We present a novel, thermodynamically consistent, model for the charged-fluid flow and the deformation of the morphology of polymer electrolyte membranes (PEM) in hydrogen fuel cells. The solid membrane is assumed to obey linear elasticity, while the pore is completely filled with protonated water, considered as a Stokes flow. The model comprises a system of partial differential equations and b...

A theoretical and a mathematical model is presented to determine the entropy generation on electro-kinetically modulated peristaltic propulsion on the magnetized nanofluid flow through a microchannel with joule heating. The mathematical modeling is based on the energy, momentum, continuity, and entropy equation in the Cartesian coordinate system. The effects of viscous dissipation, heat absorpt...

MODELING STUDIES AND NUMERICAL ANALYSES OF COUPLED PDES SYSTEM IN ELECTROHYDRODYNAMICS by Yuzhou Sun Dr. Pengtao Sun, Examination Committee Chair Associate Professor of Mathematics University of Nevada, Las Vegas, USA Electrohydrodynamics (EHD) is the term used for the hydrodynamics coupled with electrostatics, whose governing equations consist of the electrostatic potential (Poisson) equation,...

Experiments on underdoped cuprate superconductors suggest an intricate relation between the normal-state Nernst effect and stripe order: The Nernst signal appears enhanced near 1/8 hole doping and its onset temperature scales with the stripe-ordering temperature over some range of doping. Here, we employ a phenomenological quasiparticle model to calculate the normal-state Nernst signal in the p...

We study a model electrochemical thin film at DC currents exceeding the classical diffusion-limited value. The mathematical problem involves the steady Poisson–Nernst–Planck equations for a binary electrolyte with nonlinear boundary conditions for reaction kinetics and Stern-layer capacitance, as well as an integral constraint on the number of anions. At the limiting current, we find a nested b...

Abstract Developing a new technique/method and/or mechanism for separating ionic charges is critical to the fabrication of high-performance nanogenerator. Inspired by charge migration separation under an electric bias, herein, we demonstrate reverse process in which gradients within metal nanoparticle film are used output electrical energy. The core ‘jammed’ film, while counterion itself mobile...

‎Multivariate normal-Poisson model has been recently introduced as a special case of normal stable Tweedie models‎. ‎The model is composed of a univariate Poisson variable‎, ‎and the remaining variables given the Poisson one are independent Gaussian variables with variance the value of the Poisson component‎. ‎Two characterizations of this model are shown‎, ‎...

In this paper, we design, analyze, and numerically validate positive energy-dissipating schemes for solving the time-dependent multi-dimensional system of Poisson–Nernst–Planck equations, which has found much use in modeling biological membrane channels semiconductor devices. The semi-implicit time discretization based on a reformulation gives well-posed elliptic system, is shown to preserve so...