A Numerical Study of Flow and Heat Transfer Between Two Rotating Spheres With Time-Dependent Angular Velocities

Author:

Moghadam Ali Jabari1,Rahimi Asghar Baradaran1

Affiliation:

1. Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad 91775, Iran

Abstract

The transient motion and the heat transfer of a viscous incompressible fluid contained between two vertically eccentric spheres maintained at different temperatures and rotating about a common axis with different angular velocities are numerically considered when the angular velocities are arbitrary functions of time. The resulting flow pattern, temperature distribution, and heat transfer characteristics are presented for the various cases including exponential and sinusoidal angular velocities. Long delays in heat transfer of large portions of the fluid in the annulus are observed because of the angular velocities of the corresponding spheres. As the eccentricity increases and the gap between the spheres decreases, the Coriolis forces and convection heat transfer effect in the narrower portion increase. Special results for concentric spheres are obtained by letting eccentricity tends to zero.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference15 articles.

1. Note on Boundary Layer on a Rotating Sphere;Howarth;Philos. Mag.

2. The Almost-Rigid Rotation of Viscous Fluid Between Concentric Spheres;Proudman;J. Fluid Mech.

3. Boundary Layer on a Rotating Sphere;Lord;Proc. R. Soc. London, Ser. A

4. Fox, J. , 1964, “Singular Perturbation of Viscous Fluid Between Spheres,” NASA TN D-2491, pp. 1–50.

5. Axially Symmetric Motion of a Rotating Fluid in a Spherical Annulus;Greenspan;J. Fluid Mech.

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