Heat transfer effects on cilia-assisted flow of viscoelastic nanofluid under an inclined magnetic field: Lubrication approximations

Document Type : Article


1 Department of Mathematics, Northern University, Wattar-Wallai Road, Nowshera, 24110, KPK, Pakistan

2 Department of Mathematics & Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan

3 Department of Mathematics, Namal University, Mianwali 42250, Pakistan

4 Applied College, Huraymila , Imam Mohammad Ibn Saud Islamic University (IMSIU), KSA

5 Department of Mechanical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi Arabia

6 Department of Chemical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh 11432, Saudi Arabia

7 - Department of Mechanical Engineering, College of Engineering, University of Hail, Hail City, 81451, Saudi Arabia - Laboratory of Metrology and Energy Systems, Energy Engineering Department, National Engineering School, University of Monastir, Monastir5000, Tunisia


A numerical study has been investigated for magnetohydrodynamics (MHD) pumping of viscoelastic nanofluid by means of heat transfer in a complex ciliated channel. The Jeffrey model is followed as a non-Newtonian fluid (blood) in current investigations because of its dual characteristics: one is viscosity effects and the second is elastic in nature. The fluid motion is parallel to the direction of metachronal waves. The metachronal waves are mobilized by the cilia transport. The magnetic force reflection with horizontal angle in inclined direction is implemented. The system identifying via distinct equations is expressed in wave frame which is further normalized the flow system by using scaling quantities. In the next step, the normalized form of rheological equations will be reduced by using lubrication approximations. The ND computational tool is implemented for simulation process. The fluid transportation is controlled by wave number, eccentric parameter of cilia, ciliated length, inclined magnetic force and non-Newtonian parameter.