Key result
Mathematical modeling demonstrated that blood flow rate increases with higher pressure gradients and larger cross-sectional areas, while blood pressure decreases as cross-sectional area and blood viscosity increase.
The study provides a mathematical framework using Navier-Stokes equations to simulate and analyze arterial hemodynamics.
May inform hemodynamic education; leaves open clinical validation before influencing practice.
In blood rheology we study volume flow rate, blood pressure, velocity, viscosity and shear stress of blood. Cross-sectional area plays an important role for smooth flow of the blood. But some other parameter like composition of blood, length of vessel also affects in the flow rate and pressure of blood. Velocity and volume flow rate are derived by using Poiseuille’s equation.This work presents a mathematical model of blood flow that was created using the N-S equations and computer simulation. Graphs are used to analyze the results.
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Kafle et al. (2022) studied Hemodynamics. Mathematical modeling and computer simulation was evaluated on Blood flow rate and blood pressure variations. Mathematical modeling demonstrated that blood flow rate increases with higher pressure gradients and larger cross-sectional areas, while blood pressure decreases as cross-sectional area and blood viscosity increase.
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