Flow of carbon nanotubes suspended nanofluid in stretchable non-parallel walls

Analysis of the carbon nanotubes suspended nanofluids in a channel with non-parallel stretchable walls is presented. Water is taken as the base fluid for the analysis. The governing partial differential equations governing the flow are transformed to a set of nonlinear ordinary differential equations. Solution of the problem is obtained using a numerical scheme as well as an analytical procedure called the differential transform method. Two types of CNTs called the single-walled carbon nanotubes and multi-walled carbon nanotubes are considered for the analysis. To examine the influence of involved parameters on velocity and temperature profiles, graphical analysis is carried out coupled with comprehensive discussions. The expressions for skin friction coefficient and the Nusselt number are formulated, and variations in these two for different values of parameters are presented graphically. Results obtained in this study are compared with some of the already existing results in the literature and found to be in exceptional agreement.

[1]  Mohammad Mehdi Rashidi,et al.  Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method , 2010, Mathematical Problems in Engineering.

[2]  Syed Tauseef Mohyud-Din,et al.  Magnetohydrodynamic Flow and Heat Transfer of Nanofluids in Stretchable Convergent/Divergent Channels , 2015 .

[3]  D. Ganji,et al.  Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by Adomian decomposition method , 2012 .

[4]  Sohail Nadeem,et al.  Effect of Thermal Radiation for Megnetohydrodynamic Boundary Layer Flow of a Nanofluid Past a Stretching Sheet with Convective Boundary Conditions , 2014 .

[5]  Naveed Ahmed,et al.  Heat transfer effects on carbon nanotubes suspended nanofluid flow in a channel with non-parallel walls under the effect of velocity slip boundary condition: a numerical study , 2015, Neural Computing and Applications.

[6]  Mohammad Mehdi Rashidi,et al.  Application of Homotopy Analysis Method to the Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates , 2010 .

[7]  Waqar A. Khan,et al.  MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet: A numerical study , 2015 .

[8]  Muhammad Imran Anwar,et al.  Magnetohydrodynamic and radiation effects on stagnation-point flow of nanofluid towards a nonlinear stretching sheet , 2014 .

[9]  Davood Domiri Ganji,et al.  Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field , 2014 .

[10]  E. Grulke,et al.  Anomalous thermal conductivity enhancement in nanotube suspensions , 2001 .

[11]  Abdul Aziz,et al.  Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition , 2011 .

[12]  Sohail Nadeem,et al.  Convective heat transfer in MHD slip flow over a stretching surface in the presence of carbon nanotubes , 2015 .

[13]  G. Hamel Spiralförmige Bewegungen zäher Flüssigkeiten , 1917 .

[14]  Davood Domiri Ganji,et al.  MHD nanofluid flow analysis in divergent and convergent channels using WRMs and numerical method , 2014 .

[15]  G. B. Jeffery L. THE TWO-DIMENSIONAL STEADY MOTION OF A VISCOUS FLUID , 2009 .

[16]  J. Dorrepaal,et al.  Slip flow in converging and diverging channels , 1993 .

[17]  J. Buongiorno Convective Transport in Nanofluids , 2006 .

[18]  Rahmat Ellahi,et al.  A study of natural convection heat transfer in a nanofluid filled enclosure with elliptic inner cylinder , 2014 .

[19]  Nan Gui,et al.  Advanced approaches of modeling and measurement for turbulence and heat transfer , 2016 .

[20]  O. K. Crosser,et al.  Thermal Conductivity of Heterogeneous Two-Component Systems , 1962 .

[21]  Mohammad Mehdi Rashidi,et al.  The modified differential transform method for investigating nano boundary‐layers over stretching surfaces , 2011 .

[22]  Ilyas Khan,et al.  Exact solutions for free convection flow of nanofluids with ramped wall temperature , 2015 .

[23]  Syed Tauseef Mohyud-Din,et al.  A Study of Velocity and Temperature Slip Effects on Flow of Water Based Nanofluids in Converging and Diverging Channels , 2015 .

[24]  Mustafa Turkyilmazoglu,et al.  Extending the traditional Jeffery-Hamel flow to stretchable convergent/divergent channels , 2014 .

[25]  Tasawar Hayat,et al.  Effect of heat transfer on the flow of a second‐grade fluid in divergent/convergent channel , 2009 .

[26]  A. D. McQuillan,et al.  Correlation between magnetic susceptibility and hydrogen solubility in alloys of early transition elements , 1961 .

[27]  Q. Xue Model for thermal conductivity of carbon nanotube-based composites , 2005 .

[28]  Syed Tauseef Mohyud-Din,et al.  Convective heat transfer and thermo-diffusion effects on flow of nanofluid towards a permeable stretching sheet saturated by a porous medium , 2016 .

[29]  Syed Tauseef Mohyud-Din,et al.  Numerical investigation of magnetohydrodynamic flow and heat transfer of copper–water nanofluid in a channel with non-parallel walls considering different shapes of nanoparticles , 2016 .

[30]  Mohammad Mehdi Rashidi,et al.  Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation , 2014 .

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

[32]  Stephen U. S. Choi Enhancing thermal conductivity of fluids with nano-particles , 1995 .

[33]  F. G. Awad,et al.  A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem , 2010 .

[34]  R. Ellahi,et al.  Shape effects of nanosize particles in Cu-H2O nanofluid on entropy generation , 2015 .