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i would like to simulate an ideal gas flow in a cube...the cube consists of small cubes lined next to each other..after warming up one small cube i should describe how is the heat spreading to the rest of the smaller cubes...using eulers equations for inviscid fluid motion 3D..

using the equation of state I count the mass of molecules inside one small cube,a=1m

V=1m3

P=100KPa

T=293.15K

r=8.314

n=PV/rT

n=41.0299mol

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i warm up one small cube to 293.25K,so the pressure will rise

now according to the equation for axes x

it should be something like

Vx_new-Vx+(Vx-V(x-1))*Vx=-(Px-P(x-1))/rho

where

Vx_new-Vx=local acceleration

(Vx-V(x-1))*Vx=konvective acceleration

the rest can be neglected cause it is laminar flow

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as far as i know the molecules in the cube with higher pressure should move to cubes with lower pressure

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the problem is that using this formula the molecules spread also from cubes with lower pressure to cube with higher pressure which is wrong..and i don t know how to twist the formula to prevent that..

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so please if u have some experiences with modeling gas flow using there equations or if u see a mistake in my rewritten formula please let me know..

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# Euler´s equation for inviscid flow

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