1
GATE ME 2001
+2
-0.6
The $$2$$ - $$D$$ flow with, velocity $$\overrightarrow v = \left( {x + 2y + 2} \right)\overrightarrow i + \left( {4 - y} \right)\overrightarrow j$$ is
A
Compressible and irrotational
B
Compressible and not irrotational
C
Inompressible and
D
Inompressible and not irrotational
2
GATE ME 1995
+2
-0.6
The velocity components in the $$x$$ and $$y$$ directions are given by $$u = \lambda x{y^3} - {x^2}y,$$ $$v = x{y^2} - {3 \over 4}{y^4}.$$ The value of $$\lambda$$ for a possible flow field involving an incompressible fluid is
A
$$- {3 \over 4}$$
B
$$- {4 \over 3}$$
C
$${4 \over 3}$$
D
$$3$$
3
GATE ME 1993
+2
-0.6
A velocity field is given as $$\overrightarrow V = 3{x^2}y\widehat i - 6xyz\widehat k$$\$
Where $$x,y,z$$ are in $$m$$ and $$V$$ $$m/s.$$ Determine if

(i) It represents an incompressible flow
(ii) The flow is irrotational
(iii) The flow is steady .

A
(i) and (iii)
B
(i) and (ii)
C
(ii) and (iii)
D
(i) only
4
GATE ME 1989
+2
-0.6
The stream function in a two dimensional flow field is given by $$\Psi = {x^2} - {y^2}$$
The magnitude of the velocity at point $$(1,1)$$ is
A
$$2$$
B
$$2\sqrt 2$$
C
$$4$$
D
$$8$$
GATE ME Subjects
EXAM MAP
Medical
NEET