Three-dimensional hydrodynamical modelling of viscous flow around a rotating ellipsoidial inclusion

Abstract A procedure and a FORTRAN program are presented which enable numerical modelling of viscous flow around a rotating rigid ellipsoidal inclusion. For any homogeneous flow given by a velocity gradient tensor it is possible to trace the rotation of the inclusion, velocity field around it, and also the motion of a chosen set of passive markers within the fluid. Examples of modelling were visualized using the MATLAB Package.

[1]  E. Tryggvason,et al.  Preferred orientations of rigid particles in a viscous matrix deformed by pure shear and simple shear , 1974 .

[2]  Pulsating oblate and prolate three-dimensional strains , 1997 .

[3]  G. B. Jeffery.  The motion of ellipsoidal particles immersed in a viscous fluid , 1922 .

[4]  T. Masuda,et al.  Development of snowball structure: numerical simulation of inclusion trails during synkinematic porphyroblast growth in metamorphic rocks , 1989 .

[5]  Hubao Zhang,et al.  A Macintosh application program for simulating shear-sense indicators using object-oriented programming , 1995 .

[6]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[7]  W. E. Stephens,et al.  Granite: From Segregation of Melt to Emplacement Fabrics , 1997 .

[8]  B. Ildefonse,et al.  Mechanical interactions between rigid particles in a deforming ductile matrix. Analogue experiments in simple shear flow , 1992 .

[9]  Hervé Diot,et al.  Rigid Particles in Simple Shear Flow: Is Their Preferred Orientation Periodic or Steady-State ? , 1997 .

[10]  R. Weijermars.  Taylor-mill analogues for patterns of flow and deformation in rocks , 1998 .

[11]  S. Ghosh,et al.  Reorientation of inclusions by combination of pure shear and simple shear , 1976 .

[12]  Josef Ježek,et al.  Software for modeling the motion of rigid triaxial ellipsoidal particles in viscous flow , 1994 .

[13]  B. Freeman,et al.  The motion of rigid ellipsoidal particles in slow flows , 1985 .

[14]  S. Ghosh.  Distortion of planar structures around rigid spherical bodies , 1975 .

[15]  Josef Ježek,et al.  Fabric evolution of rigid inclusions during mixed coaxial and simple shear flows , 1996 .

[16]  D. Sokoutis,et al.  Experimental modelling of mantled porphyroclasts , 1993 .

[17]  Modelling of mantled porphyroclasts using non-Newtonian rock analogue materials , 1995 .

[18]  T. Masuda,et al.  Viscous flow around a rigid spherical body: a hydrodynamical approach , 1988 .

[19]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .