Search results
Results From The WOW.Com Content Network
The simplest reaction–diffusion equation is in one spatial dimension in plane geometry, = + (), is also referred to as the Kolmogorov–Petrovsky–Piskunov equation. [2] If the reaction term vanishes, then the equation represents a pure diffusion process.
This is a list of software used to simulate the material and energy balances of chemical process plants. Applications for this include design studies, engineering studies, design audits, debottlenecking studies, control system check-out, process simulation, dynamic simulation, operator training simulators, pipeline management systems, production management systems, digital twins.
The generator is used in evolution equations such as the Kolmogorov backward equation, which describes the evolution of statistics of the process; its L 2 Hermitian adjoint is used in evolution equations such as the Fokker–Planck equation, also known as Kolmogorov forward equation, which describes the evolution of the probability density ...
Diffusion-controlled (or diffusion-limited) reactions are reactions in which the reaction rate is equal to the rate of transport of the reactants through the reaction medium (usually a solution). [1] The process of chemical reaction can be considered as involving the diffusion of reactants until they encounter each other in the right ...
A chemical computer, also called a reaction-diffusion computer, Belousov–Zhabotinsky (BZ) computer, or gooware computer, is an unconventional computer based on a semi-solid chemical "soup" where data are represented by varying concentrations of chemicals. [1] The computations are performed by naturally occurring chemical reactions.
The self-diffusion coefficient of neat water is: 2.299·10 −9 m 2 ·s −1 at 25 °C and 1.261·10 −9 m 2 ·s −1 at 4 °C. [2] Chemical diffusion occurs in a presence of concentration (or chemical potential) gradient and it results in net transport of mass. This is the process described by the diffusion equation.
Simulation of the Brusselator as reaction diffusion system in two spatial dimensions Simulation [1] of the reaction-diffusion system of the Brusselator with reflective border conditions The Brusselator is a theoretical model for a type of autocatalytic reaction .
Gradient of parabola is used to evaluate diffusion terms. If F w > 0 and F e > 0 and if we use above equations for the convective terms and central differencing for the diffusion terms, the discretized form of the one-dimensional convection–diffusion transport equation will be written as: