what would happen if two streamines in interest?
Answers
A streamline is defined as an imaginary line(or curve) in the flow field so that the tangent to the streamline at any point gives the direction of instantaneous velocity at that point.
Now, if two streamlines intersect each other, then there will be two different velocity vectors at a point at the same time in a flow field which is impossible.
The image shows two streamlines A and B intersecting each other, and at a point, there are two vectors a and b defined, i.e. two instantaneous velocities defined at a point in the flow field which is physically impossible.
Why shouldn't two streamlines cross each other? What if we define it in such a way that, "Two streamlines can cross each other and the resultant of the vectors of instantaneous velocity, obtained at a particular point, at a particular time instant in a flow field is taken to be the instantaneous velocity at that particular point".
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