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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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- 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 \(V= 5xyi+8txzj+xzk\). 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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- 1 answers
- 0 votes
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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- 1 answers
- 0 votes
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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- 1 answers
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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
Bernoulli’s Principle and Equation:
What is Bernoulli’s theorem?
Boundary layer

fluids

incompressible flow

lift

streamlines

techAir Asked on 8th December 2020 in Fluid dynamics.
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- 1 answers
- 0 votes
Consider an airfoil in a wind tunnel (i.e. a wing that spans the entire test section). Prove that the lift per unit span can be obtained from the pressure distributions on the top and bottom walls of the wind tunnel (i.e., from the pressure distributions on the walls above and below the airfoil).
Consider an airfoil in a wind tunnel (i.e., a wing that spans the entire test section). Prove that the lift …
fluids

techAir Asked on 31st October 2019 in Aerodynamics.
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- 1 answers
- 0 votes
Consider a body of arbitrary shape. If the pressure distribution over the surface of the body is constant, prove that the resultant pressure force on the body is zero.
Consider a body of arbitrary shape. If the pressure distribution over the surface of the body is constant, prove that …
fluids

Worldtech Asked on 31st October 2019 in Aerodynamics.
- 1K views
- 1 answers
- 0 votes
Calculate the stream function and velocity potential.Using your results, show that lines of constant \( \phi\) are perpendicular to lines of constant \(\psi\).
Assuming the velocity field given as \(u = cx\) and \(v = −cy\), where \(c\) is a constant pertains to …
fluids

techAir Asked on 30th October 2019 in Aerodynamics.
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- 1 answers
- 0 votes
Consider a flow field in polar coordinates, where the stream function is given as \(ψ = ψ(r, θ)\). Starting with the concept of mass flow between two streamlines, derive Equations \(\rho V_{r}=\frac{1}{r}\frac{\partial \bar{\psi }}{\partial \theta}\) and \(\rho V_{\theta}=-\frac{\partial\bar{\psi} }{\partial r}\).
Consider a flow field in polar coordinates, where the stream function is given as \(ψ = ψ(r, θ)\). Starting with …
fluids

Worldtech Asked on 30th October 2019 in Aerodynamics.
- 1K views
- 1 answers
- 0 votes

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