The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter ( R d ) , magnetic parameter ( M ) , rotation parameter ( K ), Prandtl number ( P r ), Biot number ( λ ) , and heat generation or absorption parameter ( Q h ) are plotted and deliberated graphically.

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

[2]  T. Maré,et al.  Efficiency of carbon nanotubes water based nanofluids as coolants , 2014 .

[3]  P. Ajayan,et al.  Capillarity-induced filling of carbon nanotubes , 1993, Nature.

[4]  Swati Mukhopadhyay,et al.  Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux , 2014 .

[5]  Ranjan K. Dash,et al.  Effect of yield stress on the flow of a Casson fluid in a homogeneous porous medium bounded by a circular tube , 1996 .

[6]  H. Brinkman The Viscosity of Concentrated Suspensions and Solutions , 1952 .

[7]  J. Falicki,et al.  Reynolds number effects in the flow of an electrorheological fluid of a Casson type between fixed surfaces of revolution , 2015, Appl. Math. Comput..

[8]  Ahmed Alsaedi,et al.  Convective flow of carbon nanotubes between rotating stretchable disks with thermal radiation effects , 2016 .

[9]  Josua P. Meyer,et al.  The influence of multi-walled carbon nanotubes on single-phase heat transfer and pressure drop characteristics in the transitional flow regime of smooth tubes , 2013 .

[10]  Ilyas Khan,et al.  Unsteady mhd free convection flow of casson fluid past over an oscillating vertical plate embedded in a porous medium , 2015 .

[11]  Yulong Ding,et al.  Effective thermal conductivity of aqueous suspensions of carbon nanotubes (carbon nanotube nanofluids) , 2004 .

[12]  Ahmed Alsaedi,et al.  Three-dimensional rotating flow of carbon nanotubes with Darcy-Forchheimer porous medium , 2017, PloS one.

[13]  Nasrudin Abd Rahim,et al.  Analyses of exergy efficiency and pumping power for a conventional flat plate solar collector using SWCNTs based nanofluid , 2014 .

[14]  R. Ravindran,et al.  Non-uniform Slot Suction/Injection into Mixed Convective MHD Flow Over a Vertical Wedge with Chemical Reaction☆ , 2015 .

[15]  Leonid I. Manevitch,et al.  Nonlinear optical vibrations of single-walled carbon nanotubes. , 2017 .

[16]  Shijun Liao,et al.  On the homotopy analysis method for nonlinear problems , 2004, Appl. Math. Comput..

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

[18]  G. Domairry,et al.  An analytical solution for boundary layer flow of a nanofluid past a stretching sheet , 2011 .

[19]  Matteo Pasquali,et al.  Purification and Dissolution of Carbon Nanotube Fibers Spun from the Floating Catalyst Method. , 2017, ACS applied materials & interfaces.

[20]  P. D. Ariel,et al.  Hiemenz flow in hydromagnetics , 1994 .

[21]  J. Baek,et al.  Carbon nanomaterials for advanced energy conversion and storage. , 2012, Small.

[22]  Ioan Pop,et al.  Unsteady boundary layer flow over a permeable curved stretching/shrinking surface , 2015 .

[23]  Md. Mizanur Rahman,et al.  Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation (or) absorption , 2012 .

[24]  Cyrus Aghanajafi,et al.  The Effect of Thermal Radiation on Nanofluid Cooled Microchannels , 2009 .

[25]  S. Abbasbandy The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation , 2007 .

[26]  S. Iijima Helical microtubules of graphitic carbon , 1991, Nature.

[27]  Nasir Ali,et al.  Stretching a Curved Surface in a Viscous Fluid , 2010 .

[28]  Sohail Nadeem,et al.  MHD Three-Dimensional Boundary Layer Flow of Casson Nanofluid Past a Linearly Stretching Sheet With Convective Boundary Condition , 2014, IEEE Transactions on Nanotechnology.

[29]  Mohammad Ferdows,et al.  FINITE DIFFERENCE SOLUTION OF MHD RADIATIVE BOUNDARY LAYER FLOW OF A NANOFLUID PAST A STRETCHING SHEET , 2010 .

[30]  Zhang Hong-qing,et al.  Solitary Solution of Discrete mKdV Equation by Homotopy Analysis Method , 2008 .

[31]  D. Srinivasacharya,et al.  MHD Boundary Layer Flow of a Nanofluid Past a Wedge , 2015 .

[32]  Sohail Nadeem,et al.  Water driven flow of carbon nanotubes in a rotating channel , 2016 .

[33]  Xinhe Bao,et al.  Toward fundamentals of confined catalysis in carbon nanotubes. , 2015, Journal of the American Chemical Society.

[34]  S. Pramanik,et al.  Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation , 2014 .

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

[36]  Shijun Liao,et al.  Comparison between the homotopy analysis method and homotopy perturbation method , 2005, Appl. Math. Comput..

[37]  Ali Saleh Alshomrani,et al.  Magnetic field effect on Poiseuille flow and heat transfer of carbon nanotubes along a vertical channel filled with Casson fluid , 2017 .

[38]  Zahir Shah,et al.  The Combined Magneto Hydrodynamic and Electric Field Effect on an Unsteady Maxwell Nanofluid Flow over a Stretching Surface under the Influence of Variable Heat and Thermal Radiation , 2018 .

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

[40]  Q. Al‐Mdallal,et al.  Heat transfer enhancement in free convection flow of CNTs Maxwell nanofluids with four different types of molecular liquids , 2017, Scientific Reports.

[41]  Ahmed Alsaedi,et al.  Carbon nanotubes effects in the stagnation point flow towards a nonlinear stretching sheet with variable thickness , 2016 .

[42]  T. Roper,et al.  Flow and heat transfer in a second grade fluid over a stretching sheet , 1999 .

[43]  Taza Gul,et al.  The electrical MHD and Hall current impact on micropolar nanofluid flow between rotating parallel plates , 2018, Results in Physics.

[44]  Tasawar Hayat,et al.  Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects , 2013 .

[45]  Razman Mat Tahar,et al.  Unsteady Boundary Layer Flow and Heat Transfer of a Casson Fluid past an Oscillating Vertical Plate with Newtonian Heating , 2014, PloS one.