Boundary Layer Flow About and Inside a Liquid Sphere

[+] Author and Article Information
Maged A. I. El-Shaarawi, Abdulghani Al-Farayedhi, Mohamed A. Antar

Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

J. Fluids Eng 119(1), 42-49 (Mar 01, 1997) (8 pages) doi:10.1115/1.2819117 History: Received October 30, 1995; Revised April 23, 1996; Online December 04, 2007


A finite-difference scheme has been developed to solve the boundary-layer equations governing laminar flows around and inside a spherical fluid droplet moving steadily in another immiscible fluid. Using this scheme, results not available in the literature have been obtained for circulating droplets at intermediate and high interior-to-exterior viscosity ratios (μ*) and large values of the external flow Reynolds number (Re). Detailed results over the range 1.01 ≤ μ* ≤ ∞ (solid sphere) and 100 ≤ Re ≤ 10000 are presented for the velocity profiles outside and inside the droplet, the interface shear stress, the external flow separation angle, the droplet surface velocity and the drag coefficient.

Copyright © 1997 by The American Society of Mechanical Engineers
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