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Radiation heat loss from the reaction zone is accounted for using the optically thin assumption.
(e) Emission measure derived from the brightness temperature at 17 GHz and the temperature from AIA using the optically thin assumption.
Hence, the optically thin assumption in the coronal environment gives a spectral index of about 2. In fact, the spectral index of the microwave free-free emission in the corona is typically 2 (e.g., Kundu [1965]).
Burning velocities were also computed using the steady, one-dimensional laminar premixed flame code PREMIX with detailed chemical kinetics, transport properties, and radiative heat loss based on an optically thin assumption.
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The coating was modeled using a thin layer assumption.
Comparisons between analytical and experimental results showed a good agreement, even for experimental conditions beyond the thin layer assumption.
A thickness strain model of aluminium alloy plate under plastic deformation, based on thin plate assumption was proposed.
An analytical model of the sensor is derived based on thin shell assumption with simply-supported boundary conditions.
In order to examine the range of the validity of the thin shell assumption we model TWCSs with shell volume fractions of 5 and 10%.
It is found that radiation efficiency of thicker shells is greater than thinner shells while shells with a clamped boundary constraint radiate sound more efficiently than simply supported shells under thin shell assumption.
A semi-analytical model based on a thin screen assumption for fluid flow calculation and on correction factors to Stokes law for drag force is used to compute the particle trajectory.
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