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Terminal Falling Velocity of a sand garin (tutorial)

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Hi everyone...

Could someone please explain me why you add the GLOBAL VARIABLE X : X t - Xdo t. ?

The physics of the problem only state the necesity to establish the equation

Xdo t: Xdo tt-(F_z+F_g)/m_grain.,

which corresponds to the Ordinary Differential Equation:

(m_grain) * (Xdo tt) = (F_g+ F_z)

or

(F_g+ F_z)/(m_grain) - (Xdo tt) = 0 ; as is supossed to be entered in the software

The systems uses cylindrical coordinates so there is no conflict in x,y,z,t or X,Y,Z,T.

Thanks for your help on beforehand

Kind regards


1 Reply Last Post 2017年1月28日 GMT-5 16:57
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Hello Clotario Tapia

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Posted: 7 years ago 2017年1月28日 GMT-5 16:57
Hello,

The ODE below can be removed from the model without affecting the solution.
falling_sand.mph > Model 1 > Laminar flow > Global Equations
Xt - Xdot = 0

However, if you * do * include the ODE for "X" in the Global Equations, then you have the opportunity to plot the position of the grain particle in the z direction (denoted by the variable "X"). For example, you can plot "X" vs. time to see the position of the grain as a function of time.

See also the related link below
www.comsol.com/community/forums/general/thread/46937

-DW


Hello, The ODE below can be removed from the model without affecting the solution. falling_sand.mph > Model 1 > Laminar flow > Global Equations Xt - Xdot = 0 However, if you * do * include the ODE for "X" in the Global Equations, then you have the opportunity to plot the position of the grain particle in the z direction (denoted by the variable "X"). For example, you can plot "X" vs. time to see the position of the grain as a function of time. See also the related link below https://www.comsol.com/community/forums/general/thread/46937 -DW

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