4 citations · 4 across the 5 of their papers we have counts for
5 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…
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 use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs
Nastaran Naghshineh, W. Cade Reinberger, Nathaniel S. Barlow +2
We examine the power series solutions of two classical nonlinear ordinary differential equations of fluid mechanics that are mathematically related by their large-distance asymptot…
On the trajectory of the nonlinear pendulum: Exact analytic solutions via power series
W. Cade Reinberger, Morgan S. Holland, Nathaniel S. Barlow +1
We provide an exact infinite power series solution that describes the trajectory of a nonlinear simple pendulum undergoing librating and rotating motion for all time. Although the…