Effects of nanoparticles on the peristaltic motion of tangent hyperbolic fluid model in an annulus

• Main Authors: S. Nadeem, Hina Sadaf, Noreen Sher Akbar
• Format: Article
• Language: English
• Published: Elsevier 2015-12-01
• Series: Alexandria Engineering Journal
• Subjects: Peristaltic flow; Annulus; Homotopy perturbation method; Adomian decomposition method; Tangent hyperbolic fluid model and comparison
• Online Access: http://www.sciencedirect.com/science/article/pii/S1110016815001064

In the present article, effects of nanoparticles on the peristaltic flow of tangent hyperbolic fluid in an annulus are described. The two-dimensional equations of tangent hyperbolic fluid are solved by using the assumptions of low Reynolds number and long wavelength. Analytical solution is obtained with the help of homotopy perturbation and Adomian decomposition method for velocity, temperature and nanoparticles concentration. Solutions are discussed through graphs. Solutions for pressure rise, temperature, nanoparticles concentration, pressure gradient and streamlines are plotted for various emerging parameters. It is found that the temperature profile increases with increase in Brownian motion and thermophoresis parameter. It is also found that the size of the trapped bolus in triangular wave is smaller as compared to other waves. Further, the comparison of both analytical solutions is presented.