Lagrangian motion (force on a plate)

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SUMMARY

The discussion focuses on solving a problem related to Lagrangian motion, specifically calculating the drag force acting on a flat plate using continuity principles. The problem involves a 2m wide plate with a uniform external velocity and a fluid density of 1.23 kg/m³. Participants emphasize the need to apply the continuity equation, represented as ∂p/∂t = 0, and the force momentum equation to derive the solution. The challenge lies in correctly implementing these concepts to analyze the flow dynamics around the plate.

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  • Understanding of Lagrangian motion principles
  • Familiarity with fluid dynamics concepts, particularly continuity equations
  • Knowledge of drag force calculations in fluid mechanics
  • Proficiency in applying control volume analysis in fluid flow problems
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  • Study the application of the continuity equation in fluid dynamics
  • Learn about drag force calculations on flat surfaces in various flow conditions
  • Explore control volume analysis techniques for fluid mechanics problems
  • Investigate Lagrangian vs. Eulerian approaches in fluid motion analysis
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Students and professionals in mechanical engineering, fluid dynamics researchers, and anyone involved in analyzing forces on surfaces in fluid flow scenarios.

ponjavic
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I am trying to solve this problem using lagrangian motion but I have no idea how to use it.

It can be solved using mass conservation and force momentum equation but we are supposed to solve it with continuity.

How would I go about this?

Continuity:

[tex]\frac{ Dp }{Dt} = \delta u / \delta x + \delta v / \delta y + \delta w / \delta z[/tex]

Now the problem is this:

Calculate the drag force acting on the flat 2m wide plate. Outside the viscous region the velocity is uniform. Use density = 1.23kg/m^3

What I can say is that, [tex]\frac{ \delta p }{\delta t} = 0[/tex]

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Nobody with a clue on this one?

The exact question states:

b) Solve the problem using a control volume with the upper boundary a streamline (no mass flux crosses a streamline)
 

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