Repercussions of Local Thermal Non-Equilibrium in Conjunction with Uniform/Non-Uniform Thermal Gradients and Magnetic Flux on the Onset of Darcy-Rayleigh-Benard-Marangoni Convection in a Composite Layer

Repercussions of uniform/non-uniform thermal gradients such as linear, parabolic, inverted piecewise linear gradient heated from below (PLHB), cooled above (PLCA) and step function (SF) in conjunction with magnetic flux on the onset Darcy-Rayleigh-Benard-Marangoni (DRBMM) convection a composite layer involving incompressible fluid holding horizontal adiabatic boundaries, rigid beneath porous free aloft is performed apropos to Local Thermal Non-Equilibrium (LTNE). Regular Perturbation method exercised attain analytical solution acquired problem. For all six gradients, (i) The strength variables solid phase expansion ratio, diffusivity ratio inter-phase that boosts LTNE are analysed (ii) influence change measure physical quantities viz. Chandrasekhar number Marangoni studied.