Radiative flow of magneto hydrodynamics single-walled carbon nanotube over a convectively heated stretchable rotating disk with velocity slip effect

In this article, we have examined the three-dimensional flow of heat and mass transport of carbon nanotube–based nanoliquid over a rotating stretchable disk. A uniform magnetic field B 0 is applied in a transverse direction to the flow of nanofluid. Moreover, we have considered carbon nanotube nanoparticles termed as single-walled carbon nanotubes within the base liquid (water). In addition, at the boundaries of current problem, the effect of velocity slip and thermal convection is deliberated. The heat transport mechanism is also incorporated thermal radiation. The pertinent strong nonlinear ordinary differential system after utilizing the appropriate variables is intended. Homotopy analysis method technique is employed to estimate the analytical results for velocities and thermal fields. For the sake of comparison, the numerical method ND-Solve solution is also obtained. The results are found to be in an excellent agreement. Various graphs have been plotted in order to study the effect of different model variables on the velocities and thermal fields. The main features of physical quantities of flow like C F Re α 0 . 5 , C G Re α 0 . 5 (local skin friction coefficient), and Nu Re α − 0 . 5 (heat transfer rate) have been formulated and deliberated graphically. It is found that velocity is reduced under the influence of the exterior magnetic field. Concluding remarks are pinched under the analysis of complete investigation.

[1]  B. J. Gireesha,et al.  Marangoni convective MHD flow of SWCNT and MWCNT nanoliquids due to a disk with solar radiation and irregular heat source , 2017 .

[2]  T. Hayat,et al.  Carbon nanotubes significance in Darcy-Forchheimer flow , 2018 .

[3]  Taza Gul,et al.  Impact of Thermal Radiation and Heat Source/Sink on Eyring–Powell Fluid Flow over an Unsteady Oscillatory Porous Stretching Surface , 2018 .

[4]  Ramesh Chandra Arora,et al.  On the heat transfer between two rotating disks , 1972 .

[5]  Simon Tung,et al.  A review on development of nanofluid preparation and characterization , 2009 .

[6]  Mustafa Turkyilmazoglu,et al.  Parametrized Adomian Decomposition Method with Optimum Convergence , 2017, ACM Trans. Model. Comput. Simul..

[7]  Taza Gul,et al.  Three dimensional third grade nanofluid flow in a rotating system between parallel plates with Brownian motion and thermophoresis effects , 2018, Results in Physics.

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

[9]  Arash Karimipour,et al.  Developing the laminar MHD forced convection flow of water/FMWNT carbon nanotubes in a microchannel imposed the uniform heat flux , 2016 .

[10]  M. Sheikholeslami.  Application of Darcy law for nanofluid flow in a porous cavity under the impact of Lorentz forces , 2018, Journal of Molecular Liquids.

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

[12]  Syed Hussain,et al.  The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption , 2018 .

[13]  Zahir Shah,et al.  Darcy-Forchheimer flow of radiative carbon nanotubes with microstructure and inertial characteristics in the rotating frame , 2018, Case Studies in Thermal Engineering.

[14]  Zahir Shah,et al.  Darcy-Forchheimer flow of MHD nanofluid thin film flow with Joule dissipation and Navier’s partial slip , 2018, Journal of Physics Communications.

[15]  Rajagopal Ramasubramaniam,et al.  Homogeneous carbon nanotube/polymer composites for electrical applications , 2003 .

[16]  I. Tlili,et al.  Non-equilibrium Model for Nanofluid Free Convection Inside a Porous Cavity Considering Lorentz Forces , 2018, Scientific Reports.

[17]  Z. Shah,et al.  Radiative Heat and Mass Transfer Analysis of Micropolar Nanofluid Flow of Casson Fluid Between Two Rotating Parallel Plates With Effects of Hall Current , 2018, Journal of Heat Transfer.

[18]  Shijun Liao,et al.  Homotopy Analysis Method in Nonlinear Differential Equations , 2012 .

