Dual and Similarity Solution for Flow and Heat Transfer of Nanofluid Past a Stretching Sheet with Magnetic Induction: Efficiency of Carbon Nanotubes

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KAUST

Abstract

In this paper, magnetic induction viscous incompressible ow of nanofluid containing carbon nanotubes over a linear stretching sheet has been investigated numerically. Furthermore, Carbon nanotubes (CNTs); single wall carbon nanotube (SWCNT) and multi wall carbon
nanotube (MWCNT) is featured to provide a more realistic simulation in materials processing system for water and kerosene oil-based fluid. Under above assumptions, the governing continuity, momentum, magnetic induction and heat conservation equations for MHD nano-ferrofluid boundary layer force convection is designed and the physical problem is described by a coupled system of nonlinear partial differential equations subject to corresponding boundary conditions.
The solution is attained numerically and the results are presented for the non-dimensional velocity, magnetic and temperature profiles for different values of the controlling parameters such as Prandtl number (Pr), Particle volume fraction parameter ('), Reciprocal magnetic Prandtl
number (@), Magnetic parameter (fi) and Stretching rate ratio parameter (A) , magnetic parameter, solid volume fraction of nanoparticles and the type of nano uids. The effect of pertinent parameters on the skin friction and reduced heat transfer are also displayed as above mentioned
parameters to analyze the critical values of possible existence of dual velocity profiles, dual temperature profile and dual magnetic field profile. It is depicted that, when the stretching rate ratio parameter varies, then SWCNT has higher velocity than MWCNT for increasing magnetic parameter for water and kerosene oil based CNTs. Regardless considering any physical parameters SWCNT gives better heat transfer compared to MWCNT. The outcomes also specify that Water based CNTSs have higher velocity as compared to Kerosene Oil based CNTs.

Brief Biography

Mohammad Ferdows, Ph.D. is a professor at the University of Dhaka, Bangladesh and Principal Investigator of Fluid flow modelling and simulation research group at the same university. His research interests include fluid flow modelling and numerical analysis.  His list of publications contains more than 250 items (among them 6 books chapter). He worked at Tokyo Metropolitan University, Toyota Technological Institute, Japan Atomic Energy Agency, National Cheng Kung University, University Sains Malaysia, Shizuoka University, Osaka University, Pohang University of Science and technology, Korea, King Abdullah University of Science and Technology, Technological Educational Institute of Western Greece, Louisiana Tech University, King Abdulaziz University.