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The evolution of the concentration polarization layer during crossflow reverse osmosis in a slit channel has been studied.
The evolution of the concentration in the solution was measured in-situ using a Mach-Zehnder interferometer.
The near-equilibrium kinetic model was able to describe the evolution of the concentration profiles of Mg(aq) and SiO2 aq) with good accuracy.
The evolution of the concentration is shown driven by the combination of hydraulic dispersion and diurnal reaction between plankton and nutrient.
Both approaches are applied to an existing plant for manufacturing the explosive hexogen and illustrated by showing the evolution of the concentration of the product with time and the associated uncertainties.
The spatial-temporal evolution of the concentration fields are governed by convection diffusion equations for non-magnetic cells and Nernst Planck type equations for beads and cell bead(s) complexes.
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Analysis of the evolution of the concentrations of other major elements of fly ash shows that the reaction follows a dissolution precipitation type mechanism.
Initially, a general nonlinear partial integro-differential equation model which describes the spatio-temporal evolution of the aerosol size distribution, as well as the evolution of the concentrations of species and temperature of the continuous phase is presented.
Dynamic macroscopic mass species and energy balances are derived to calculate the dynamic evolution of the concentrations of the various molecular species as well as of temperature profiles and heat removal in the two loop reactors.
The time evolution of the concentrations at the matrix interface (( {c}_i^{ast } )) is certainly the most interesting result obtained as it can be considered as characteristic of the mixed-mode growth.
Namely, they added diffusion terms to each of the two differential equations describing the time evolution of the concentrations of ATP and ADP.
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