How to get a connection between alpha and z.

By using ODE 45 I have results for the three unknowns. My question is to get a closer, there should be some value of the constant alpha. But in theory alpha is related to w(vertical velocity). My question is if I set some value for alpha initially, is there any means to calculate for alpha for the value of z. I have been asked to get the relationship between alpha and z or to plot a graph.

[Torsten]

Could you rephrase your question ? It's unclear what you mean to say.

[Dereje]

Theoretically there is a connection between alpha and (wm) which shows how much water is transferred or entrained along z. It is clear that if I don't have alpha, then I couldn't get a solution. That means if I use for example alpha = 0.12 and calculate ODE get a solution. My question is: Does that mean that alpha is 0.12 all the way? also is there any way that I can calculate another alpha(for example) by using the other unknowns. I am not sure if I still clarified it well:)

[Torsten]

Does that mean that alpha is 0.12 all the way?

If you set alpha = 0.12 in your model, it is used all the way with this value. This does not mean, of course, that alpha does not change with height in reality.

also is there any way that I can calculate another alpha(for example) by using the other unknowns

No, you can't calculate alpha from the other unknowns, but if you have a hypothesis how alpha depends on another unknown / other unknowns, you can set alpha as a function of this/these unknown/s .

Best wishes

Torsten

[Dereje]

This is also what I thought. Otherwise alpha should be found from some experimental results. Thanks Torsten!