The effect of surface roughness on developed laminar flow in microtubes is investigated. The tube boundary is defined by, with R representing the reference radius and λ the roughness parameters. The momentum equation is solved using Fourier-Galerkin-Tau method with slip at the boundary. A novel semi-analytical method is developed to predict friction factor and pressure drop in corrugated rough microtubes for continuum flow and slip flow that are not restricted to small values of. The analytical solution collapses onto the perturbation solution ofDuan and Muzychka (J. Fluids Eng., 130:031102, 2008) for small enough values of.
|Number of pages||8|
|Journal||Zeitschrift fur Angewandte Mathematik und Physik|
|Publication status||Published - Aug 1 2011|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Applied Mathematics