In this research, Fe3O4–water nanofluid flow in a permeable medium under the influence of external magnetic source is simulated. Effect of nanoparticle's shape on thermal conductivity is taken into consideration. CVFEM is employed to solve the final equations which are obtained with vorticity stream function formulation. Figures are depicted for various values of Darcy number
(
D
a
)
, radiation parameter
(
R
d
)
, Fe3O4–water volume fraction (ϕ), Rayleigh
(
R
a
)
and Hartmann
(
H
a
)
numbers. Results demonstrate that Greatest Nusselt number obtains for Platelet shaped Fe3O4 nanoparticle. Increasing in Hartmann number results in decreasing in velocity of nanofluid and Nusselt number.
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