# Civil Engineering - GATE Exam Questions - Discussion

### Discussion :: GATE Exam Questions - Section 1 (Q.No.24)

24.

X-component of velocity in a 2-D incompressible flow is given by u = y2 + 4 xy. If Y-com-ponent of velocity 'v' equals zero at y = 0, the expression for 'v' is given by

 [A]. 4y [B]. 2y2 [C]. -2y2 [D]. 2xy

Explanation:

No answer description available for this question.

 Divya Joshy said: (Aug 26, 2014) Sum of partial derivative of you with respect to x and partial derivative of v with respect to y is zero for incompressible flow of fluid.

 Dileep Barnwal said: (Sep 22, 2014) Velocity scalar function dQ/dx = u = dW/dY velocity stream function. => W=y*y*y/3 + 2xy*y. Also, dQ/dY = v = -dW/dX = -2y*y. Option C is correct.

 Ritesh Kumar said: (Sep 13, 2015) Apply continuity equation.

 Rihaan said: (Aug 25, 2016) I didn't get it, please explain me once.

 Pran said: (Sep 17, 2016) Please explain me again.

 Minakshi said: (Jan 4, 2017) Not getting this, Please explain me again.

 Denny said: (Jan 9, 2017) du/dx + dv/dy = 0. Appy that then you'll get -2y^2.

 Siva said: (Nov 22, 2017) I did not understand this. Please, anyone explain.

 Sheela said: (Dec 17, 2017) I didn't understand. Please anyone help me.

 Geethu said: (Mar 23, 2019) Du/dx +dv/dy = 0. D/dx (y^2 +4xy) + d/dy (v-unknown) = 0, 4y + d/dy (v-unknown) =0, d/dy (v-unknown) = - 4y, Integrate on both sides wrt y. V= - 2y^2.

 Sheela said: (Jan 27, 2020) Thanks @Geethu.

 Phanindra said: (Jan 30, 2020) Good explanation. Thanks @Geethu.