118 citations · 255 across the 17 of their papers we have counts for
19 papers
Exact solution for heat transfer across the Sakiadis boundary layer
W. Cade Reinberger, Nathaniel S. Barlow, Mohamed A. Samaha +1
We consider the problem of convective heat transfer across the laminar boundary-layer induced by an isothermal moving surface in a Newtonian fluid. In previous work (Barlow, Reinbe…
Exact analytical solution for the Sakiadis boundary layer
Nathaniel S. Barlow, W. Cade Reinberger, Steven J. Weinstein
It has recently been established [Naghshineh et al., IMA J. of Appl. Math., 88, 1 (2023)] that a convergent series solution may be obtained for the Sakiadis boundary layer problem…
Asymptotically-consistent analytical solutions for the non-Newtonian Sakiadis boundary layer
Nastaran Naghshineh, Nathaniel S. Barlow, Mohamed A. Samaha +1
The Sakiadis boundary layer induced by a moving wall in a semi-infinite fluid domain is a fundamental laminar flow field relevant to high speed coating processes. This work provide…
On the response of neutrally stable flows to oscillatory forcing with application to liquid sheets
Colin M. Huber, Nathaniel S. Barlow, Steven J. Weinstein
Industrial coating processes create thin liquid films with tight thickness tolerances, and thus models that predict the response to inevitable disturbances are essential. The mathe…
On the shape of an axisymmetric meniscus rising from a static liquid pool
Nastaran Naghshineh, W. Cade Reinberger, Nathaniel S. Barlow +2
We examine the classical problem of the height of a static liquid interface that forms on the outside of a solid vertical cylinder in an unbounded stagnant pool exposed to air. Gra…
On the two-dimensional extension of one-dimensional algebraically growing waves at neutral stability
Colin M. Huber, Nathaniel S. Barlow, Steven J. Weinstein
This work considers two linear operators which yield wave modes that are classified as neutrally stable, yet have responses that grow or decay in time. Previously, King et al. (Phy…