Questions Archive - Page 28 of 38

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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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.

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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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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.

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Consider a length of pipe bent into a U-shape. The inside diameter of the pipe is \(0.5\;m\). Air enters one leg of the pipe at a mean velocity of \(100\; m/s\) and exits the other leg at the same magnitude of velocity, but moving in the opposite direction. Calculate the magnitude and direction of the force exerted on the pipe by the airflow.

Consider a length of pipe bent into a U-shape. The inside diameter of the pipe is \(0.5\;m\). Air enters one …

fluids

techAir Asked on 29th October 2019 in Aerodynamics.

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Consider a velocity field where the radial and tangential components of velocity are Vr = 0 and Vθ = cr, respectively, where c is a constant. Is the flow field irrotational? Prove your answer.

Consider a velocity field where the radial and tangential components of velocity are \(V_{r} = 0\) and \(V_{θ} = cr\), …

irrotational flow

Worldtech Asked on 29th October 2019 in Aerodynamics.

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For vortex flow, calculate: (a). The time rate of change of the volume of a fluid element per unit volume. (b). The vorticity.

For vortex flow, calculate: a. The time rate of change of the volume of a fluid element per unit volume. …

vortex flow

techAir Asked on 27th October 2019 in Aerodynamics.

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For source flow, calculate, the time rate of change of the volume of a fluid element per unit volume and the vorticity.

For source flow, calculate: a. The time rate of change of the volume of a fluid element per unit volume. …

source flow

Worldtech Asked on 27th October 2019 in Aerodynamics.

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Consider a velocity field where the \(x\) and \(y\) components of velocity are given by \(u = cx\) and \(v = −cy\), where \(c\) is a constant. Obtain the equations of the streamlines.

Consider a velocity field where the \(x\) and \(y\) components of velocity are given by \(u = cx\) and \(v …

streamlines

techAir Asked on 27th October 2019 in Aerodynamics.

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Consider a velocity field where the radial and tangential components of velocity are \(V_{r} = 0\) and \(V_{θ} = cr\), respectively, where \(c\) is a constant. Obtain the equations of the streamlines.

Consider a velocity field where the radial and tangential components of velocity are \(V_{r} = 0\) and \(V_{θ} = cr\), …

streamlines

Worldtech Asked on 26th October 2019 in Aerodynamics.

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