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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 … Asked on 6th May 2021 in • 62 views • 1 answers • 0 votes • ## Find the angular velocity about the \(z$$-axis, acceleration and the vorticity at point $$(2,3,5)$$ at $$t = 3$$ seconds.

A velocity field is given by $$V= 5xyi+8txzj+xzk$$. Find the angular velocity about the$$z$$-axis, acceleration and the vorticity at …

Asked on 5th May 2021 in
• 63 views

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 … Asked on 5th May 2021 in • 75 views • 1 answers • 0 votes • ## Find the acceleration of a fluid particle in the \(x$$ direction.

Find the acceleration of a fluid particle in the $$x$$ direction at $$(x,y) = (3,1)$$ for a velocity field, which …

Asked on 5th May 2021 in
• 71 views

Find the magnitude of velocity at point $$(2,3)$$ for a two-dimensional flow field whose stream function is given by $$\psi … Asked on 5th May 2021 in • 62 views • 1 answers • 0 votes • ## Bernoulli’s principle and equation What is Bernoulli’s theorem ? Asked on 8th December 2020 in • 125 views • 1 answers • 0 votes • ## Prove that the lift per unit span can be obtained from the pressure distributions on the top and bottom walls of the wind tunnel. Consider an airfoil in a wind tunnel (i.e., a wing that spans the entire test section). Prove that the lift … Asked on 31st October 2019 in • 519 views • 1 answers • 0 votes • ## 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 … Asked on 31st October 2019 in • 305 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 …

Asked on 30th October 2019 in
• 1K views
• ## 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 …