M. L. Kaurangini, Basant K. Jha. Unsteady Generalized Couette Flow in Composite Microchannel[J]. Applied Mathematics and Mechanics, 2011, 32(1): 22-32. doi: 10.3879/j.issn.1000-0887.2011.01.003
Citation: M. L. Kaurangini, Basant K. Jha. Unsteady Generalized Couette Flow in Composite Microchannel[J]. Applied Mathematics and Mechanics, 2011, 32(1): 22-32. doi: 10.3879/j.issn.1000-0887.2011.01.003

Unsteady Generalized Couette Flow in Composite Microchannel

doi: 10.3879/j.issn.1000-0887.2011.01.003
  • Received Date: 2010-08-30
  • Rev Recd Date: 2010-11-22
  • Publish Date: 2011-01-15
  • A numerical study was reported to investigate the unsteady fully developed laminar fluid flow in microchannel parallel-plates partially filled with uniform porous medium and partially with a clear fluid. The flow was induced by the movement of one of the plates and pressure gradient.Brinkman-Extended Darcy model was utilized to model the flow in porous region while Stokes equation was used in the clear fluid region.A theoretical analysis was also presented for the steady fully developed flow to find the closed form expressions for interfacial velocity,the velocity and skin frictions at the bounding plates.During the course of numerical computations,it is observed that there is an excellent agreement between the closed form solutions for steady fully developed flow with numerical solution of unsteady flow at large values of time.
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