Abstract:
In this work we study two problems involving fluid flow and transport phenomena at small
length scales. The first is concerned with solving the fundamental problem of heat or mass
transfer from neutrally buoyant drops in an ambient shearing flow, where the rate of heat or
mass transfer is calculated by a boundary layer analysis in the strong convection limit. In the
second, we investigate through numerical simulations, the conditions for the onset of collective
motion in a micro-scale swimmer suspension. This thesis is organized in two distinct parts with
the drop heat transfer problem appearing first followed by the study on micro-scale swimmers.
