knudsen number sentence in Hindi
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- Problems with Knudsen numbers below 0.1 can be evaluated using continuum hypothesis, but molecular approach ( statistical mechanics ) can be applied for all ranges of Knudsen numbers.
- The lab also has developed a general 2D / axi-symmetric / 3D code, LeMANS, to numerically solve the Navier-Stokes equations using computational fluid dynamics when the Knudsen number is sufficiently small.
- Nevertheless, the wide applications and fast advancements of this method during the past twenty years have proven its potential in computational physics, including microfluidics : LBM demonstrates promising results in the area of high Knudsen number flows.
- If the Knudsen number is near or greater than one, the mean free path of a molecule is comparable to a length scale of the problem, and the continuum assumption of fluid mechanics is no longer a good approximation.
- This also is the case when the Knudsen number is close to one, K _ { n } \ rightarrow 1, or the continuum is a non-Newtonian fluid, which can lead to rotationally non-invariant fluids, such as polymers.
- Using the Knudsen number an adjustment for Stokes'Law can be used in the Cunningham correction factor, this is a drag force correction due to slip in small particles ( i . e . " d " " p " < 5 �m ).
- By expanding the particle distribution function into equilibrium and non-equilibrium components and using the Chapman-Enskog expansion, where K is the Knudsen number, the Taylor-expanded LBE can be decomposed into different magnitudes of order for the Knudsen number in order to obtain the proper continuum equations:
- By expanding the particle distribution function into equilibrium and non-equilibrium components and using the Chapman-Enskog expansion, where K is the Knudsen number, the Taylor-expanded LBE can be decomposed into different magnitudes of order for the Knudsen number in order to obtain the proper continuum equations:
- As the pressure scale height is almost equal to the density scale height of the primary constituent, and because the Knudsen number is the ratio of mean free path and typical density fluctuation scale, this means that the exobase lies in the region where \ mathrm { Kn } ( h _ { EB } ) \ simeq 1.
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