Flow and heat transfer characteristics in fallopian tube with metachronal wave of cilia

Abstract Cilia is an important mechanism for epithelial cells in the respiratory tract, cerebrospinal flow in the brain, hair bundles in the ear and photoreceptor in the retina, etc. Cilia can also be found in human fallopian tube for the transport of the ova, embryos and sperm. In this research, we investigate the combined effects of mixed convection and magnetic field. In the present analysis we describe the flow and heat transfer characteristics of MHD Carreau fluid in fallopian tube with metachronal wave of cilia. The mathematical Eq. of the problem is performed under creeping phenomena and long wavelength approximation. The numerical solution for extra stress tensor, temperature profile and streamline pattern are obtained using the NDSolve method of Mathematica software. The physical and graphical behavior of different value of involved parameter are discussed in the last section. The parametric values are kept small (< 10) in view of cilia walls having very small diameter.