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Lecture 4 Pressure variation in a static fluid N.S. Equations & simple solutions Intro DL.

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Presentation on theme: "Lecture 4 Pressure variation in a static fluid N.S. Equations & simple solutions Intro DL."— Presentation transcript:

1 Lecture 4 Pressure variation in a static fluid N.S. Equations & simple solutions Intro DL

2 Pressure variation in a static fluid

3 Consider a differential element in a viscous fluid

4 Navier Stokes Equations N-S-E in index notation

5 Navier Stokes Equations In 3-d

6 Navier Stokes Equations Governing equations for flow of viscous fluids (equations of motion) Governing equations for flow of viscous fluids (equations of motion)

7 Flow through Simple geometries Capillary tube Capillary tube Between parallel plates Between parallel plates

8 Darcy’s observation & Law

9 One form of Darcy law

10 Constant head permeameter

11 Falling head permeameter

12


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