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Lagrangian Trajectory Simulation of Rotating Regular Shaped Ice Particles
Technical Paper
2015-01-2141
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
This paper focuses on the numerical simulation of the motion of regular shaped ice particles under the forces and torques generated by aerodynamic loading. Ice particles can occur during landing and take-off of aircraft at ground level up to the stratosphere at cruising altitude. It may be expected that the particle Reynolds number is high because the flow around the aircraft is in certain regions characterized by strong acceleration and deceleration of the flow. In combination with this flow pattern, the rotation of particles becomes important. Applicable translational and rotational equations of motion combined with a drag correlation taking into account rotation will be derived for a Lagrangian type particle tracking. Orientation is described with quaternions to prevent the singularities associated with the description by Euler angles. The influence of regular shaped particles on collection efficiencies is investigated. Test cases are the flow past a cylinder, a NACA0012 airfoil and a NHLP L1/T2 three element airfoil. Due to the increased computational effort compared to the purely translational approach, observed trajectory simulation times are reported.
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Citation
Widhalm, M., "Lagrangian Trajectory Simulation of Rotating Regular Shaped Ice Particles," SAE Technical Paper 2015-01-2141, 2015, https://doi.org/10.4271/2015-01-2141.Also In
References
- Haider A. , Levenspiel O. Drag coefficient and terminal velocity of spherical and nonspherical particles Powder Technology 58 1 1989 63 70 10.1016/0032-5910(89)80008-7
- Ganser G. H. A rational approach to drag prediction of spherical and nonspherical particles Powder Technology 77 2 1993 143 152 10.1016/0032-5910(93)80051-B
- Tran-Cong S. , Gay M. , Michaelides E. E. Drag coefficients of irregularly shaped particles Powder Technology 139 2004 21 32 10.1016/j.powtec.2003.10.002
- Jeffery G. B. The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid Proc. R. Soc. Lond. A 102 1922 161 179 10.1098/rspa.1922.0078
- Cox R. G. The motion of long slender bodies in a viscous fluid: Part I General theory J. Fluid Mech. 44 4 1970 791 810 10.1017/S002211207000215X
- Qi D. Lattice-Boltzmann simualtions of particles in non-zero-Reynolds-number flows J. Fluid Mech. 385 1999 41 62 10.1017/S0022112099004401
- Huang H. , Yang X. , Krafczyk M. , Lu X.-Y. Rotation of spheroidal particles in coutte flows Journal of Fluid Mechanics 692 2012 369 394 10.1017/jfm.2011.519
- Rosendahl L. Using a multi-parameter particle shape description to predict the motion of non-spherical particle shapes in swirling flow Applied Mathematical Modelling 24 1 2000 11 25 10.1016/S0307-904X(99)00023-2
- Loth E. Lift of a Solid Spherical Particle Subject to Vorticity and/or Spin AIAA Journal 46 2008 801 809 10.2514/1.29159
- Mandø M. , Rosendahl L. On the motion of non-spherical particles at high Reynolds number Powder Technology 202 1 3 2010 1 13 10.1016/j.powtec.2010.05.001
- Kleinstreuer C. , Feng Y. Computational Analysis of Non-Spherical Particle Transport and Deposition in Shear Flow With Application to Lung Aerosol Dynamics - A Review Journal of Biomenchanic Engineering 135 2013 1 19 10.1115/1.4023236
- Zimmermann R. , Gasteuil Y. , Bourgoin M. , Volk R. , Pumir A. , Pinton J.-F. Tracking the dynamics of translation and absolute orientation of a sphere in a turbulent flow Review of Scientific Instruments 82 2011 1 9 10.1063/1.3554304
- Widhalm M. , Ronzheimer A. , Meyer J. Lagrangian Particle Tracking on Large Unstructured Three-Dimensional Meshes 46 th AIAA Aerospace Sciences Meeting and Exhibit, AIAA 2008-472 Reno, NV 2008
- Langmuir I. , Blodgett K. B. , U. S. A. A. Forces, A Mathematical Investigation of Water Droplet Trajectories, no. 5418 in Army Air Forces technical report Army Air Forces Headquarters, Air Technical Service Command 1946
- Hölzer A. , Sommerfeld M. New simple correlation formula for the drag coefficient of non-spherical particles Powder Technology 184 3 2008 361 365 10.1016/j.powtec.2007.08.021
- Kenwright B. A beginners guide to dual-quaternion Skala V. 20 th WSCG International Conference on Computer Graphics, Visualization and Computer Vision Plzen 2012
- Diebel J. Representing attitude: Euler angles, unit quaternions, and rotation vectors University Lecture, Stanford University 2006
- Evans D. J. On the representation of orientation space Mol. Phys. 34 2 1977 317 325 10.1080/00268977700101751
- Hölzer A. , Sommerfeld M. Lattice boltzmann simulations to determine drag, lift and torque acting on non-spherical particles Computers & Fluids 38 2009 572 589 10.1016/j.compfluid.2008.06.001
- Wadell H. The Coefficient of Resistance as a Function of Reynolds Number for Solids of Various Shapes Journal of the Franklin Institute 217 4 1934 459 490 10.1016/S0016-0032(34)90508-1
- Hörner S. F. Fluid-Dynamic Drag 1965
- Yin C. , Rosendahl L. , Knudsen S. , Sørensen H. Modelling the motion of cylindrical particles in a nonuniform flow Chemical Engineering Science 58 15 2003 3489 3498 10.1016/S0009-2509(03)00214-8
- White F. M. Viscous fluid flow 2nd McGraw- Hill, Inc. 1991
- Dennis S. C. R. , Ingham D. B. , Singh S. N. The steady flow of a viscous fluid due to a rotating sphere Quarterly Journal of Mechanics and Applied Mathematics 34 3 1981 361 373
- Zastawny M. , Mallouppas G. , Zhoa F. , van Wachem B. Derivation of drag and lift force and torque coefficients for non-spherical particles in flow International Journal of Multiphase Flow 39 2012 227 239 j.ijmultiphaseflow.2011.09.004
- Burns M. A Selection of Experimental Test Cases for the Validation of CFD Codes Tech. rep., AGARD AR 303 I 1994
- Spalart P. R. , Allmaras S. R. A one-equation turbulence model for aerodynamic flows AIAA Paper 920439 1992