Abstract
The flow and heat transfer characteristics of both single-wall and multi-wall carbon nanotubes (CNTs) with water and kerosene as base fluid on a moving plate with slip effect are studied numerically. By employing similarity transformation, governing equations are transformed into a set of nonlinear ordinary equations. These equations are solved numerically using the bvp4c solver in Matlab which is a very efficient finite difference method. The influence of numerous parameters such as nanoparticle volume fraction, velocity ratio parameter and first order slip parameter on velocity, temperature, skin friction and heat transfer rate are further explored and discussed in the form of graphical and tabular forms. The results reveal that dual solutions exist when the plate and free stream move in the opposite direction and slip parameter was found to widen the range of the possible solutions. However, skin friction coefficients decrease, whereas the heat transfer increases in the presence of slip parameter. Single-wall carbon nanotubes (SWCNTs) give higher skin friction and heat transfer compared to multi-wall carbon nanotubes (MWCNTs) due to the fact that they have higher density and thermal conductivity. A stability analysis is carried out to determine the stability of the solutions obtained.
Highlights
In the past few decades, the thermal conductivity of nanofluids has been investigated by many researchers
It is is observed observed in the same direction as the free stream, the skin friction coefficient decreases with an increase in slip parameter
Skin of friction when moves an assisting for both in. It is is observed the of Single-wall carbon nanotubes (SWCNTs) is found to in be higher compared to multi-wall carbon nanotubes (MWCNTs)
Summary
In the past few decades, the thermal conductivity of nanofluids has been investigated by many researchers. Choi et al [4] studied the thermal conductivity of oil-based carbon nanotubes. Blasius in 1908 [11] was most likely the first researcher to investigate the problem of boundary layer flow in a viscous fluid over a stationary flat plate. Bhattacharyya et al [18,19] investigated the boundary layer slip flow over a flat plate with uniform magnetic field and considered the plate immersed into the porous medium. Bhattacharyya et al [20] studied the flow on moving flat plate in a parallel free stream with slip effect. Khan et al [22] was the first to consider the flow and heat transfer of carbon nanotubes along a flat plate by employing a homogeneous flow model subjected to Navier slip and uniform heat flux boundary conditions. We believe that this case has not been reported in any of the previous literature
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