The purpose of this research work is to find out the effect of the joule heating on the flow, heat, and mass transfer characteristics of an MHD ternary hybrid nano-fluid across two parallel plates. This study examines the behavior of a ( Fe 2 O 4 ,  Cu ,  and Si O 2 )/water as a base fluid. The leading flow equation are obtained in the form of PDE’s and by similarity transformation can be converted into ODE’s. Thermal radiation and thermophoresis’s effects Microorganisms and chemical reactions are also taken into consideration in this study, along with Brownian motion in the channel wall. After using the appropriate similarity transformation, we obtained the non-linear ODE’s. Numerical methods are employed for the solution of the problem. Utilizing the BVP4C approach, these equations are numerically solved while taking into account the related boundary conditions. Research is carried out on how the properties of heat and mass transmission are influenced by the magnetic field, rotational parameter, Reynold number, Eckert number, Lewis number, Schmidt number, peclet number, thermophoresis parameter, thermal radiation, and Brownian motion as discussed graphically. The fixed parameters are plotted and discussed graphically, Nussle number has directly related to the radiation parameter and the Reynold number, and it is indirectly related to other embedded parameters. It turns out that the concentration boundary layer thickens with increasing thermophoresis, but the boundary layer thickens with rising mass transfer rate. Lewis number influences a decrease in the density of gyrostatic microorganisms, which reduces the amount of microbial suspension in the boundary layer thickness. Tables/graphs provide an interpretation of the physical effects of different physical factors and imbedded parameters on ternary hybrid nano-fluids like skin fraction, Nussle number and density of motile microbial suspension by using MATLAB.