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Saturday, 20 October 2012

Stream function and Potential function and these properties

Stream function:-
It is defined as the scalar function of space and time, such that its partial derivative with respect to any direction gives the velocity component at right angles to that direction. 



r: white; color: red; font-family: georgia, serif;">properties of stream function
i) If stream function exists , it is a possible case of fluid flow. 
ii) If stream function satisfies the laplace equation is a possible case of irrotational flow.

 Potential function:-
It is defined as a scalar function of time and space such that its negative derivative with respect to any direction gives the fluid velocity in that direction. 
 properties of velocity potential function.

  1. If the velocity potential function exists , it is a possible case of irrotational flow. 
  2. Lines of constant velocity potential function and lines of constant stream function are mutually orthogonal. 

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