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Natural convection in a cubical differentially heated porous cavity filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless vector potential functions and temperature taking into account the Darcy−Boussinesq approximation. The Tiwari and Das' nanofluid model with new, more realistic empirical correlations for the physical properties of the nanofluids has been used for numerical analysis. The governing equations have been solved numerically on the basis of a second-order accurate finite difference method with nonuniform mesh. The results have been presented in terms of the three-dimensional velocity and temperature fields, streamlines, and isotherms at middle cross section, average and local Nusselt numbers at hot wall for a wide range of key parameters.