HagenPoiseuillekaavan
HagenPoiseuillekaavan is a theoretical framework in fluid dynamics that extends the classical Hagen-Poiseuille model of laminar flow in circular pipes by incorporating a Kaavan correction. It is used to analyze steady and slowly varying flows in microchannels and small biological vessels where viscosity, wall elasticity, and pulsatile pressure deviate from ideal conditions. The term combines the names of Hagen and Poiseuille with "Kaavan," a fictional or generalized parameter that captures non-Newtonian behavior, wall compliance, and flow pulsatility.
In its mathematical form, the standard Hagen-Poiseuille relation Q = (π ΔP r^4) /(8 μ L) is modified to
The Kaavan parameter is a composite, often defined to include wall compliance, pulsatility (via a Womersley-like
Applications include microfluidic device design, biomedical modeling of capillaries and artificial vessels, and soft robotics where