Title of article :
Analytical solution of fractional Navier–Stokes equation by using modified Laplace decomposition method
Author/Authors :
Kumar, Sunil National Institute of Technology - Department of Mathematics, India , Kumar, Deepak Banaras Hindu University - Department of Statistics, India , Abbasbandy, Saeid imam khomeini international university - Department of Mathematics, قزوين, ايران , Rashidi, M.M. bu ali sina university of hamadan - Engineering Faculty - Mechanical Engineering Department, همدان, ايران , Rashidi, M.M. University of Michigan-Shanghai, Jiao Tong University - Joint Institute - Mechanical Engineering Department, China
Abstract :
The aim of this article is to introduce a new analytical and approximate technique to obtain the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique is the coupling of Adomian decomposition method (ADM) and Laplace transform method (LTM). We have consider the unsteady flow of a viscous fluid in a tube in which, besides time as one of the dependent variable, the velocity field is a function of only one space coordinate. A good agreement between the obtained solutions and some well-known results has been demonstrated. It is shown that the proposed method robust, efficient, and easy to implement for linear and nonlinear problems arising in science and engineering.
Keywords :
Adomian decomposition method (ADM) , Laplace transform method (LTM) , Fractional modified Laplacedecomposition method (FMLDM) , Fractional Navier–Stokes equation , Analytic solution
Journal title :
Ain Shams Engineering Journal
Journal title :
Ain Shams Engineering Journal
