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The evolution studied is the affine analogue of the Euclidean Curve Shortening flow.
This technique was pioneered by Huisken [25] in his work on the curve shortening flow for embedded curves in the plane.
We consider the model problem where a curve in R3 moves according to the mean curvature flow (the curve shortening flow).
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Considering internal logistics activities, shortening material flow distance within a manufacturing area can lead to efficient productivity and a decrease in related costs.
In comparison with vehicle-treated rats, improvements were observed in LVEF, fractional shortening, transmitral flow ratio, E-wave velocity, cardiac wall-thinning ratio, LVEDP, dP/dT, and cardiac output.
The equilibrium time shortens when flow velocity increases due to enhanced mass transport.
However, the conclusions towards optimization of operating conditions, in most cases, were as follows: (1) process duration could be shortened, (2) flow rate should be kept at the lower boundary and (3) transmembrane pressure should be kept at the upper boundary of the investigated experimental space.
The analysis of the results indicates that the presence of the outer swirler ring enhances the rotation of the air flow, shortening the recirculation zone and moving it closer to the exit nozzle.
Discretizing the chip footprint area into multiple smaller heat sink elements with high-aspect-ratio microchannels ensures shortened effective fluid flow lengths.
At the inflow boundary of the computational domain, a semi-analytical velocity profile for submerged vegetation is used as the RANS inflow condition to shorten the unrealistic flow transition region.
If he could make it even smaller, he knew, he could pack the kilogram of particle-size components even tighter, speeding up the information flow and shortening the time it takes to do long, step-by-step calculations.
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CEO of Professional Science Editing for Scientists @ prosciediting.com