The notion of this paper is to analyse the bidimensional, steady flow of a dusty fluid over a heated plate with varied fluid properties and magnetic fields. The boundary layer flow directed by Lapwood–Forcheimer–Brinkman extended Darcy model and Lorentz force are highly coupled and nonlinear. Similarity terms convert these nonlinear partial differential equations to higher‐order ordinary differential equations. These higher order ordinary differential equations (ODEs) are converted to first order ODE by the numerical technique called the shooting technique. Temperature, concentration, and velocity are portrayed for various pertinent parameters, and it is spotted that due to the particles in the fluid, the heat transfer speeds up and temperature and concentration decrease. Nusselt number, Skin fiction, and Sherwood number also have been discussed here. The results are in keeping with the existing results. In understanding the thermal characteristic of various effects, it was seen that thermogeometric plate, radiation conduction is very useful for many industrial applications.