EXACT ANALYSIS OF UNSTEADY CONVECTIVE DIFFUSION ON SYNOVIAL FLUID WITH COMBINED EFFECTS OF MAGNETIC AND ELECTRIC FIELDS

A mathematical model describing the impact of electromagnetic fields on human joint cartilaginous cells and the nutrients that go from synovial fluid to the cartilage are examined in this study. With dimensionless time, the dispersion coefficient rises. It helps quantify the transport of nutrients to the synovial joint and provides insight into the efficiency of nutrient delivery within the joint cavity. Compared with high-molecular-weight solutes, low-molecular-weight solutes have a lesser concentration distribution at the same depth in articular cartilage. Therefore, for low-molecular-weight solutes, nutrition transport is dominated by diffusion, while for high-molecular-weight solutes, nutrition transport is dominated by a mechanical pumping action. It also predicts that the concentration in the articular cartilage would decrease as the electric field, Hartmann number, and rheological parameter rise. This might have adverse effects because the cartilage cells receive less nutrition. For various parameters, including the electric field, Hartmann number, porosity parameter, and rheological parameter of gel formation, the dispersion coefficient and mean concentration are calculated and shown graphically.