In this study, we propose a reliable algorithm to develop an
analytical solution for the problem of laminar steady magnetohydrodymanics
(MHD) nanofluid flow in a semi-permeable channel
using the differential transformation method (DTM). The working
fluid is water with copper nanoparticles. The effects of Hartmann
number and Reynolds number on velocity profiles have been also
considered for various numerical cases. The effective thermal conductivity
and viscosity of nanofluid are calculated by the Maxwell
and Brinkman models, respectively. A close agreement between
the obtained solution and some well-known results has been established.
