Civil Engineering - GATE Exam Questions - Discussion
Discussion Forum : 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
Discussion:
12 comments Page 1 of 2.
Divya joshy said:
1 decade ago
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:
1 decade ago
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.
=> W=y*y*y/3 + 2xy*y.
Also, dQ/dY = v = -dW/dX = -2y*y.
Option C is correct.
Ritesh kumar said:
10 years ago
Apply continuity equation.
Rihaan said:
9 years ago
I didn't get it, please explain me once.
Pran said:
9 years ago
Please explain me again.
Minakshi said:
9 years ago
Not getting this, Please explain me again.
Denny said:
9 years ago
du/dx + dv/dy = 0.
Appy that then you'll get -2y^2.
Appy that then you'll get -2y^2.
Siva said:
8 years ago
I did not understand this. Please, anyone explain.
Sheela said:
8 years ago
I didn't understand. Please anyone help me.
Geethu said:
6 years ago
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.
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.
(3)
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