Thermal Study of Viscoelastic Material between Two Rotating Concentric Annuli: Application at
Drilling Process
Meriem Amoura 1, Noureddine Zeraibi 2

1Meriem AMOURA, Department of Fluids Dynamics, Faculty of Physics/ University of Sciences and Technology Houari Boumediene, Algiers, Algeria.
2Noureddine ZERAIBI, Department of Transport and Equipment, faculty of Hydrocarbons/ University of Boumerdes/ Boumerdes, Algeria.
Manuscript received on February 04, 2013. | Revised Manuscript received on February 27, 2013. | Manuscript published on March 05, 2013. | PP: 287-289 | Volume-3 Issue-1, March 2013. | Retrieval Number: A1376033113
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Abstract: This article presents a numerical investigation of the thermal convection for a viscoelastic material in the annular space between two coaxial rotating cylinders. The problem is considered when the inner cylinder rotates about the common axis with constant angular velocity and the outer cylinder at the rest. The horizontal endplates are assumed adiabatic. The Carreau stress-strain constitutive equation was adopted to model the rheological material characteristics. The governing equations are numerically solved by a time-marching finite element algorithm. It is employed to compute numerical solution through a semi-implicit Taylor-Galerkin / pressure-correction scheme, based on a fractional-step formulation. The effect of rheological parameters on the heat transfer and on the flow is analysed. The results of natural, forced and mixed convections are presented and discussed.
Keywords: Drilling process, Numerical simulation, Rotating concentric cyloinders, Thermal study, Viscoelastic material.