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The temporal and spatial evolution of the density of populations of chemotactic bacteria have previously been modeled by phenomenological cell balance equations based on cell motion restricted to one dimension.
We propose a new computational closure for mesoscale balance equations based on numerical iterative deconvolution.
In this limit the nonlinear mass balance equations based on film theory are solved analytically using the method of matched asymptotic expansions.
The theoretical model consisted of the design equations and the energy balance equations, based on the reaction kinetics, for the plug flow and the batch reactor, which simulate the CVD system.
In this paper, the water-to-air heat exchanger is considered as a multi-input-and-multi-output system (MIMO), and the corresponding dynamic model is developed with the mass and energy balance equations based on which the state-space model for transient behavior of the heat exchanger is derived.
Metabolic networks are represented as a system of metabolite balance equations based on stoichiometric reactions.
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In order to detect the major cause for this runoff decline, we first theoretically derived the elasticity of runoff from the Choudhury Yang equation that is a water-energy balance equation based on the Budyko hypothesis.
In both rotation revolution relationships, the specific impact energy increases with an increase in the rotation-to-revolution speed ratio in the initial stage and then falls around the critical speed ratio, which can be calculated by the balance equation based on the centrifugal forces acting on a ball due to the combination of the rotation and revolution.
A dynamic simulation model of a hollow fiber membrane module has been developed by deriving new transient mole fraction balances, energy balances, and gas velocity equations based on mole balances.
The heat exchangers are modeled by one-dimensional partial differential equations based on mass balance, momentum balance and energy balance.
Exact equations, based on material balances and equilibrium relationships involving ϕ then permit calculation of limiting activity coefficients.
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CEO of Professional Science Editing for Scientists @ prosciediting.com