Find the shape of the surface in a horizontally accelerating fluid container Hint: Assume a fluid...

 

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Find the shape of the surface in a horizontally accelerating fluid container Hint: Assume a fluid static case (i.e. after a steady state is reached). Let's place the origin of the coordinate system at the location where water surface meets the side of the container on the left (see the figure below). Let's consider that the liquid surface is given by the equation z = f(x). Write down the pressure field equations and integrate them to find the pressure everywhere. What is the pressure on the free surface? By setting the pressure equal to this pressure, you should be able to find a relationship between a, z of the free surface. ZA = I f(x) a Figure: A horizontally accelerating water container. Find the shape of the surface in a horizontally accelerating fluid container Hint: Assume a fluid static case (i.e. after a steady state is reached). Let's place the origin of the coordinate system at the location where water surface meets the side of the container on the left (see the figure below). Let's consider that the liquid surface is given by the equation z = f(x). Write down the pressure field equations and integrate them to find the pressure everywhere. What is the pressure on the free surface? By setting the pressure equal to this pressure, you should be able to find a relationship between a, z of the free surface. ZA = I f(x) a Figure: A horizontally accelerating water container.

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We can begin by examining the pressure distribution inside the fluid to determine the surface shape ... View the full answer