Steady Newtonian fluid flow in nephritis with linear dripping at the walls

ABSTRACT Flow dynamics in nephritis have gained much attention in applied mathematics. In the present article, an extracellular steady Newtonian fluid flow with linear absorption at walls is discussed. A mathematical model is made to discuss the flow through nephritis in rats under different conditions. A nephrotoxic serum is injected in the nephritis of rats, which affects the flow rate Q_o, Velocity profile, trans-glomerular pressure gradient, and wall shear at different positions in the nephritis. The designed problem is highly non-linear and not possible to find the exact solution, so an Adomian Decomposition method is used to find an approximate solution and discussed graphically. Moreover, the flow rate causes some contraction near the wall, but re-absorption directly affects the velocity irrespective of the position and contributes to the pressure drop which naturally helps to make the flow moderate to normal when a nephrotoxic serum is injected, and the flow rate directly affects the shear stress.