MHD and Cross Diffusion Effects on Peristaltic Flow of a Casson Nanofluid in a Duct
The Soret and Dufour effects on the peristaltic transport of a conducting Casson nanofluid in a flexible channel are studied. The influence of dissipation and Joule heating are also discussed. The governing equations are simplified by using a long wave length and small Reynolds number approximations. The analytical solutions for stream function and axial velocity are obtained. Moreover, the Runge–Kutte-based shooting method is utilized to solve the coupled energy and concentration equations. The impact of important parameters on the flow is explained using graphs for both Newtonian and Casson fluid cases. It is observed that the Casson fluid has more velocity than the Newtonian fluid in the middle of the channel and the situation is reversed at the channel walls. Further, a higher temperature is noted for Casson fluid than for Newtonian fluid throughout the channel, whereas concentration shows the opposite behavior.
- 1.Latham, T.W.: Fluid motions in a peristaltic pump. M.S. Thesis, Massachusetts Institute of Technology, Cambridge (1966)Google Scholar
- 2.Fung, Y.C., Yih, C.S.: Peristaltic transport. Trans. ASME, J. Appl. Mech. 35, 669–675 (1968)Google Scholar
- 6.Lakshminarayana, P., Sreenadh, S., Sucharitha, G., Nandagopal, K.: Effect of slip and heat transfer on peristaltic transport of a Jeffrey fluid in a vertical asymmetric porous channel. Adv. Appl. Sci. Res. 6 (2), 107–118 (2015)Google Scholar
- 7.Vajravelu, K., Sreenadh, S., Lakshminarayana, P., Sucharitha, G., Rashidi, M. M.: Peristaltic flow of Phan-Thien-Tanner fluid in an asymmetric channel with porous medium. J. Appl. Fluid Mech. 9 (4), 1615–1625 (2016)Google Scholar
- 15.Satyanarayana, K.V.V., Sreenadh, S., Sucharitha, G., Lakshminarayana, P.: The effect of wall properties on the convective peristaltic transport of a conducting Bingham fluid through porous medium. Ind. J. Sci. Tech. 9 (42), 1–9 (2016)Google Scholar
- 21.Nadeem, S., Khan, S., A. U., Saleem, S.: A comparative analysis on different nanofluid models for the oscillatory stagnation point flow. Eur. Phys. J. Plus 131, 261 (2016)Google Scholar