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Prediction of blood back spatter from a gunshot in bloodstain pattern analysis
Phys. Rev. Fluids 1, 043201 – Published 2 August, 2016
DOI: https://doi.org/10.1103/PhysRevFluids.1.043201
Abstract
A theoretical model for predicting and interpreting blood-spatter patterns resulting from a gunshot wound is proposed. The physical process generating a backward spatter of blood is linked to the Rayleigh-Taylor instability of blood accelerated toward the surrounding air, allowing the determination of the initial distribution of drop sizes and velocities. Then the motion of many drops in air is considered with governing equations accounting for gravity and air drag. Based on these equations, a numerical solution is obtained. It predicts the atomization process, the trajectories of the back-spatter drops of blood from the wound to the ground, the impact angle, and the impact Weber number on the ground, as well as the distribution and location of bloodstains and their shape and sizes. A parametric study is undertaken to predict patterns of backward blood spatter under realistic conditions corresponding to the experiments conducted in the present work. The results of the model are compared to the experimental data on back spatter generated by a gunshot impacting a blood-impregnated sponge.
Physics Subject Headings (PhySH)
Synopsis
Recreating the Scene of a Crime
A new theory accurately predicts the speed, sizes, and trajectories of blood drops resulting from gunshot wounds.
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References (44)
- S. Weidman, Strengthening forensic science in the United States: A path forward, Committee on Identifying the Needs of the Forensic Sciences Community, National Research Council, 2009, http://www.nap.edu/catalog/12589.html.
- Blood-spatter analyst supports Spector defense claim, USA Today, 7/23/2007; www.usatoday30.usatoday.com/life/people/2007-07-23-phil-spector_N.htm.
- D. Attinger, C. Moore, A. Donaldson, A. Jafari, and H. A. Stone, Fluid dynamics topics in bloodstain pattern analysis: Comparative review and research opportunities, Forensic Sci. Int. 231, 375 (2013).
- V. Balthazard, R. Piedelievre, H. Desoille, and L. Derobert, XXIIe Congress de Medicine Legale de Langue Francaise, 1939; also in Ann. Med. Leg. Criminol. Police Sci. Toxicol. 19, 265 (1939).
- P. L. Kirk, Affidavit Regarding State of Ohio vs Samuel H. Sheppard, Court of Common Pleas, Criminal Branch, No. 64571, 26 April 1955.
- M. B. Illes, A. L. Carter, P. L. Laturnus, and A. B. Yamashita, Use of the BackTrack™ computer program for bloodstain pattern analysis of stains from downward-moving drops, J. Can. Soc. Forensic Sci. 38, 213 (2005).
- A. L. Carter, The directional analysis of bloodstain patterns: Theory and experimental validation, J. Can. Soc. Forensic Sci. 34, 173 (2001).
- R. Kanable, BackTrack going forward, Law Enforcement Technol., August, 40 (2006).
- A. L. Carter, J. Forsythe-Erman, V. Hawkes, and A. B. Yamashita, Validation of the BackTrack™ suite of programs for bloodstain pattern analysis, J. Forensic Identification 56, 242 (2006).
- A. L. Carter, M. Illes, K. Maloney, A. B. Yamashita, B. Allen, B. Brown, L. Davidson, G. Ellis, J. Gallant, A. Gradkowski, J. Hignell, S. Jory, P. L. Laturnus, C. C. Moore, R. Pembroke, A. Richard, R. Spenard, and C. Stewart, Further validation of the BackTrack™ computer program for bloodstain pattern analysis: Precision and accuracy, Int. Assoc. Bloodstain Pattern Analysts News 21, 15 (2005).
- W. F. Rowe, Errors in the determination of the point of origin of bloodstains, Forensic Sci. Int. 161, 47 (2006).
- K. G. de Bruin, R. D. Stoel, and J. C. M. Limborgh, Improving the point of origin determination in bloodstain pattern analysis, J. Forensic Sci. 56, 1476 (2011).
- N. Behrooz, Bloodstain pattern analysis for determination of point of origin, B.S. thesis, University of Toronto, 2009.
- B. T. Cecchetto, Nonlinear blood pattern reconstruction, MS thesis, The University of British Columbia, 2010.
- C. R. Varney and F. Gittes, Locating the source of projectile fluid droplets, Am. J. Phys. 79, 838 (2011).
- D. Attinger, C. Moore, A. Donaldson, and H. A. Stone, Fluid dynamics aspects of bloodstain pattern analysis: Comparative review and research opportunities, IABPA (International Association of Bloodstain Pattern Analysts) Training Conference, San Diego, 2013 (unpublished).
