A fluid is initially at rest between two horizontal, infinite (into the page), p

Question

A fluid is initially at rest between two horizontal, infinite (into the page), parallel plates as shown. A constant pressure gradient in a direction parallel to the plates is suddenly applied and the fluid starts moving. Using Navier-Stokes and continuity equations, determine the appropriate differential equations (simplified x, y and z of Navier-Stokes) and the initial condition and boundary conditions that govern this type of flow. Show your work. You do not need to solve the equations.

A fluid is initially at rest between two horizontal, infinite (into the page), parallel plates as shown. A constant pressure gradient in a direction parallel to the plates is suddenly applied and the fluid starts moving. Using Navier-Stokes and continuity equations, determine the appropriate differential equations (simplified x, y and z of Navier-Stokes) and the initial condition and boundary conditions that govern this type of flow. Show your work. You do not need to solve the equations.

Explanation / Answer

A fluid is initially at rest between two horizontal, infinite (into the page), p

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