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A Novel Fluid Dynamics Model for Tube Flow with Obstacles and Its MATLAB Implementation

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In [1] the variational principle of the extremum for a viscous incompressible and compressible fluid is proposed, from which it follows that the Navier-Stokes equations are the conditions for the unique extremum of a certain functional. A method is also proposed for the search for this extremum, which is simultaneously a method for solving these equations.
Here we based on this method describe the program for calculating the Fluid Flow in Tube with Obstacle – calculating the velocity and pressure of the liquid at all points of the tube.

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Solomon I. Khmelnik

Paperback

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