The current study treats the magnetic field impacts on the mixed convection flow within an undulating cavity filled by hybrid nanofluids and porous media. The local thermal non-equilibrium condition below the implications of heat generation and thermal radiation is conducted. The corrugated vertical walls of an involved cavity have [Formula: see text] and the plane walls are adiabatic. The heated part is put in the bottom wall and the left-top walls have lid velocities. The controlling dimensionless equations are numerically solved by the finite volume method through the SIMPLE technique. The varied parameters are scaled as a partial heat length (B: 0.2 to 0.8), heat generation/absorption coefficient (Q: - 2 to 2), thermal radiation parameter (Rd: 0-5), Hartmann number (Ha: 0-50), the porosity parameter (ε: 0.4-0.9), inter-phase heat transfer coefficient (H*: 0-5000), the volume fraction of a hybrid nanofluid (ϕ: 0-0.1), modified conductivity ratio (kr: 0.01-100), Darcy parameter [Formula: see text], and the position of a heat source (D: 0.3-0.7). The major findings reveal that the length and position of the heater are effective in improving the nanofluid movements and heat transfer within a wavy cavity. The isotherms of a solid part are significantly altered by the variations on [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. Increasing the heat generation/absorption coefficient and thermal radiation parameter is improving the isotherms of a solid phase. Expanding in the porous parameter [Formula: see text] enhances the heat transfer of the fluid/solid phases.
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