Entrance region flow in concentric annuli with rotating inner wall for Bingham fluid

Nadiminti, Srinivasa Rao and Kandasamy, A. (2016) Entrance region flow in concentric annuli with rotating inner wall for Bingham fluid. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 11 (2). pp. 137-157. ISSN 1586-2070

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Abstract

Entrance region flow in concentric annuli with rotating inner wall for Bingham non-Newtonian fluid has been studied numerically. The inner cylinder is assumed to be rotating with a constant angular velocity $\omega$ and the outer cylinder being stationary. A finite difference analysis is used to obtain the velocity components \textit{U, V, W} and the distribution of pressure \textit{P} along the radial direction \textit{R}. With the Prandtl's boundary layer assumptions, the continuity and momentum equations are solved iteratively using a finite difference method. Computational results are obtained for various non-Newtonian flow parameters and geometrical considerations. The development of the axial velocity profile, radial velocity profile, tangential velocity profile and pressure distribution in the entrance region have been analyzed. Comparison of the present results with the results available in literature for various particular cases has been done and found to be in agreement.

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