[19]  Ahmed Alsaedi,et al.  Comparative investigation of five nanoparticles in flow of viscous fluid with Joule heating and slip due to rotating disk , 2018 .

[20]  W. Cochran.  The flow due to a rotating disc , 1934, Mathematical Proceedings of the Cambridge Philosophical Society.

[21]  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 .

[22]  T. Kármán.  Über laminare und turbulente Reibung , 1921 .

[23]  Taza Gul,et al.  Impact of thermal radiation on electrical MHD rotating flow of Carbon nanotubes over a stretching sheet , 2019, AIP Advances.

[24]  G. Mellor,et al.  On the flow between a rotating and a stationary disk , 1968, Journal of Fluid Mechanics.

[25]  Noor Saeed Khan,et al.  Slip flow of Eyring-Powell nanoliquid film containing graphene nanoparticles , 2018, AIP Advances.

[26]  Taza Gul,et al.  Three-dimensional rotating flow of MHD single wall carbon nanotubes over a stretching sheet in presence of thermal radiation , 2018, Applied Nanoscience.

[27]  Mustafa Turkyilmazoglu,et al.  Heat and mass transfer of the flow due to a rotating rough and porous disk , 2013 .

[28]  Rahmat Ellahi,et al.  Study of Natural Convection MHD Nanofluid by Means of Single and Multi-Walled Carbon Nanotubes Suspended in a Salt-Water Solution , 2015, IEEE Transactions on Nanotechnology.

[29]  Mustafa Turkyilmazoglu,et al.  Nanofluid flow and heat transfer due to a rotating disk , 2014 .

[30]  Xing Zhang,et al.  Heat transfer and pressure drop of nanofluids containing carbon nanotubes in laminar flows , 2013 .

[31]  S. Nadeem,et al.  Single wall carbon nanotube (SWCNT) examination on blood flow through a multiple stenosed artery with variable nanofluid viscosity , 2015 .

[32]  Gohar Ali,et al.  Entropy Generation on Nanofluid Thin Film Flow of Eyring–Powell Fluid with Thermal Radiation and MHD Effect on an Unsteady Porous Stretching Sheet , 2018, Entropy.

[33]  M. Sheikholeslami,et al.  Lorentz forces effect on NEPCM heat transfer during solidification in a porous energy storage system , 2018, International Journal of Heat and Mass Transfer.

[34]  Omid Ali Akbari,et al.  Heat transfer improvement of water/single-wall carbon nanotubes (SWCNT) nanofluid in a novel design of a truncated double-layered microchannel heat sink , 2017 .

[35]  Mustafa Turkyilmazoglu,et al.  Fluid flow and heat transfer over a rotating and vertically moving disk , 2018, Physics of Fluids.

[36]  T. Hayat,et al.  Numerical study for heat generation/absorption in flow of nanofluid by a rotating disk , 2018 .

[37]  Kai-Long Hsiao,et al.  Nanofluid flow with multimedia physical features for conjugate mixed convection and radiation , 2014 .

[38]  Zahir Shah,et al.  Darcy–Forchheimer flow of micropolar nanofluid between two plates in the rotating frame with non-uniform heat generation/absorption , 2018, Advances in Mechanical Engineering.

[39]  M. Turkyilmazoglu.  Convergence Accelerating in the Homotopy Analysis Method: a New Approach , 2018, Advances in Applied Mathematics and Mechanics.

[40]  Davood Domiri Ganji,et al.  Numerical investigation of nanofluid spraying on an inclined rotating disk for cooling process , 2015 .

[41]  Zahir Shah,et al.  Radiative MHD thin film flow of Williamson fluid over an unsteady permeable stretching sheet , 2018, Heliyon.

[42]  Taza Gul,et al.  Darcy Forchheimer nanofluid thin film flow of SWCNTs and heat transfer analysis over an unsteady stretching sheet , 2019, AIP Advances.