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glebovg
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If the velocity in a two-dimensional flow is given as [itex]\vec u = \left\langle {u(y),v(y),0} \right\rangle[/itex]. Why must [itex]v[/itex] be constant? I am not sure where to start. Can anyone help?
glebovg said:If the velocity in a two-dimensional flow is given as [itex]\vec u = \left\langle {u(y),v(y),0} \right\rangle[/itex]. Why must [itex]v[/itex] be constant? I am not sure where to start. Can anyone help?
The velocity of two-dimensional flow refers to the speed and direction at which a fluid is moving in a two-dimensional space, such as in a plane or on a surface.
The velocity of two-dimensional flow is typically calculated using the continuity equation, which states that the product of the cross-sectional area and the velocity of a fluid must remain constant at any point in a flow. This equation can be solved using various mathematical methods, such as the Navier-Stokes equations or the Bernoulli equation.
The velocity of two-dimensional flow can be influenced by a variety of factors, including the density and viscosity of the fluid, the shape and size of the object or surface the fluid is flowing over, and any external forces acting on the fluid.
In two-dimensional flow, the velocity of the fluid is only dependent on the coordinates in the plane of flow, whereas in three-dimensional flow, the velocity is dependent on all three coordinates. This means that the velocity profile in two-dimensional flow can vary in two dimensions, while in three-dimensional flow it can vary in all three dimensions.
Yes, the velocity of two-dimensional flow can be measured experimentally using various techniques such as flow visualization, laser Doppler anemometry, or particle image velocimetry. These methods allow for the visualization and measurement of the velocity field of a fluid in a two-dimensional space.