%0 Journal Article
%T Analytical Study of nano-bioconvective flow in a horizontal channel Using Adomian Decomposition Method
%J Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
%I Shahid Rajaee Teacher Training University (SRTTU)
%Z 2228-7922
%A Mohamed, Kezzar
%A ismail, tabet
%A Nourreddine, nafir
%A Mohamed Rafik, sari
%D 2018
%\ 10/21/2018
%V
%N
%P -
%! Analytical Study of nano-bioconvective flow in a horizontal channel Using Adomian Decomposition Method
%K velocity
%K nanoparticles
%K temperature
%K volume fraction
%K density of microorganisms
%K Adomian method and Runge-Kutta method
%R 10.22061/jcarme.2018.3269.1367
%X In this paper, the convective flow of a nano-fluid in a horizontal channel has been investigated. The Non-Linear model that characterizes the flow of the considered nano-fluid is the one proposed by Nield and Kuznetsov. The partial differential equations of the dynamics, the thermal, the concentration of the nanoparticles and diffusion (velocity, temperature, nanoparticle volume fraction and density of motile microorganisms) resulting from mathematical modeling are reduced to non-linear differential equations. The latter are solved numerically and analytically by the Runge-Kutta method of order 4 (RK4) based shooting method (Tir) and the Adomian decomposition method (ADM) respectively. In this work, special attention was paid to the effects of the physicals parameters (𝛿𝜃,δ_,s and Nt⁄Nb parameters) on the velocity distributions, temperature, nanoparticle volume fraction and the density of motile microorganisms. The comparison of ADM results with numerical based shooting method solution also shows the validity of the analytical the Adomian Decomposition Method (ADM).
%U http://jcarme.sru.ac.ir/article_883_d76aed1b67f2093c4be0a54db6bd4da9.pdf