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I was a under a little confusion about vector field.

Consider velocity field of fluid flow:

V = u i + v j + w k

here V is vector and consider a cap over i, j, k (since they represent x,y,z directions)

now we know that u,v,w are functions of x,y,z,t. This is where i am confused.

u is velocity component in x direction then it should be function of only x and t. Why y and z also???????

In a velocity field we see arrows representing magnitude and direction of velocity at any position, are these arrows over fluid particles? I mean can i assume each arrow as a particle at that position having certain velocity represented by the arrow??????

I think i lack understanding of fluid velocity field. Can anyone expalin a bit.

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# Vector field- fluid mechanics

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