High School Why there is a difference between same components of 2 paral

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The discussion centers on the net outflow through two parallel surfaces with the same area, questioning why their x components differ. It is noted that flow velocity can vary between the two surfaces, leading to different x components despite their parallel alignment. The author highlights that water can enter through one surface and exit through others, such as in the y or z axes, affecting the overall flow dynamics. This indicates that the assumption of identical x components due to parallelism is flawed. Understanding these velocity differences is crucial for accurate calculations of fluid flow.
Hawkingo
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In this context the author is deriving the net outflow through 2 surfaces.to do so he is calculating the difference between x components ofthe vector V which is;

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so now my question is here the 2 surface are parallel to each other and have same area so their respective x components should be same.so why there is a difference?
thank you.
 

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Hawkingo said:
the 2 surface are parallel to each other and have same area so their respective x components should be same.so why there is a difference?
Why do you thing they have to be the same? Flow velocity can change from one area to the next.
 
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Hawkingo said:
View attachment 236565 View attachment 236566
so now my question is here the 2 surface are parallel to each other and have same area so their respective x components should be same.so why there is a difference?
thank you.
The text states that water is flowing either in or out of the volume through each of the six surfaces, so that there is possible difference of velocity between the two surfaces in x-axis, namely some water come in from surface 1 may come out from other surfaces in y or z axis rather than surface 2.
 
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