Additional Results for the Peristaltic Transport of Viscous Nanofluid in an Asymmetric Channel with Effects of the Convective Conditions
Exact theoretical solutions were obtained for the peristaltic transport of viscous nanofluid in an asymmetric channel in presence of the convective conditions. Therefore, on comparing the present results with those published approximate ones by using the homotopy perturbation method (HPM), great remarkable differences and contradictions have been detected. It was also shown that the published approximate solutions does not satisfy the boundary conditions of the studied problem. In addition, it was mentioned that the current work have many advantages over those obtained by using the HPM and, hence, reveals firmly that the researchers have to be very careful on using the homotopy perturbation method to solve the governing equations of a peristalsis flow, otherwise, a spurious physical sight is to be obtained.
KeywordsNanofluid Peristaltic Convective conditions Asymmetric channel Exact solution
The authors would like to acknowledge financial support for this work from the Deanship of Scientific Research (DSR), University of Tabuk, Tabuk, Saudi Arabia, under Grant No. S-1437-0034.
- 1.Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticles. In: The proceedings of the 1995 ASME international mechanical engineering congress and exposition, vol 66. ASME, FED 231/MD, San Francisco, USA, p 99Google Scholar
- 3.Buongiorno J, Hu W (2005) Nanofluid coolants for advanced nuclear power plants, Paper no. 5705. In: Proceedings of ICAPP ‘05, Seoul, May 15–19Google Scholar
- 4.Latham TW (1966) Fluid motion in a peristaltic pump, M.Sc. Thesis, MIT, CambridgeGoogle Scholar
- 11.Ebaid A, Aly EH (2013) Exact analytical solution of the peristaltic nanofluids flow in an asymmetric channel with flexible walls and slip condition: application to the cancer treatment. Comput Math Methods Med, vol 2013, Article ID 825376Google Scholar
- 13.Khaled SM, Ebaid A, Al Mutairi F (2014) The exact endoscopic effect on the peristaltic flow of a nanofluid. J Appl Math, vol 2014, Article ID 367526Google Scholar