Theoretical analysis of biofluid through a capillary having linear type of leakage

This research offers the theoretical analysis of biofluid flow through a capillary which is permeable due to reabsorption of different nutrients. Also, reabsorption of nutrients is assumed to be a linear function of capillary length and biofluid in the capillary moves due to the pressure gradient. The biofluid flow through the capillary is modelled by the Kelvin-Voigt model using the finite domain of the rectangular slit. The mathematical model of two-dimensional flow gives the complex nonlinear boundary value problem and resulting nonlinear problem is worked out by the Langlois approach. Explicit formulas are found for the pressure, blood velocity, pattern of the blood flow and shear force required for the blood flow. The findings of nutrients reabsorption from the blood and the impact of linear type of reabsorption on the blood flow is observed through the graphs. It is found from this research that viscoelastic forces retard the pressure, speed, and shear force in the blood. This research finds that the linear type of leakage on the capillary wall is important to study the blood flow as a non-Newtonian fluid flow through capillary is not previously addressed by any scientist.