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A nonlinear, numerical solution of the partial differential equations results in predictions of temperature, pressure, velocity, and species fractions as a function of position and time.
Crystal plasticity simulation has been used to calculate the strain tensor in the specimens as a function of position and time.
Analytical expressions for the flow field are used to compute the local velocity inside an evaporating two-dimensional droplet as a function of position and time of evaporation.
The simulation provides as the output all the results that are obtained from a typical interdiffusion experiment including the concentration profiles, the Kirkendall shift and interdiffusion fluxes of the components as a function of position and time.
The lubrication approximation and a point-source description of the feed ports are used to develop a fourth-order partial differential equation describing the stream height as a function of position and time.
However, PEPT will be of direct value in determining the occupancy of material in equipment as a function of position and time; it will provide similar information on the velocity field.
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Displacement components are the product of functions of position and time.
This has enabled macromolecular deformation to be followed as a function of position and residence time.
It also predicts the porosity of the composite as a function of position and processing time.
This deterministic solver gives direct access to the kinetic density that is the solution to the Boltzmann equation, as a function of position, velocity, and time.
Measurements of dispersion were made as a function of both position and time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com