Fluid flow within porous media is essential for a range of engineering applications. This study delves into the role of dynamic capillary pressure in accurately modeling fluid flow behavior. To tackle this, our research utilizes innovative methodologies to delve into the dynamic changes in capillary pressure. By integrating dynamic capillary pressure into our analysis, we unlock fresh insights into the intricate fluid flow behavior witnessed in porous media. Through an extensive review of literature and experimental inquiries, we identify pivotal factors influencing dynamic capillary pressure and shed light on their implications for porous medium equations. Case study with examples illustrating the dynamic impact of capillary pressure in oil-water two-phase systems is discussed. Our findings underscore the significance of incorporating dynamic capillary pressure into fluid flow modeling and pinpoint avenues for future research in this swiftly evolving domain.