Numerical solution of theproblem of steady fluid flow in a flat slotted gap

Authors: Alekseev D.I.
Published in issue: #10(63)/2021
DOI: 10.18698/2541-8009-2021-10-744
Category: Power, Metallurgic and Chemical Engineering | Chapter: Nuclear power plant
Keywords: layered motion, density, dynamic viscosity, numerical methods, boundary conditions, checkerboard mesh, pressure gradient, solution convergence
Published: 16.11.2021

For a flow in channels of simple geometry, the solution of the Navier-Stokes equations can be obtained analytically. However, for most practically important cases of flow in complex technical objects, their solution can only be obtained using numerical methods. This approach has been implemented in this article on the example of a flat layered stabilized flow in a channel. To implement this task on the basis of the SIMPLE (Semi-Implicit Method for Pressure-Linked Equations) algorithm, a program in the Pascal language was created, which, obtains a convergent solution with an 2% accuracy by an iterative method. Based on the results of the work, a comparison of the numerical solution with the exact one is carried out.

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