for a particular stream line stream function is always constant why?
for a particular stream line stream function is always constant why?
KUMAR , 9 Years ago
Grade 12th pass
Engineering Entrance Exams> for a particular stream line stream funct...
2 AnswersSaurabh Koranglekar
Dear student
Please ask questions related to JEE
Regards
Please ask questions related to JEE
Regards
Arun
Dear student
First of all, I hope you know the concept of the streamlines & equipotential lines.
We know that,
* Slope of streamline = v / u
* Slope of equipotential line = (-u) / v
* So, m1 × m2 = (-1).
Now, from above explanation we say that ***equipotential lines are normal to the streamlines.***
Now, coming to your point. You said stagnation point. So, first of all you need to know what is stagnation point
* **Stagnation point : It's point which is characterised by *****u = v = 0.( local velocity of fluid is zero)***
Now, as you see local velocity is zero at stagnation point.
So,
***At stagnation point,***
***Components of streamlines & equipotential lines are VANISH simultaneously***.
So,
It's pretty obvious that streamlines & equipotential lines are normal to each other ***except at stagnation point.***
Hope, this helps !
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