A LBM entropy calculation caused by hybrid nanofluid mixed convection under the effect of changing the kind of magnetic field and other active/passive methods

•Passive and active methods are examined on entropy generation and heat transfer of novel cavity.•Magnetic field is applied uniformly and non-uniformly in three different shapes in two different angles.•The MRT-LBM is used for solving governing equations.•The investigated cavity contains hybrid nanofluid (H2O + Al2O3 + Cu) The aim of this numerical study is to research the amount of effectiveness of the active methods (Exert of magnetic field as uniform/non-uniform and absorption/generation of heat uniformly) and passive methods (changing the direction of wall movement and mixing the nanoparticles in the pure fluid) on mixed convection. This research, which done based on the first and second laws of thermodynamics and via multi relaxation time lattice Boltzmann, determines the amount of heat transfer and entropy inside a trapezoidal cavity with two movable lids. According to the research findings: Enhancement of Re leads to reduce the impact of increasing HN in reducing the mean Nu. To achieve a stronger current (up to 53 %) and a higher value of the mean Nu (up to 19 %), it can benefit from changing KMF applied in terms of KMF1. If the power of MF increases, this impact can be exhibited more noticeably. Unlike production of heat mode, for CHAG