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Squeezing flow between parallel plates

Quetschströmung zwischen parallelen Platten

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Summary

The flow between two parallel plates (rectangular or circular) approaching or receding from each other symmetrically is analysed. The Xavier-Stokes equations have been transformed into an ordinary differential equation using a similarity transformation and the resulting equations are solved numerically. Results for the velocity components, pressure distribution and shearing stress on the wall are presented. In the case of squeezing flow between two circular plates the load supporting capacity of the upper plate has been calculated.

Übersicht

Untersucht wird die Strömung zwischen zwei parallelen Rechteck- bzw. Kreisplatten, die sich einander nähern oder entfernen. Die Navier-Stokes-Gleichungen werden durch eine Ähnlichkeitstransformation in eine gewöhnliche Differentialgleichung überführt. Die Lösung erfolgt numerisch. Ergebnisse für die Geschwindigkeitskomponenten, die Druckverteilung und die Wandschubspannung werden vorgestellt. Für die Quetschströmung zwischen zwei Kreisplatten wird die Tragkraft bestimmt.

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References

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Singh, P., Radhakrishnan, V. & Narayan, K.A. Squeezing flow between parallel plates. Ing. arch 60, 274–281 (1990). https://doi.org/10.1007/BF00577864

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Keywords

  • Differential Equation
  • Neural Network
  • Shear Stress
  • Complex System
  • Ordinary Differential Equation