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Differential Analysis. Continuity Equation Momentum Equation.

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Presentation on theme: "Differential Analysis. Continuity Equation Momentum Equation."— Presentation transcript:

1 Differential Analysis

2 Continuity Equation

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4 Momentum Equation

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8 Under what conditions?????

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11 So, From continuity equation

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13 where

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17 Simplest type of Couette flow

18 Steady, Laminar Flow in Circular Tubes Probably the best known exact solution to the Navier–Stokes equations is for steady, incompressible, laminar flow through a straight circular tube of constant cross section. This type of flow is commonly called Hagen-Poiseuille flow, or simply Poiseuille flow.

19 Continuity equation

20 Navier Stokes equation

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