- N. Laan, K. G. de Bruin, D. Slenter, J. Wilhelm, M. Jermy, and D. Bonn, Bloodstain pattern analysis: Implementation of a fluid dynamic model for position determination of victims, Sci. Rep. 5, 11461 (2015).
- D. Poulikakos and J. Waldvogel, Heat transfer and fluid dynamics in the process of spray deposition, Adv. Heat Transfer 28, 1 (1996).
- N. Behrooz, L. Hulse-Smith, and S. Chandra, An evaluation of the underlying mechanisms of bloodstain pattern analysis error, J. Forensic Sci. 56, 1136 (2011).
- D. Denison, A. Porter, M. Mills, and R. C. Schroter, Forensic implications of respiratory derived blood spatter distributions, Forensic Sci. Int. 204, 144 (2011).
- M. T. Murzabayev and A. L. Yarin, Dynamics of sprinkler jets, Fluid Dyn. 20, 715 (1985).
- I. V. Roisman, L. Araneo, and C. Tropea, Effect of ambient pressure on penetration of a diesel spray, Int. J. Multiphase Flow 33, 904 (2007).
- M. Brust, C. Schaefer, R. Doerr, L. Pan, M. Garcia, P. Arratia, and C. Wagner, Rheology of Human Blood Plasma: Viscoelastic Versus Newtonian Behavior, Phys. Rev. Lett. 110, 078305 (2013).
- G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 2002).
- L. G. Loitsyanskii, Mechanics of Liquids and Gases (Pergamon, Oxford, 1966).
- H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1959).
- G. V. Logvinovich, Hydrodynamics of Flows with Free Boundaries (Naukova Dumka, Kiev, 1969) (in Russian).
- A. Y. Sagomonyan, Penetration (Moscow University Publishing House, Moscow, 1974) (in Russian).
- H. Wagner, Über stoß‐ und gleitvorgänge an der oberfläche von flüssigkeiten, Z. Angew. Math. Mech. 12, 193 (1932).
- S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1981).
- R. Nigmatullin, Dynamics of Multiphase Systems (Hemisphere, New York,1990), Vol. 1.
- E. J. Lavernia, E. M. Gutirrez, J. Szekely, and N. J. Grant, A mathematical model for the liquid dynamic compaction process. Part 1: Heat flow in gas atomization, Int. J. Rapid Solid. 4, 89 (1988).
- A. L. Yarin, Self-similarity, in Springer Handbook of Experimental Fluid Mechanics, edited by C. Tropea, A. L. Yarin, and J. F. Foss (Springer, Heidelberg, 2007), pp. 57–82.
- P. B. S. Lissaman and C. A. Shollenberger, Formation flight of birds, Science 168, 1003 (1970).
- B. L. Scheller and D. W. Bousfield, Newtonian drop impact with a solid surface, AIChE J. 41, 1357 (1995).
- A. L. Yarin, Drop impact dynamics: Splashing, spreading, receding, bouncing, Annu. Rev. Fluid Mech. 38, 159 (2006).
- C. Antonini, A. Amirfazli, and M. Marengo, Drop impact and wettability: From hydrophilic to superhydrophobic surfaces, Phys. Fluids 24, 102104 (2012).
- C. D. Adam, Fundamental studies of bloodstain formation and characteristics, Forensic Sci. Int. 219, 76 (2012).
- M. C. Taylor, T. L. Laber, B. P. Epstein, D. S. Zamzow, and D. P. Baldwin, The effect of firearm muzzle gases on the backspatter of blood, Int. J. Legal Med. 125, 617 (2010).
- C. Rizer, Police Mathematics (Thomas, Springfield, 1955).
- R. P. Sahu, S. Sett, A. L. Yarin, and B. Pourdeyhimi, Impact of aqueous suspension drops onto non-wettable membranes: Hydrodynamic focusing and penetration of nanoparticles, Colloids Surf. A 467, 31 (2015).
- D. Brutin, B. Sobac, B. Loquet, and J. Sampol, Pattern formation in drying drops of blood, J. Fluid Mech. 667, 85 (2011).
- R. Chen, L. Zhang, S. Zang, and W. Shen, Blood drop patterns: Formation and applications, Adv. Colloid Interface Sci. 231, 1 (2016).
- Ames Laboratory, Iowa State University, www.ameslab.gov/mfrc/bpa-videos.