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## Marks 1

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Consider the two-dimensional velocity field given by $$\overrightarrow V = \left( {5 + {a_1}x + {b_1}y} \right)\wideha... GATE ME 2017 Set 1 A channel of width$$450mm$$branches into two sub-channels having width$$300mm$$and$$200mm$$as shown... GATE ME 2016 Set 3 For a certain two-dimensional incompressible flow, velocity field is given by$$2xy\widehat i - {y^2}\widehat j.$$The s... GATE ME 2016 Set 3 The volume tric flow rate (per unit depth) between two streamlines having stream functions$${\psi _1}$$&amp;$${\psi _...
GATE ME 2016 Set 2
If the fluid velocity for a potential flow is given by $$V\left( {x,y} \right) = u\left( {x,y} \right)i + v\left( {x,y} ... GATE ME 2015 Set 2 A flow field which has only convective acceleration is GATE ME 2014 Set 4 A flow field which has only convective acceleration is GATE ME 2014 Set 4 For an incompressible flow field ,$$\overrightarrow {V,} $$which one of the following conditions must be satisfied? GATE ME 2014 Set 2 A streamline and an equipotential line in a flow field GATE ME 2011 For a continuity equation given$$\nabla .\overrightarrow V = 0$$to be valid,$$\overrightarrow V $$where is the velo... GATE ME 2008 In a steady flow through a nozzle, the flow velocity on the nozzle axis is given by$$u = {u_0}\left( {1 + 3x/L} \right)...
GATE ME 2007
In a two-dimensional velocity field with velocities $$u$$ and $$v$$ along $$x$$ and $$y$$ directions respectively, the c...
GATE ME 2006
A two-dimensional flow field has velocities along the $$x$$ and $$y$$ directions given by $$u = {x^2}t$$ and $$v = - 2x... GATE ME 2006 The velocity components in the$$x$$and$$y$$directions of a two dimensional potential flow are$$u$$and$$v$$, respe... GATE ME 2005 A fluid flow is represented by the velocity field$$\overrightarrow V = ax\,\overrightarrow i + ay\,\overrightarrow j ...
GATE ME 2004
Existence of velocity potential implies that
GATE ME 1994
Circulation is defined as line integral of tangential component of velocity about a _________ (fill in the blank)
GATE ME 1994
For a fluid element in a two dimensional flow field ($$x-y$$ plane), it will undergo
GATE ME 1994
In a flow field, the streamlines and equipotential lines
GATE ME 1994
Streamlines, path lines and streak lines are virtually identical for
GATE ME 1994

## Marks 2

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For a steady flow, the velocity field is $$\overrightarrow V = \left( { - {x^2} + 3y} \right)\widehat i + \left( {2xy} ... GATE ME 2017 Set 1 For a two-dimensional flow, the velocity field is$$\overrightarrow u = {x \over {{x^2} + {y^2}}}\widehat i + {y \over ...
GATE ME 2016 Set 3
The velocity field on an incompressible flow is given by $$V = \left( {{a_1}x + {a_2}y + {a_3}z} \right)i + \left( {{b_... GATE ME 2015 Set 1 Match the following pairs: ... GATE ME 2015 Set 1 Consider a velocity field$$\overrightarrow V = K\left( {y\widehat i + x\widehat k} \right),$$where$$K$$is a constan... GATE ME 2014 Set 4 Consider the following statements regarding streamline(s): (i) It is a continuous line such that the tangent at any poin... GATE ME 2014 Set 4 Velocity vector of a flow fields is given as$$\overrightarrow V = 2xy\widehat i - {x^2}z\widehat j.$$The vorticity ve... GATE ME 2010 You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following th... GATE ME 2009 The gap between a moving circular plate and a stationary surface is being continuously reduced, as the circular plate co... GATE ME 2008 The gap between a moving circular plate and a stationary surface is being continuously reduced, as the circular plate co... GATE ME 2008 Which combination of the following statements about steady incompressible forced vortex flow is correct? P: Shear stres... GATE ME 2007 A leaf is caught in a whirlpool. At a given instant, the leaf is at a distance of$$120m$$from the centre of the w... GATE ME 2005 For a fluid flow through a divergent pipe of length$$L$$having inlet and outlet radii of$${R_1}$$and$${R_2}$$respe... GATE ME 2004 A closed cylinder having a radius$$R$$and height$$H$$is filled with oil of density$$\rho .$$If the cylinder is rot... GATE ME 2004 The$$2$$-$$D$$flow with, velocity$$\overrightarrow v = \left( {x + 2y + 2} \right)\overrightarrow i + \left( {4 ...
GATE ME 2001
The velocity components in the $$x$$ and $$y$$ directions are given by $$u = \lambda x{y^3} - {x^2}y,$$ $$v = x{y^2} - {... GATE ME 1995 A velocity field is given as$$$\overrightarrow V = 3{x^2}y\widehat i - 6xyz\widehat k$$Where$$x,y,z$$are in$$m$$... GATE ME 1993 The stream function in a two dimensional flow field is given by$$\Psi = {x^2} - {y^2}$$The magnitude of the velocity... GATE ME 1989 A Newtonian fluid has the following velocity field :$$$\overrightarrow V = {x^2}y\widehat i + 2x{y^2}z\widehat j - y{...
GATE ME 1988

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