Civil Engineering - GATE Exam Questions - Discussion

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

Answer: Option C

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.

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