Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Barlow, Nathaniel S."'
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, Reinberger, and Weinstein, 2024, \textit{Physics of Fluids}, \textbf{36} (03
Externí odkaz:
http://arxiv.org/abs/2405.06071
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 once key parameters are determined iteratively using the series itself
Externí odkaz:
http://arxiv.org/abs/2401.11034
Publikováno v:
Physics of Fluids, 1 May 2023
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 provides an analytical solution to the boundary layer problem for Ostwald-de
Externí odkaz:
http://arxiv.org/abs/2303.04703
Industrial coating processes create thin liquid films with tight thickness tolerances, and thus models that predict the response to inevitable disturbances are essential. The mathematical modeling complexities are reduced through linearization as eve
Externí odkaz:
http://arxiv.org/abs/2208.02180
Autor:
Naghshineh, Nastaran, Reinberger, W. Cade, Barlow, Nathaniel S., Samaha, Mohamed A., Weinstein, Steven J.
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. Gravitational and surface tension effects compete to affect the interface
Externí odkaz:
http://arxiv.org/abs/2208.11478
On the two-dimensional extension of one-dimensional algebraically growing waves at neutral stability
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. (Phys. Rev. Fluids, 1, 2016, 073604:1-19) and Huber et al. (IMA J. Appl. M
Externí odkaz:
http://arxiv.org/abs/2207.00009
Autor:
Naghshineh, Nastaran, Reinberger, W. Cade, Barlow, Nathaniel S., Samaha, Mohamed A., Weinstein, Steven J.
Publikováno v:
IMA Journal of Applied Mathematics, February 2023
We examine the power series solutions of two classical nonlinear ordinary differential equations of fluid mechanics that are mathematically related by their large-distance asymptotic behaviors in semi-infinite domains. The first problem is that of th
Externí odkaz:
http://arxiv.org/abs/2206.01536
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 series coefficients were previously given in [V. Fair\'en, V. L\'opez,
Externí odkaz:
http://arxiv.org/abs/2108.09395
The interface shape of a fluid in rigid body rotation about its axis and partially filling the container is often the subject of a homework problem in the first graduate fluids class. In that problem, surface tension is neglected, the interface shape
Externí odkaz:
http://arxiv.org/abs/2102.08203
The inertial collapse of two interacting and non-translating spherical bubbles of equal size is considered. The exact analytic solution to the nonlinear ordinary differential equation that governs the bubble radii during collapse is first obtained vi
Externí odkaz:
http://arxiv.org/abs/2102.05222