A linear and nonlinear stability analysis of a viscoelastic fluid in a porous medium layer saturated by a nanofluid with thermal conductivity and viscosity dependent on the nanoparticle volume fraction is studied. To simulate the momentum equation in porous media, a modified Darcy model has been used. To describe the rheological behavior of viscoelastic nanofluids, an Oldroyd-B type constitutive equation has been used. The onset criterion for stationary and oscillatory convection is derived analytically. The nonlinear theory based on the truncated representation of Fourier series method is used to find the transient heat and mass transfer.
Onset of Convection in a Porous Medium Layer Saturated With an Oldroyd-B Nanofluid
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 4, 2015; final manuscript received May 20, 2016; published online September 13, 2016. Assoc. Editor: Andrey Kuznetsov.
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Umavathi, J. C., and Prathap Kumar, J. (September 13, 2016). "Onset of Convection in a Porous Medium Layer Saturated With an Oldroyd-B Nanofluid." ASME. J. Heat Transfer. January 2017; 139(1): 012401. https://doi.org/10.1115/1.4033698
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