Unsteady MHD Boundary Layer Flow and Heat Transfer of Ferrofluids over A Horizontal Flat Plate with Leading Edge Accretion

Sayyid Zainal Abidin Syed Ahmad; Wan Azmi Wan Hamzah; Mohd Rijal Ilias; Sharidan Shafie; Gholamhassan Najafi

Authors

Sayyid Zainal Abidin Syed Ahmad Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
Wan Azmi Wan Hamzah Faculty of Mechanical Engineering, Universiti Malaysia Pahang, 26600 Pekan, Pahang, Malaysia
Mohd Rijal Ilias Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
Sharidan Shafie Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
Gholamhassan Najafi Tarbiat Modares University, Tehran, Iran

Keywords:

Ferrofluid, Boundary layer flow, Heat transfer, MHD, Runge-Kutta Felhberg method

Abstract

The unsteady forced convection boundary layer flow of ferrofluids past asemi-infinite flat plate is theoretically investigated. The governing equations are transformed into uncoupled ordinary differential equations using similarity transformation. Similarity equations were solved numerically by employing the Fourth-Fifth Order Runge-Kutta Felhberg method with shooting technique. MAPLE software was used in order to obtain graphical results. This study investigates the behavior of water and kerosene suspension which contains nanoparticles of magnetite (Fe3O4) together with heat transfer analysis due to boundary layer flow. In this problem, a comparison between two different base fluids mixed magnetic particle; Fe3O4-water and Fe3O4-kerosene has been conducted. The impact of different types of volume fraction on heat transfer enhancement and fluid flow characteristics together with the effect of several leading edge and magnetic field parameters has been studied. The effects of various physical parameters on the velocity profiles, temperature profiles, skin friction and Nusselt number were investigated numerically. The obtained results of this paper are compared to regular fluid without magnetic effect and the comparison shows good agreement with the published results. It is found that, the ferrofluids velocity, temperature and heat transfer rate increases with an increase magnetic field and nanoparticles volume fraction.