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

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Presentation transcript:

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

Pressure variation in a static fluid

Consider a differential element in a viscous fluid

Navier Stokes Equations N-S-E in index notation

Navier Stokes Equations In 3-d

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

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

Darcy’s observation & Law

One form of Darcy law

Constant head permeameter

Falling head permeameter

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