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In a flow field, the velocity components are, \(u=\left ( 6x^{2}y+t \right ),v=\left ( 3yx+t^{2}+3 \right )\) and \( w=\left ( 3+3t^2y \right )\). Find the velocity vector and its magnitude at a point \(p\left ( 3,2,4 \right )\) at \(t=5\) . Units of \(x,y,z\) are in meters and time \(t\) is in seconds.
In a flow field, the velocity components are, \(u=\left ( 6x^{2}y+t \right ),v=\left ( 3yx+t^{2}+3 \right )\) and \( w=\left …
fluids

Worldtech Asked on 6th May 2021 in Fluid mechanics.
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A velocity field is given by \(V= 5xyi+8txzj+xzk\). Find the angular velocity about the\( z\)-axis, acceleration and the vorticity at point \((2,3,5)\) at \(t = 3\). Units of \(x,y,z\) are in meters and time – \(t\) is in seconds.
A velocity field is given by \(V= 5xyi+8txzj+xzk\). Find the angular velocity about the\( z\)-axis, acceleration and the vorticity at …
fluids

techAir Asked on 5th May 2021 in Fluid mechanics.
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A velocity field is given by \(V=3yt\hat{i}+5x\hat{j}\). Find the equation of the streamline passing through the point \((5,3)\) at \(t =3\). Units of \(x,y\) are in meters and time-\(t\) is in seconds.
A velocity field is given by \(V=3yt\hat{i}+5x\hat{j}\). Find the equation of the streamline passing through the point \((5,3)\) at \(t …
fluids

streamlines

Kumar59 Asked on 5th May 2021 in Fluid mechanics.
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Find the acceleration of a fluid particle in the \(x\) direction at \((x,y) = (3,1)\) for a velocity field, which is given by\(\vec{V} = 3y\hat{i}+4x\hat{j}\). \(x\) and \(y\) are in meters.
Find the acceleration of a fluid particle in the \(x\) direction at \((x,y) = (3,1)\) for a velocity field, which …
fluids

Kisan Kumar Asked on 5th May 2021 in Fluid mechanics.
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Find the magnitude of velocity at point \((2,3)\) for a two-dimensional flow field whose stream function is given by \(\psi = 2x^{2}-y^{2}\).
Find the magnitude of velocity at point \((2,3)\) for a two-dimensional flow field whose stream function is given by \(\psi …
fluids

stream functions

streamlines

Worldtech Asked on 5th May 2021 in Fluid mechanics.
- 1K views
- 1 answers
- 0 votes

A velocity field is given by \(V= 5xyi+8txzj+xzk\). Find the angular velocity about the\( z\)-axis, acceleration and the vorticity at point \((2,3,5)\) at \(t = 3\). Units of \(x,y,z\) are in meters and time – \(t\) is in seconds.

A velocity field is given by \(V=3yt\hat{i}+5x\hat{j}\). Find the equation of the streamline passing through the point \((5,3)\) at \(t =3\). Units of \(x,y\) are in meters and time-\(t\) is in seconds.

Find the acceleration of a fluid particle in the \(x\) direction at \((x,y) = (3,1)\) for a velocity field, which is given by\(\vec{V} = 3y\hat{i}+4x\hat{j}\). \(x\) and \(y\) are in meters.

Find the magnitude of velocity at point \((2,3)\) for a two-dimensional flow field whose stream function is given by \(\psi = 2x^{2}-y^{2}\).

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