Abstract

For some ten years, several analytical problems have not been solved by the Navier-Stokes equation; hence numerical methods also known by 'Computational Fluid Dynamic' (CFD) have been developed. In the present paper, we have described in depth numerical study of the basic fluid mechanics problem and heat transfer of yield stress fluid flow with regularization model of Bercovier and Engelman [1] in a cylindrical vessel not chicaned equipped with an anchor stirrer by using computational fluid dynamics (CFD) based on the finite volumes method discretization of Navier - Stokes equations formulated in variables (U.V.P). We have studied the effect of inertia and the plasticity influence; we have analyzed also the influence of rheological parameters on the hydrodynamic flow behavior, such as the velocity components and the power consumption.

Highlights

  • Agitation techniques are widely used in process engineering and their fields of application are very varied

  • If the agitation is a unit operation aiming at promoting a physical process, such as homogenization or enhancement of heat transfer; predicting the power required for its implementation will be primary concern

  • For different regularization parameter compared with the Bingham model, we note that the value δ= 0.01 gives a sufficient approximation of the model

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Summary

INTRODUCTION

Agitation techniques are widely used in process engineering and their fields of application are very varied Among these agitation techniques, mechanical agitation is generally used, where it is necessary to create or accelerate the transfers of energy and matter between one or more phases in the presence, to achieve and promote certain physico-chemical transformations of the material. Mechanical stirring plays crucial role in the success of many process engineering operations; where the quality of the final product is a function of the effectiveness of the mixing process. These operations generally face difficulties related to the implementation of nonNewtonian fluids such as chemical and polymer solution, detergents, petroleum products..., when moved, stirred or mixed. The geometrical ratios used are d/D=0.96, da/D=0.023, and L/D=0.067

Fluid model
Numerical methodology
RESULTS AND INTERPRETATIONS
Nusselt number
Power consumption The power number is calculated according to this equation
CONCLUSION
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