ANALYTICAL SOLUTION FOR TRANSIENT ONEDIMENSIONAL COUETTE FLOW CONSIDERING CONSTANT AND TIME-DEPENDENT PRESSURE GRADIENTS

Authors

  • A. A. Mendiburu Universidade Estadual Paulista “Júlio Mesquita Filho”
  • L. R. Carrocci Universidade Estadual Paulista “Júlio Mesquita Filho”
  • J. A. Carvalho Universidade Estadual Paulista “Júlio Mesquita Filho”

DOI:

https://doi.org/10.5380/reterm.v8i2.61921

Keywords:

Couette flow, transient, parallel plates, incompressible fluid

Abstract

This paperaims to determine the velocity profile, in transient state, for a parallel incompressible flow known as Couette flow. The Navier-Stokes equations were applied upon this flow. Analytical solutions, based in Fourier series and integral transforms, were obtained for the one-dimensional transient Couette flow, taking into account constant and time-dependent pressure gradients acting on the fluid since the same instant when the plate starts it´s movement. Taking advantage of the orthogonality and superposition properties solutions were foundfor both considered cases. Considering a time-dependent pressure gradient, it was found a general solution for the Couette flow for a particular time function. It was found that the solution for a time-dependent pressure gradient includes the solutions for a zero pressure gradient and for a constant pressure gradient.

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Published

2009-12-31

How to Cite

Mendiburu, A. A., Carrocci, L. R., & Carvalho, J. A. (2009). ANALYTICAL SOLUTION FOR TRANSIENT ONEDIMENSIONAL COUETTE FLOW CONSIDERING CONSTANT AND TIME-DEPENDENT PRESSURE GRADIENTS. Revista De Engenharia Térmica, 8(2), 92–98. https://doi.org/10.5380/reterm.v8i2.61921

Issue

Vol. 8 No. 2 (2009)

Section

Ciência/Science

License

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