![Sample our Computer Science journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5928/TOC-Subject-Sample-2021-Computer-Science.jpg"})
Abstract
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.
NOMENCLATURE
| A*, B* | = | Constant parameter |
| P | = | Fluid pressure |
| q | = | Mass transfer parameter |
| xk | = | General coordinates |
| F | = | Velocity function |
| = | Fluid thermal conductivity | |
| N | = | Power law index in temperature distribution |
| = | Reynolds number | |
| Ha | = | Hartmann number |
| u, v | = | Dimensionless components velocity inx and y directions, respectively |
| u* , v* | = | Velocity components inx and y directions respectively |
| x, y | = | Dimensionless horizontal, vertical coordinates, respectively |
| x* , y* | = | Distance in x,y directions parallel to the plates |
Greek Symbols
| = | Kinematic viscosity | |
| σ | = | Electrical conductivity |
| ϵ | = | Aspect ratio h/Lx |
| μ | = | Dynamic viscosity |
| = | Kinematic viscosity | |
| ρ | = | Fluid density |
Subscripts
| ∞ | = | Condition at infinity |
| nf | = | Nanofluid |
| f | = | Base fluid |
| s | = | Nano-solid-particles |