This article addresses, effects of a magneto-fluid through a Darcy flow model with oscillatory wavy walled whose inner surface is ciliated. The equations that governing the flow are modeled without using any approximations. Adomian Decomposition Method (ADM) is used to evaluate the solution of our system of nonlinear partial differential equations. Stream function, velocity and pressure gradient components are obtained by using the vorticity formula. The effects for our arbitrary physical parameters on flow characteristics are analyzed by plotting diagrams and discussed in details. With the help of stream lines the trapping mechanism has also been discussed. The major outcomes for the ciliated channel walls are: The axial velocity is higher without a ciliated walls than that for a ciliated walls and an opposite behaviour is shown near the ciliated channel walls. The pressure gradients in both directions are higher for a ciliated channel walls. More numbers of the trapped bolus in the absent of the eccentricity of the cilia elliptic path

Most computational models assumed that blood flow through the stenosis flow in a straight tube. Actually, arteries or blood vessels are rarely straight conduits and stenosis on bends or curves is not uncommon but occurs in the aorta, subclavian artery, and other curved arteries. Therefore, this paper's mathematical modeling of blood flow was done through curvilinear coordinates. The motivation of this paper is to study the effect of double-diffusion convection through curved artery having stenosis and aneurysm regions, the blood flow is modeled as nano-Bingham Papanastasiou fluid under the influence of the electro-osmotic field. Governing equations of the flow are derived using the mild stenosis approximation and solved numerically using the finite difference method. Velocity, temperature, concentration, nanoparticle volume fraction, flow rate, impedance, and shear stress at the throat of aneurysm and stenosis through curved artery are computed numerically and the results are represented graphically. The flow through straight arteries is included as a special case of curved arteries at $k\to \mathrm{\infty }$. Finally, the flow rate in the straight arteries is more than in curved, but shear stress and impedance are greater in curved than the straight arteries. The blood flow velocity is improved in the presence of the electro-osmotic field.