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Stability analysis of multiple solutions in case of a stretched nanofluid flow obeying Corcione's correlation: An extended Darcy model
Author(s) -
Kumar Rakesh,
Sharma Tanya,
Kumar Ravinder,
Sheikholeslami Mohsen,
Vajravelu Kuppalapalle
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000172
Subject(s) - nanofluid , homotopy analysis method , materials science , porous medium , porosity , permeability (electromagnetism) , mechanics , darcy's law , darcy number , flow (mathematics) , volumetric flow rate , nanoparticle , thermodynamics , convection , mathematics , composite material , homotopy , chemistry , physics , nanotechnology , natural convection , rayleigh number , biochemistry , membrane , pure mathematics
The bi‐dimensional flow of a F e 3 O 4 ‐water nanofluid perfusing a porous medium has been considered for investigation. The porous space is in contact with a constantly heated sheet stretching at a linear rate. To simulate the nanofluid flow through the pores, an extended Darcy model due to Brinkman and Forchheimer is utilized considering porosity and permeability effects in a convective environment. Corcione's model for effective dynamic viscosity of the nanoparticle mixture is exploited to deduce the effects of nanoparticle size on the flow. Multiple solutions to governing equations are obtained by availing the optimal homotopy asymptotic scheme and discussed for emerging parameters. A unique stable solution is determined availing a stability analysis approach. The heat movement rate is found to be increasing with the reduced nanoparticle size and the enhanced porosity of porous space.