Preface

A new explicit approximation to Colebrook’s friction factor in rough pipes under highly turbulent cases

“…To find friction factor given implicitly in (1), one needs to use numerical algorithms, which are not as quick as the explicit approximations to solution of (1) for friction factor. Particularly in complex and supercritical pipe-flow systems it becomes difficult to use (1). In such situations for quick estimation of friction factor, reliable explicit approximations are preferred.…”

“…While transfer of fluid through chemical reactors and in industrial processes involving single-phase, double-phase and even more complicated pipe flow systems, pipe friction is critical. Nowadays even in medical sciences and biomedical engineering, when high local velocities are attained in blood vessels while transportation of a physiological fluid through catheter tube into the body, analysis of friction factor in catheter is important [1]. To calculate friction factor in such situations, Colebrook-White equation is a widespread standard for pipes (rough or smooth) under turbulent flows.…”

Motor protein motion along microtubules for molecular detection

“…Comparing the results with the control experiment shows the significance of the results. The results of the Student's t test [5] for MuTMT case and TMT case are p=0.86 and p<0.01 respectively.…”

Transcription factor network reconstruction using the living cell array

“…However, one issue with this reconstruction is the fact that there is significant error propagation. Due to the recurrence from of standard Euler integration, the errors from previous time points are incorporated into the prediction for later time points (Dunn et al, 2006). Thus certain reconstructions such as the one where NFkB is stimulated via Dexamethasone show a reconstruction with deviated significantly.…”