WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 16, 2021
On a Study of Flow Past Non-Newtonian Fluid Bubbles
Authors: ,
Abstract: In the current work, we aim at finding an analytical solution to the problem of fluid flow past a pair
of separated non-Newtonian fluid bubbles. These bubbles are assumed to be spherical and non-permeable with
the non-Newtonian fluid, viz. the couple stress fluid filling their interior. Further, the bubbles are presumed to be
static in the flow domain, where a Newtonian fluid streams past these bubbles with a constant velocity (U) along
the negative x-direction. We developed a mathematical model in the bipolar coordinate system for the fluid flow
outside the bubbles and the spherical coordinate system inside the bubbles to derive a separable solution for their
respective governing equations. Furthermore, to evaluate the model's applicabilities on the industrial front, the
data on some widely used industrial fluids are given as inputs to the model, such as density, the viscosity of air
or water for the fluid flow model developed for the region outside the fluid bubbles and the data on Cyclopentane
or DIDP (non-Newtonian) for that within the bubbles. Some interesting findings are: the pressure in the outer
region of the bubbles is higher when filled with low viscous industrial fluid, Cyclopentane, than a high viscous
fluid, DIDP. Furthermore, an increase in the viscosity of Cyclopentane did not alter the pressure distribution in
the region outside the bubbles. However, there is a considerable effect on this pressure in the case of DIDP
bubbles.
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Keywords: Fluid bubbles, Separated Spheres, Bipolar coordinates, Couple stress fluid, Industrial application,
Diisodecyl Phthalate, Cyclopentane
Pages: 79-91
DOI: 10.37394/232013.2021.16.8