Stability analysis of multiple solutions in case of a stretched nanofluid flow obeying Corcione's correlation: An extended Darcy model

Abstract

The bi‐dimensional flow of a Fe3O4‐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.

Triple stratification effects on bioconvective stagnation point flow pertaining carbon nanotubes due to induced magnetic field

“…An analytical approach to study the significance of the Hall current and Soret effect on the nanoliquid flow through an inclined channel utilizing the Tiwari-Das model was carried out by Sabu et al [5]. A few recent studies on the nanomaterial flow through heterogeneous configurations can be seen in [6][7][8][9][10].…”

Mathematical modeling of graphene–PDMS Maxwell nanofluid flow over a stretching surface: A study on the efficient energy management†

“…We find numerous different models for nanofluid flow over a stretching sheet in the literature as presented in Refs. [9][10][11][12][13][14][15][16]. A more comprehensive list of articles on the applications of nanofluid flow problem can be found in Refs.…”