Poisson–Boltzmann Equation for Microfluidic Transport Phenomena with Statistical Thermodynamics Approach P. Pezeshkpour,∗ G. Schneider,† and C. Ren‡ University of Waterloo, Waterloo, Ontario N2L 3G1, Canada 12. Potential temperature (aka Poisson's Equation) PT = T(1000/P)^Rd/cp = T(1000/P)^0.286 T = temperature in Kelvins P = pressure in millibars Rd = gas constant for dry air Cp = constant pressure process Interpretation: Potential temperature is the temperature a parcel of air will have if raised or lowered to the 1000-millibar level. Potential ... Poisson's equation, one of the basic equations in electrostatics, is derived from the Maxwell's equation and the material relation stands for the electric displacement field, for the electric field, is the charge density, and is the permittivity tensor. Using the electrostatic potential with leads to Poisson's equation (4.1)

4. 1. 5 Linear Example - Poisson Equation. This example shows the application of the Poisson equation in a thermodynamic simulation. The equation system consists of four points from which two are boundary points with homogeneous Dirichlet boundary conditions. Substituting the ratio of the dry-adiabatic temperature gradient to the autoconvection gradient for the ratio of the specific heat of air at constant pressure to the specific heat of air at constant volume figuring in the Poisson equation, it is shown that the layer method may be employed if the entire convection interval is divided into two ... Poisson–Boltzmann Equation for Microfluidic Transport Phenomena with Statistical Thermodynamics Approach P. Pezeshkpour,∗ G. Schneider,† and C. Ren‡ University of Waterloo, Waterloo, Ontario N2L 3G1, Canada