Charts based on millions of fluid dynamics simulations provide a simple tool to estimate how far from its source a specific blood stain can be found.

The bloodstain pattern analyst sometimes has to judge if a given stain could originate from a specific location. A wide range of values of the maximum distance that a blood drop can travel have been reported from experiments, ranging from less than one meter to more than 10 m. Here we formulate the problem in a fluid dynamics and data mining framework. The fluid dynamics is solved with Newton's classical equation of motion coupled with well-established models for the gravity and drag forces that bend the trajectories of drops. The parameters screened are the drop size, initial velocity and launch angle, as well as the height of a blood source and the ceiling height. Combining a wide range of values of those five parameters commended the performance of more than 5 million fluid dynamic simulations. Results of these simulations have been searched and mined for parameters directly measurable on a crime scene, such as the stain size and stain ellipticity. The results are presented in simple, easy to use charts, which do not require any knowledge of fluid dynamics from the analyst.

[1]  Paul Berthier,et al.  On the security of aeronautical datalink communications: Problems and solutions , 2018, 2018 Integrated Communications, Navigation, Surveillance Conference (ICNS).

[2]  Daniel Attinger,et al.  Theoretical and experimental investigation of forward spatter of blood from a gunshot , 2018, Physical Review Fluids.

[3]  B. Karger,et al.  Backspatter from experimental close-range shots to the head , 2005, International Journal of Legal Medicine.

[4]  M. Jermy,et al.  Experimental validation of a numerical model for predicting the trajectory of blood drops in typical crime scene conditions, including droplet deformation and breakup, with a study of the effect of indoor air currents and wind on typical spatter drop trajectories. , 2014, Forensic science international.

[5]  B. Brinkmann,et al.  Backspatter from experimental close-range shots to the head , 2006, International Journal of Legal Medicine.

[6]  Burkhard Madea,et al.  How far does it get?--The effect of shooting distance and type of firearm on the simultaneous analysis of DNA and RNA from backspatter recovered from inside and outside surfaces of firearms. , 2016, Forensic science international.

[7]  A. Reinhart Das Verhalten fallender Tropfen , 1964 .

[8]  M. Lockard The fluid dynamics of droplet impacts on inclined surfaces with application to forensic blood-spatter analysis , 2015 .

[9]  Peter R. De Forest,et al.  Forensic Science: An Introduction to Criminalistics , 1983 .

[10]  Terry L. Laber,et al.  HIGH SPEED DIGITAL VIDEO ANALYSIS OF BLOODSTAIN PATTERN FORMATION FROM COMMON BLOODLETTING MECHANISMS , 2008 .

[11]  Daniel Attinger,et al.  A data set of bloodstain patterns for teaching and research in bloodstain pattern analysis: Gunshot backspatters , 2019, Data in brief.

[12]  A. Yarin,et al.  High-speed video analysis of forward and backward spattered blood droplets. , 2017, Forensic science international.

[13]  Daniel Attinger,et al.  A data set of bloodstain patterns for teaching and research in bloodstain pattern analysis: Impact beating spatters , 2018, Data in brief.

[14]  Sanjeev Chandra,et al.  Deducing drop size and impact velocity from circular bloodstains. , 2005, Journal of forensic sciences.

[15]  Daniel Attinger,et al.  Fluid dynamics topics in bloodstain pattern analysis: comparative review and research opportunities. , 2013, Forensic science international.

[16]  Tom Bevel,et al.  Cranial Backspatter Pattern Production Utilizing Human Cadavers , 2018, Journal of forensic sciences.

[17]  C. Vaughan,et al.  Observations of high velocity bloodspatter on adjacent objects. , 1987, Journal of forensic sciences.

[18]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[19]  Kris De Brabanter,et al.  Determining the region of origin of blood spatter patterns considering fluid dynamics and statistical uncertainties. , 2019, Forensic science international.

[20]  G. Faeth,et al.  Structure and breakup properties of sprays , 1995 .

[21]  D. Bousfield,et al.  Newtonian drop impact with a solid surface , 1995 .

[22]  Sungu Kim,et al.  Prediction of blood back spatter from a gunshot in bloodstain pattern analysis , 2016 .

[23]  Boyd G. Stephens,et al.  Back Spatter of Blood from Gunshot Wounds—Observations and Experimental Simulation , 1983 .

[24]  Daniel Attinger,et al.  Bloodstains on woven fabric: Simulations and experiments for quantifying the uncertainty on the impact and directional angles. , 2017, Forensic science international.

[25]  M. Vargas,et al.  Drag Coefficient of Water Droplets Approaching the Leading Edge of an Airfoil , 2013 .

[26]  Daniel Attinger,et al.  Hydrodynamics of back spatter by blunt bullet gunshot with a link to bloodstain pattern analysis , 2017 .

[27]  Ross Gardner,et al.  Bloodstain Pattern Analysis: With an Introduction to Crime Scene Reconstruction, Second Edition , 1997 .

[28]  B. Pourdeyhimi,et al.  Impact of aqueous suspension drops onto non-wettable porous membranes: Hydrodynamic focusing and penetration of nanoparticles , 2015 .

[29]  Stuart H. James,et al.  Principles of Bloodstain Pattern Analysis: Theory and Practice , 2005 .

[30]  T. Theofanous Aerobreakup of Newtonian and Viscoelastic Liquids , 2011 .

[31]  C. Adam Fundamental studies of bloodstain formation and characteristics. , 2012, Forensic science international.

[32]  Gerald Recktenwald,et al.  Numerical Methods with MATLAB : Implementations and Applications , 2000 .

[33]  Michael C Taylor,et al.  An image-processing methodology for extracting bloodstain pattern features. , 2017, Forensic science international.

[34]  Talukder Z. Jubery,et al.  Blood rheology in shear and uniaxial elongation , 2016, Rheologica Acta.

[35]  Eric Loth,et al.  Quasi-steady shape and drag of deformable bubbles and drops , 2008 .

[36]  K. Ballantyne,et al.  Determination of the maximum distance blood spatter travels from a vertical impact. , 2018, Forensic science international.

[37]  Gerard M. Faeth,et al.  Near-limit drop deformation and secondary breakup , 1992 .

[38]  Debra J. Carr,et al.  Storage life of whole porcine blood used for bloodstain pattern analysis , 2016 .

[39]  Frederic Tulleners,et al.  Quantitative Differentiation of Bloodstain Patterns Resulting from Gunshot and Blunt Force Impacts , 2017, Journal of forensic sciences.

[40]  Francesco Camana,et al.  Determining the area of convergence in bloodstain pattern analysis: a probabilistic approach. , 2012, Forensic science international.

[41]  Mark Jermy,et al.  Bloodstain Pattern Analysis: implementation of a fluid dynamic model for position determination of victims , 2015, Scientific Reports.

[42]  Sungu Kim,et al.  How important is it to consider target properties and hematocrit in bloodstain pattern analysis? , 2016, Forensic science international.