Unsteady gaseous Poiseuille slip flow in rectangular microchannels

  • Dennis A. SiginerEmail author
  • F. Talay Akyildiz
  • Mhamed Boutaous
Technical Paper


Unsteady slip flow of an incompressible gaseous fluid in a rectangular microchannel subject to a sudden time-dependent pressure drop is investigated via the generalized integral transform method. Three novel analytical solutions of the governing partial differential equations corresponding to first- and second-order slip models are derived. These can be used in the experimental determination of the constant slip length for any fluid–solid combination. All unsteady flow patterns asymptotically reach the fully developed state for each problem considered in the present investigation.


Microfluidics First-order slip Second-order slip Rectangular microchannel Experimental determination of slip lengths Integral transform method 



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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  • Dennis A. Siginer
    • 1
    • 2
    • 3
    Email author
  • F. Talay Akyildiz
    • 4
  • Mhamed Boutaous
    • 5
  1. 1.Departamento de Ingeniería Mecánica, Centro de Investigación en Creatividad y Educación SuperiorUniversidad de Santiago de ChileSantiagoChile
  2. 2.Department of Mathematics and Statistical SciencesBotswana International University of Science and TechnologyPalapyeBotswana
  3. 3.Department of Mechanical, Energy and Industrial EngineeringBotswana International University of Science and TechnologyPalapyeBotswana
  4. 4.Department of Mathematics and Statistics, Faculty of ScienceAl-Imam UniversityRiyadhSaudi Arabia
  5. 5.UMR5008, CETHIL, INSA-Lyon, CNRSUniversité de LyonVilleurbanneFrance

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