If (u(y),0,0) are the velocity components of an incompressible Newtonian fluid flow due to a pressure gradient in the X-direction, then u(y) is a
(a) linear function of y.
(b) quadratic function of y.
(c) cubic function of y.
I started with Euler dynamical equation as follows:
where and is the external force, being pressure gradient. Now as per question we have along X-direction that
C being arbitrary constant. But from here I am unable to conclude whether this is linear or quadratic or cubic or constant. Is my thinking correct here?