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Announcements

Sign Up for Credit by Exams in the Math office, December 7-9.

Credit by Exam in MASC 1024 will be Thursday, December 10, 2:00 - 4:00 PM.

Women in Mathematics: Career Day at Virginia Tech will be at the Math Emporium on the morning of Friday, November 20. Virginia Tech faculty, students, and alumnae will join approximately 250 sixth graders for an intergenerational, multimedia, mathematical celebration.

The Putnam Mathematical Competition will be on Saturday, December 5. Undergraduates wishing to participate should sign up at McBryde 472 by October 9.

Featured Research

Shahriar Afkhami - Ferrofluids consist of magnetic nanoparticles in a colloidal solution. Recent developments in the synthesis and characterization of ferrofluids are motivated by biomedical applications. In magnetic drug targeting, for example, the understanding of the interaction of an external magnetic field with blood flow containing ferro-droplets is of significant interest. The governing equations are the Maxwell equations for non-conducting flows and Navier-Stokes equations for immiscible and incompressible two-fluid systems. We numerically study the interfacial dynamics of ferro-droplets in non-magnetic viscous media subjected to magnetic field gradients. Influenced by the presence of a non-uniform magnetic field, ferrofluid droplets deform to prolate droplets in the direction of the magnetic field.

The figure shows that the droplet undergoes deformation due to the presence of an external magnetic field gradient. The droplet magnetic Bond number is 0.05.

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