@inproceedings{70c91844290c4c3496b9ee4fd41d28bf,

title = "On the similarity solution of nano-fluid flow over a moving flat plate using the homotopy analysis method",

abstract = "The present article discusses the characteristics of Newtonian water-base-Copper nano-fluid flowing over an infinite flat plate moving with a constant velocity in the direction of the flow. The non-classical similarity transformation is employed to transform the Navier-Stokes equation into a nonlinear ordinary differential equation with specific boundary conditions. The Homptopy analysis method (HAM) is employed to solve the resulting nonlinear differential equation to study the effects of the nanoparticle volume fraction and wall velocity on the flow velocity profile, the boundary layer thickness and the local skin friction coefficient. The existence and non-uniqueness of the solution as a function of the wall velocity will be also discussed.",

keywords = "Homotopy analysis method, Nano-fluid, moving flat plate, similarity solutions",

author = "Allan, {Fathi M.} and Hajji, {Mohamed A.}",

year = "2012",

month = dec,

day = "1",

doi = "10.1063/1.4756538",

language = "English",

isbn = "9780735410916",

series = "AIP Conference Proceedings",

number = "1",

pages = "1833--1837",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics",

edition = "1",

note = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 ; Conference date: 19-09-2012 Through 25-09-2012",

}