Ciliary flow of casson nanofluid with the influence of mhd having carbon nanotubes
Alblawi A. Keyani S. Nadeem S. Issakhov A. Alarifi I.M.
May 2021Bentham Science Publishers
Current Nanoscience
2021#17Issue 3447 - 462 pp.
Objective: In this paper, we consider a model that describes the ciliary beating in the form of metachronal waves along with the effects of Magnetohydrodynamic fluid over a curved channel with slip effects. This work aims at evaluating the effect of Magnetohydrodynamic (MHD) on the steady two dimensional (2-D) mixed convection flow induced in carbon nanotubes. The work is done for both the single wall nanotube and multiple wall nanotube. The right wall and the left wall possess a metachronal wave that is travelling along the outer boundary of the channel. Methods: The wavelength is considered very large for cilia induced MHD flow. The governing linear coupled equations are simplified by considering the approximations of long wavelength and small Reynolds number. Exact solutions are obtained for temperature and velocity profiles. The analytical expressions for the pressure gradient and wall shear stresses are obtained. The term for pressure rise is obtained by applying Numerical integration method. Results: Numerical results of velocity profile are mentioned in a table form, for various values of solid volume fraction, curvature, Hartmann number [M] and Casson fluid parameter [ζ]. The final section of this paper is devoted to discussing the graphical results of temperature, pressure gradient, pressure rise, shear stresses and stream functions. Conclusion: Velocity profile near the right wall of the channel decreases when we add nanoparticles into our base fluid, whereas the opposite behaviour is depicted near the left wall due to ciliated tips, whereas the temperature is an increasing function of B and γand a decreasing function of Φ.
Casson nanofluid , Cilia induced flow , Curved channel , Magneto-hydrodynamic , Metachronal waves , Peristalsis
Text of the article Перейти на текст статьи
Mechanical Engineering Department, College of Engineering, Shaqra University, Dawadmi, 11911, Riyadh, 11564, Saudi Arabia
Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan
Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, av. Al Farabi 71, Almaty, Kazakhstan
Department of Mechanical and Industrial Engineering, College of Engineering Majmaah University, Al-Majmaah, Riyadh, 11952, Saudi Arabia
Mechanical Engineering Department
Department of Mathematics
Faculty of Mechanics and Mathematics
Department of Mechanical and Industrial Engineering
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026