1
$\begingroup$

In Bernoulli's theoram as stream lines cannot intersect each other and even water is nearly incomprehensible then how is it possible to all the water which got in come out, eg 100 stream lines goes in from one side then 100 stream lines should come out the other end whereas the area is decreased and even water is incomprehensible

$\endgroup$
  • 1
    $\begingroup$ If the water is being forced into the pipe at a constant rate, then the water will have to speed up in exiting the pipe as to conserve mass. Assuming perfect incompressibility. $\endgroup$ – Merkh Sep 12 '17 at 22:23
  • 1
    $\begingroup$ The velocity of the fluid between the streamlines gets faster as the streamlines get closer together. $\endgroup$ – Chet Miller Sep 14 '17 at 12:54
1
$\begingroup$

Stream lines have no radial dimension (width).

You can keep squishing them infinitely close together, because they just describe the motion of the fluid.

What you describe does have implications for continuity though. Since mass flow has to stay the same (no mass being created/destroyed), if the area decreases, the fluid must move faster. That is to say that the spacing between the lines would have an effect on the velocity of the fluid.

$\endgroup$
  • 1
    $\begingroup$ Do stream line are imaginary and only describes the motion of the flow of the water or they have physical meaning of the water molecules in a straight line from starting to end $\endgroup$ – user38108 Sep 13 '17 at 11:03

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.