Fast Fourier transforms for direct solution of Poisson's equation with staggered boundary conditions
Journal of Computational Physics
Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions
Journal of Computational Physics
Effects of the computational time step on numerical solutions of turbulent flow
Journal of Computational Physics
Random Data: Analysis and Measurement Procedures
Random Data: Analysis and Measurement Procedures
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This paper proposes a new numerical modelling to examine environmental chemodynamics of a gaseous material exchanged between the air and turbulent water phases across a gas-liquid interface, followed by an aquarium chemical reaction. This study uses an extended concept of a two-compartment model, and assumes two physicochemical substeps to approximate the gas exchange processes. The first substep is the gas-liquid equilibrium between the air and water phases, A(g)@?A(aq), with Henry@?s law constant H. The second is a first-order irreversible chemical reaction in turbulent water, A(aq)+H"2O-B(aq)+H^+ with a chemical reaction rate @k"A. A direct numerical simulation (DNS) technique has been employed to obtain details of the gas exchange mechanisms and the chemical reaction in the water compartment, while zero velocity and uniform concentration of A is considered in the air compartment. The study uses the different Schmidt numbers between 1 and 8, and six nondimensional chemical reaction rates between 10^-^~(~0) to 10^1 at a fixed Reynolds number. It focuses on the effects of the Schmidt number and the chemical reaction rate on fundamental mechanisms of the gas exchange processes across the interface.