Abstract
Targeted drugging in view of diseases, such as cancer, diabetes, and cardiovascular diseases. etc., has become vitally important. This theoretical analysis intricates the transport of drugs using Peristaltic micro-pumps and is controlled by a magnetic field in pharmacological engineering. The current article analyzed small drug particles embedded in a non-Newtonian fluid in a partially permeable space enclosed between flexible walls. To control the transport process magnetic force lines are applied at a right angle to the flow direction. The transportation of liquid along with drug particles due to the peristaltic movement of walls of a channel is modeled, simulated, and analyzed. Considering the flow assumptions and conditions, a second-order system of partial differential equations (PDEs) is devised to describe the flow. The numerical simulation using pdepe is established and graphically displayed for the effects of different parameters.