Abstract
Here we are concerned with the Darcy-Forchheimer three-dimensional flow of carbon nanotubes in a rotating frame. Flow is generated by stretching of the surface. Xue model is adopted for nanofluid transport mechanism. Results for single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes are achieved and compared. Flow saturating porous space obeys Darcy-Forchheimer expression. Boundary layer approximations are invoked to simplify governing partial differential system. Optimal homotopy analysis method (OHAM) is utilized for solutions of governing model. The optimal values of auxiliary parameters are computed. Plots have been displayed in order to analyze how the velocities and temperature fields get affected by various flow parameters. Skin-friction coefficients and local Nusselt number are presented through numerical data for both SWCNTs and MWCNTs. Moreover the skin-friction coefficients and local Nusselt number are enhanced for larger values of nanoparticles volume fraction.
Highlights
The results are achieved for both single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes (MWCNTs)
It has been noticed that higher values of porosity parameter λ shows reduction in the velocity field f 0(z) for both SWCNTs and multi walled carbon nanotubes (MWCNTs)
Larger values of porosity parameter λ and inertia coefficient Fr correspond to lower velocities f 0(z) and g(z)
Summary
Hayat et al [17] studied Darcy-Forchheimer flow of carbon nanotubes due to a rotating disk. Hayat et al [28] provided an optimal study for three-dimensional flow of Maxwell nanofluid subject to rotating frame. Cattaneo-Christov heat flux model in Darcy-Forchheimer flow of an Oldroyd-B fluid non-linear convection is studied by Shehzad et al [40]. Hayat et al [42] discussed Darcy-Forchheimer flow of Maxwell material subject to heat flux via Cattaneo-Christov theory and variable thermal conductivity. Hayat et al [45] discussed Darcy-Forchheimer flow of viscoelastic fluids with CattaneoChristov heat flux and homogeneous-heterogeneous reactions. To model and analyze the Darcy-Forchheimer three-dimensional rotating flow of carbon nanotubes. Skin-friction coefficients and heat transfer rate (local Nusselt number) are analyzed through numerical values
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