The selective drug delivery system could be an excellent alternative to fight cancer and pathogens, due to its minimized negative consequences. Radiofrequency hyperthermia treatments are an innovative method attracting attention recently, which is based on heat destruction of cancer cells, using nanofluids. However, for an optimized treatment approach, several factors including thermal conductivity of bio-nanofluid should be studied. Current article investigates the role of Lorentz force on nanomaterial stream between two cylinders which are circular. Non-homogeneous model is utilized for simulating nanomaterial, and Runge–Kutta technique was applied to resolve ordinary differential equations. Moreover, the influence of Brownian motion on the nano-powders feature was studied. The influence of various active terms, such as Hartmann amount, aspect ratio, Re, Eckert number, thermophoresis, Schmidt number, and Brownian terms, is analytically surveyed. Based on obtained results, the amount of velocity increases when Re increases, whereas it decreases as Lorentz force grows. Furthermore, the temperature gradient increases when the value of magnetic field grows; however, it declines as the other terms increase.