Abstract
The linear and nonlinear onset of convection in a viscoelastic nanofluid saturated densely packed horizontal rotating porous layer heated from below and cooled from above is investigated by considering the Oldroyd-B type fluid. The Brinkman model is used to simulate conservation of momentum in the porous medium. The temperature of the three phases—porous matrix, fluid, and nanoparticles— is considered to be under local thermal non-equilibrium, that is, the three phases have there own temperature equations. Linear stability analysis is performed using a one-term Galerkin scheme, while a minimal representation of the truncated Fourier series, involving only two terms, has been utilized for nonlinear analysis. The feasible range of new dimensionless parameters has been predicted using available experimental range of thermo-physical properties of alumina and ethylene-glycol. Obtained results have been presented graphically and discussed in detail.
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