publication . Preprint . 2015

Theoretical Investigation of Creeping Viscoelastic Flow Transition Around a Rotating Curved Pipe

Hamza, S. E. E.; El-Bakry, Mostafa Y.;
Open Access English
  • Published: 29 Apr 2015
Abstract
The study of creeping motion of viscoelastic fluid around a rotating rigid torus is investigated. The analysis of the problem is performed using a second-order viscoelastic model. The study is carried out in terms of the bipolar toroidal system of coordinates where the toroid is rotating about its axis of symmetry (z-axis). The problem is solved within the frame of slow flow approximation. Therefore, all variables in the governing equations are expanded in a power series of angular velocity. A set of successive partial differential equations is obtained. The equations of motion governing the first and second-order are formulated and solved for the first-order on...
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free text keywords: Physics - Fluid Dynamics
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