Non Newtonian conjugate heat transfer under the impact of uniform and non-uniform magnetic field along with heat absorption/production inside a two-dimensional chamber containing a block at different temperatures; An entropy analysis with LBM

In the present work the amount of entropy produced due to the conjugate heat transfer of power-law fluids during natural convection within the inclined chamber under magnetic field and heat absorption/production is investigated. Outcomes:1-The flow power,the amount of heat transfer and the entropy produced decrease with increasing Hartmann number, decreasing Rayleigh number and increasing the fluid power-law index.2-As the power-law index decreases,the influence of the magnetic field becomes more pronounced.The mean Nusselt number decreases by about 52% for shear thinning fluid and by about 18% for dilatant fluid by increasing the Hartmann number to the highest value.3-To achieve a current with higher power and higher average Nusselt number,the magnetic field can be used non-uniformly,especially TMF1. The larger the Hartmann number, the more pronounced the change in the type of magnetic field applied.The influence of the change in the type of magnetic field applied to the shear thickening fluid is minimal.4-As the thermal conductivity ratio increases, the maximum mean Nusselt number is obtained, in which case the impact of increasing the Hartmann number and the Rayleigh number becomes more pronounced.5-The minimum amount of heat transfer, current strength and magnetic field influence is obtained when the chamber is at an angle of +90 degrees,in which case the average Nusselt number is up to about 82% less than the zero angle.6-The Bejan number increases with increment of heat absorption/production coefficient,increasing Hartmann number, decreasing Rayleigh number and decrement of thermal conductivity ratio,and maximum the Bejan number is obtained at an angle of +90 degrees.