3 papers
physics.flu-dyn2024
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…
math-ph2024
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…
math.CA2021
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…