Calculation of the effect of inertia on the dynamic viscosity of dilute emulsions in a pure straining motion

spherical Bessel function complex ware number in the region a < r < b mass local unit normal vector hydrostatic pressure in the region a < r < b pressure in the region a < r < b real constant radial coordinate in spherical coordinates position vector time physical component of the radial velocity in the region a < r < b physical component of the tangential velocity in the region a < r < b velocity vector element of a C s space time-dependent coefficient of the flow field in the region a < r < b time-dependent coefficient time-independent part of a rate of strain tensor t'äte of strain tensor 8 × 8 matrix 6 × 6 matrix surface 6 x 2 matrix rate of work Legendre polynomial of the second order = dP2/dO 2 × 6 matrix 2 x 2 matrix radius of volume V Reynolds number real time-independent constant stress tensor in the region a < r < b deviatoric stress tensor in the region a < r < b ~, T stress tensor components in T(O0), T spherical coordinates in the r e g i o n a < r < b