: 10.1016/j.forsciint.2014.10.020. Epub 2014 Oct 18.
Bloodstain Pattern Analysis (BPA) provides information about events during an assault, e.g. location of participants, weapon type and number of blows. To extract the maximum information from spatter stains, the size, velocity and direction of the drop that produces each stain, and forces acting during flight, must be known. A numerical scheme for accurate modeling of blood drop flight, in typical crime scene conditions, including droplet oscillation, deformation and in-flight disintegration, was developed and validated against analytical and experimental data including passive blood drop oscillations, deformation at terminal velocity, cast-off and impact drop deformation and breakup features. 4th order Runge-Kutta timestepping was used with the Taylor Analogy Breakup (TAB) model and Pilch and Erdman's (1987) expression for breakup time. Experimental data for terminal velocities, oscillations, and deformation was obtained via digital high-speed imaging. A single model was found to describe drop behavior accurately in passive, cast off and impact scenarios. Terminal velocities of typical passive drops falling up to 8m, distances and times required to reach them were predicted within 5%. Initial oscillations of passive blood drops with diameters of 1mm<d<6mm falling up to 1.5m were studied. Predictions of oscillating passive drop aspect ratio were within 1.6% of experiment. Under typical crime scene conditions, the velocity of the drop within the first 1.5m of fall is affected little by drag, oscillation or deformation. Blood drops with diameter 0.4-4mm and velocity 1-15m/s cast-off from a rotating disk showed low deformation levels (Weber number<3). Drops formed by blunt impact 0.1-2mm in diameter at velocities of 14-25m/s were highly deformed (aspect ratios down to 0.4) and the larger impact blood drops (∼1-1.5mm in diameter) broke up at critical Weber numbers of 12-14. Most break-ups occurred within 10-20cm of the impact point. The model predicted deformation levels of cast-off and impact blood drops within 5% of experiment. Under typical crime scene conditions, few cast-off drops will break up in flight. However some impact-generated drops were seen to break up, some by the vibration, others by bag breakup. The validated model can be used to gain deep understanding of the processes leading to spatter stains, and can be used to answer questions about proposed scenarios, e.g. how far blood drops may travel, or how stain patterns are affected by winds and draughts.
血迹形态分析(BPA)可提供有关袭击过程中事件的信息,例如参与者的位置、武器类型和打击次数。为了从溅落血迹中提取最大量信息,必须知道产生每个血迹的血滴的大小、速度和方向,以及飞行过程中作用的力。针对典型犯罪现场条件下血滴飞行的精确建模,开发了一种数值方案,该方案包括液滴振荡、变形和飞行中的解体,并根据分析和实验数据进行了验证,这些数据包括被动血滴振荡、终端速度下的变形、抛甩和撞击血滴变形及破碎特征。采用四阶龙格 - 库塔时间步长法结合泰勒类比破碎(TAB)模型以及皮尔希和厄德曼(1987年)的破碎时间表达式。通过数字高速成像获得终端速度、振荡和变形的实验数据。发现一个单一模型能够准确描述被动、抛甩和撞击场景下的血滴行为。预测了下落高达8米的典型被动血滴的终端速度、到达该速度所需的距离和时间,误差在5%以内。研究了直径为1mm < d < 6mm、下落高达1.5米的被动血滴的初始振荡。被动振荡血滴纵横比的预测值与实验值的误差在1.6%以内。在典型犯罪现场条件下,血滴在下落的前1.5米内的速度受阻力、振荡或变形的影响很小。从旋转圆盘抛甩出去的直径为0.4 - 4mm、速度为1 - 15m/s的血滴显示出低变形水平(韦伯数<3)。直径为0.1 - 2mm、速度为14 - 25m/s的钝器撞击形成的血滴高度变形(纵横比低至0.4),较大的撞击血滴(直径约1 - 1.5mm)在临界韦伯数为12 - 14时破碎。大多数破碎发生在撞击点10 - 20厘米范围内。该模型预测的抛甩和撞击血滴变形水平与实验值的误差在5%以内。在典型犯罪现场条件下,很少有抛甩血滴会在飞行中破碎。然而,一些撞击产生的血滴被观察到会破碎,一些是由于振动,另一些是由于袋状破碎。经过验证的模型可用于深入了解导致溅落血迹的过程,并可用于回答有关所提出场景的问题,例如血滴可能传播多远,或者血迹形态如何受风及气流影响。