Studying the effects of electro-osmotic and several parameters on blood flow in stenotic arteries using CAGHPM

Abstract

In this investigation, a new approach is proposed to study blood flow through a stenotic artery under the impact of electro-osmosis and several other main parameters. The new approach depends on the Chebyshev series, the Akbari-Ganji method, and the new homotopy perturbation method named the Chebyshev Akbari-Ganji homotopy perturbation method (CAGHPM). The validity of the proposed method was ensured by the good agreement of its results with the results obtained by other methods mentioned in previous studies. The influences of the electro-osmotic parameter and the Helmholtz-Smoluchowski velocity, as well as the inclination angle, magnetic field, porosity, and chemical reaction, are discussed in terms of the velocity, temperature, wall shear stress, and concentration of blood flow. The results obtained by using the CAGHPM are more accurate than those obtained by other methods used to solve the current problem. Furthermore, error tables, figures, and convergence analysis theoretically and computationally show the efficiency and effectiveness of the proposed new method.

Keywords

• Akbari-Ganji method
• Homotopy perturbation method
• Chebyshev series
• Magnetic field
• Heat transfer
• Convergence analysis