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I've been trying to deduce the Bernoulli's theorem but i have a few problems enter image description here

Why is it restricted to a streamline?

Thank you very much

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  • $\begingroup$ If you could be very clear about the concept of streamline that would be really helpful as well =) $\endgroup$ – Lucas Tonon Sep 25 '18 at 19:34
  • $\begingroup$ Welcome to Physics.SE. Please do not post images of text, instead type the content of the image (If the problem is how to type the maths: On Physics.SE you can typeset equations using MathJax. This way the content will be accessible to people with visual impairments, the search function of the site and search engines, in addition creating a more consistent look. $\endgroup$ – Sebastian Riese Sep 25 '18 at 19:57
  • $\begingroup$ You do realize that U has the same direction as a unit vector in the streamline direction, correct? So the dot product of the unit vector with the gradient of the kinetic energy per unit volume gives you the spatial rate of change of the kinetic energy per unit volume with respect to distance along a streamline. $\endgroup$ – Chet Miller Sep 26 '18 at 1:57
  • $\begingroup$ Bernoulli equation hold along either a streamline or a vortex line. Part of my post here may be useful to you. $\endgroup$ – Deep Sep 26 '18 at 6:06
  • $\begingroup$ It is just energy conservation. But if it not streamline motion then energy will not be conserved. Hence we can not use it. $\endgroup$ – Naga Sandesh Goli Jul 6 at 6:43

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