Viscoelastic Fluid Flow Past a Submerged Spheroidal Body (Birefringence, Free Energy)

A stable and time-efficient numerical algorithm has been developed to study the problem of homogeneous axisymmetric flow of a third order fluid past a spheriodal body. The numerical solution was shown to agree well with existing analytical solutions for several limiting cases (such as flow past a sphere), and was used to investigate the effects of the (a) body shape, (b) free stream conditions, and (c) fluid elasticity on the local velocity and stress fields. The results of this study indicate that while a submerged spheroid gave rise to strong and highly localized stress fields, an immersed sphere created a stress field of moderate strength extending over larger distances. Also, it was found that the different free stream velocity fields, which included uniform flow, simple extensional flow and converging flow, resulted in different stress fields the strongest of which was produced by the extensional flow. Finally, it was found that the elasticity of the fluid had a profound effect on the local stresses. In some cases, the fore-aft symmetry of the stress field was lost, in others circulatory flow regions were produced downstream, and in all cases the magnitude of the stress tensor was increased as a result of increasing the fluid elasticity.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Chemical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Dairanieh, Issam Salah

• Engineering, Chemical

Identifier

(UMI)AAI8502123

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/69742