title: Bio mathematical venture for the metallic nanoparticles due to ciliary motion.
abstract: OBJECTIVE
  The present investigation is associated with the contemporary study of viscous flow in a vertical tube with ciliary motion.
  The main flow problem has been modeled using cylindrical coordinates; flow equations are simplified to ordinary differential equations using longwave length and low Reynold's number approximation; and exact solutions have been obtained for velocity, pressure gradient and temperature. Results acquired are discussed graphically for better understanding. Streamlines for the velocity profile are plotted to discuss the trapping phenomenon. It is seen that with an increment in the Grashof number, the velocity of the governing fluids starts to decrease significantly.
authors.affiliation: DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan.
authors.forename: Noreen Sher
authors.initials: NS
authors.lastname: Akbar
authors.affiliation: DBS&H, MCE, National University of Sciences and Technology, Islamabad, Pakistan. Electronic address: adil.maths86@gmail.com.
authors.forename: Adil Wahid
authors.initials: AW
authors.lastname: Butt
mesh_terms: D002923:Cilia / Q000502:physiology*; D003196:Computer Graphics; D053768:Metal Nanoparticles / Q000737:chemistry*; D008962:Models, Theoretical
keywords: Ciliary motion; Exact solution; Heat transfer; Metallic nanoparticles; Symmetric channel; Trapping phenomena