The combined effects of slip and convective boundary conditions on stagnation-point flow of CNT suspended nanofluid over a stretching sheet

Abstract In this article, we discussed the two dimensional stagnation-point flow of carbon nanotubes towards a stretching sheet with water as the base fluid under the influence of slip effects and convective boundary condition using a homogeneous model. Similarity transformations are used to simplify the governing boundary layer equations of nanofluid. This is the first article on the stagnation point flow of CNTs over a stretching sheet. Two types of CNTs, single- and multi-wall CNTs are used with water as the base fluid. The resulting nonlinear coupled equations with the relevant boundary conditions are solved numerically using the shooting method. The influence of the flow parameters on the dimensionless velocity, temperature, skin friction, and Nusselt numbers is explored and presented in the form of graphs and interpreted physically.

[1]  L. Crane.  Flow past a stretching plate , 1970 .

[2]  Reza Kamali,et al.  Numerical investigation of heat transfer enhancement using carbon nanotube-based non-Newtonian nanofluids , 2010 .

[3]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface , 1961 .

[4]  Sohail Nadeem,et al.  Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition , 2013 .

[5]  G. Peterson,et al.  Effect of Morphology of Carbon Nanotubes on Thermal Conductivity Enhancement of Nanofluids , 2007 .

[6]  Ioan Pop,et al.  Magnetohydrodynamic (MHD) flow of a micropolar fluid towards a stagnation point on a vertical surface , 2008, Comput. Math. Appl..

[7]  Zafar Hayat Khan,et al.  Numerical simulation of peristaltic flow of a Carreau nanofluid in an asymmetric channel , 2014 .

[8]  I. Pop,et al.  Non-orthogonal stagnation-point flow towards a stretching surface in a non-Newtonian fluid with heat transfer , 2010 .

[9]  I. Pop,et al.  Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature , 2009 .

[10]  Waqar A. Khan,et al.  Fluid flow and heat transfer of carbon nanotubes along a flat plate with Navier slip boundary , 2014, Applied Nanoscience.

[11]  Sohail Nadeem,et al.  Numerical solutions of Magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet , 2013 .

[12]  Sohail Nadeem,et al.  Non-orthogonal stagnation point flow of a nano non-Newtonian fluid towards a stretching surface with heat transfer , 2013 .

[13]  Robert A. Van Gorder,et al.  Stability analysis of the dual solutions for stagnation-point flow over a non-linearly stretching surface , 2012 .

[14]  B. C. Sakiadis.  Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[15]  N. Akbar,et al.  Nano Sutterby Fluid Model for the Peristaltic Flow in Small Intestines , 2013 .

[16]  Tasawar Hayat,et al.  Effects of Heat Transfer in Flow of Nanofluids Over a Permeable Stretching Wall in a Porous Medium , 2014 .

[17]  Rahmat Ellahi,et al.  Series solutions of non-Newtonian nanofluids with Reynolds' model and Vogel's model by means of the homotopy analysis method , 2012, Math. Comput. Model..

[18]  Sohail Nadeem,et al.  Peristaltic Flow of a Prandtl Nano Fluid in an Asymmetric Porous Channel: Numerical Solutions , 2014 .

[19]  N. Akbar.  Endoscopic Effects on the Peristaltic Flow of Cu-Water Nanofluid , 2014 .

[20]  H. Hong,et al.  Enhanced thermal conductivity by the magnetic field in heat transfer nanofluids containing carbon nanotube , 2007 .