Analysis of water driven CNTs along an axisymmetric surface with viscous dissipation effect

Abstract

Present study is dealing the effects of carbon particles on MHD three-dimensional axisymmetric flow of water along a permeable stretched surface. Dissipation effects are also considered along two lateral directions (x-and y-directions). Single and Multiple wall carbon nanotubes (SWCNTs and MWCNTs) that comprise the superb thermal conductivity are also inspected. A modified relation for effective thermal conductivity of carbon nanotube that depends upon radius of particle is used to construct the mathematical model. Physical quantities of interest are also developed in terms of skin friction coefficient and local Nusselt number. Obtained results are developed from a system of nonlinear equations via numerically scheme (Runge-Kutta fourth order method). All obtained results for velocity and temperature profile are depends upon emerging parameters such as: Hartmann number M, nanoparticle volume fraction φ, Prandtl number Pr, suction/injection parameter S, and dissipation parameters Ec, Ecx and Ecy. Entire analysis described that results for SWCNTs provides the better heat transfer rate as compared to MWCNTs. It is further found that skin friction provides the dominant friction at the surface for suction cases.