Three-Dimensional Nanofluid Flow with Heat and Mass Transfer Analysis over a Linear Stretching Surface with Convective Boundary Conditions

In this study, we analyzed the three-dimensional flow of Williamson (pseudoplastic) fluids upon a linear porous stretching sheet. The thermal radiation impact was taken into account. The transformed non-linear equations were solved by the homotopy analysis method (HAM). The influence of the embedded parameters tretching parameter, Williamson parameter, porosity parameter, thermal radiation parameter, thermophoresis parameter, Brownian motion parameter, Prandtl number and Biot number are presented on velocity, temperature and concentration functions in the graphs and explained in detail. The velocity function along the x-direction reduces with the impact of the stretching, porosity and Williamson parameters. Velocity along the y-direction increases with the stretching parameter, while it reduces with the porosity and Williamson parameters. The effect of Skin friction, heat transfer and mass transfer are shown numerically. The numerical values of surface drag force and the impact of different parameters are calculated and it is observed that increasing the stretching parameter and the porosity parameter reduces the surface drag force, while increasing the Williamson parameter augments the surface drag force. Higher values of the stretching parameter, the Prandtl number and the radiation parameter enhance the heat transfer rate, while the augmented value of the thermophoresis and Brownian motion parameters reduces the heat transfer rate, where higher values of the stretching parameter, thermophoresis and Brownian motion parameters enhance the mass transfer rate.

[1]  R. Moradi,et al.  Fe 3 O 4 -Ethylene glycol nanofluid forced convection inside a porous enclosure in existence of Coulomb force , 2018 .

[2]  M. A. El-aziz Thermal-diffusion and diffusion-thermo effects on combined heat and mass transfer by hydromagnetic three-dimensional free convection over a permeable stretching surface with radiation , 2008 .

[3]  Sohail Nadeem,et al.  MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet , 2013 .

[4]  R. Cortell Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet , 2008 .

[5]  Bénard instabilities in a binary-liquid layer evaporating into an inert gas: Stability of quasi-stationary and time-dependent reference profiles , 2011 .

[6]  R. V. Williamson The Flow of Pseudoplastic Materials , 1929 .

[7]  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 .

[8]  R. Narayanan,et al.  The physics of evaporative and convective instabilities in bilayer systems: Linear theory , 2004 .

[9]  S. Mukhopadhyay Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium , 2009 .

[10]  Rahmat Ellahi,et al.  Mathematical Models of Electro-Magnetohydrodynamic Multiphase Flows Synthesis with Nano-Sized Hafnium Particles , 2018 .

[11]  Ioan Pop,et al.  Unsteady flow past a stretching sheet , 1996 .

[12]  M. Sheikholeslami Numerical investigation of nanofluid free convection under the influence of electric field in a porous enclosure , 2018 .

[13]  R. J. Goldstein,et al.  Flow and heat transfer in the boundary layer on a continuous moving surface , 1967 .

[14]  G. Pieters,et al.  Transient growth in linearly stable gravity-driven flow in porous media , 2005 .

[15]  M. Y. Malik,et al.  Three-Dimensional Williamson Fluid Flow over a Linear Stretching Surface , 2017 .

[16]  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 .

[17]  Stanford Shateyi,et al.  Thermal Radiation Effects on Heat and Mass Transfer over an Unsteady Stretching Surface , 2009 .

[18]  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.

[19]  Rizwan Ul Haq,et al.  MHD flow of a Casson fluid over an exponentially shrinking sheet , 2012 .

[20]  E. R. Lapwood Convection of a fluid in a porous medium , 1948, Mathematical Proceedings of the Cambridge Philosophical Society.

[21]  Saman Rashidi,et al.  Sensitivity Analysis of Entropy Generation in Nanofluid Flow inside a Channel by Response Surface Methodology , 2016, Entropy.

[22]  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.

[23]  P. S. Gupta,et al.  Heat and mass transfer on a stretching sheet with suction or blowing , 1977 .

[24]  Muhammad Idress,et al.  Magnetohydrodynamic CNTs Casson Nanofluid and Radiative heat transfer in a Rotating Channels , 2018 .

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

[26]  M. A. El-aziz Radiation effect on the flow and heat transfer over an unsteady stretching sheet , 2009 .

[27]  Mohammad Mehdi Rashidi,et al.  Entropy Generation on MHD Eyring-Powell Nanofluid through a Permeable Stretching Surface , 2016, Entropy.

[28]  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 .

[29]  Stephen U. S. Choi,et al.  Role of Brownian motion in the enhanced thermal conductivity of nanofluids , 2004 .

[30]  Rahmat Ellahi,et al.  The Sustainable Characteristic of Bio-Bi-Phase Flow of Peristaltic Transport of MHD Jeffrey Fluid in the Human Body , 2018, Sustainability.

[31]  Mohsen Sheikholeslami,et al.  Magnetohydrodynamic nanofluid forced convection in a porous lid driven cubic cavity using Lattice Boltzmann method , 2017 .

[32]  B. Moghtaderi,et al.  Effect of Nanoconvection Caused by Brownian Motion on the Enhancement of Thermal Conductivity in Nanofluids , 2012 .

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

[34]  Aisha M. Alqahtani,et al.  Heat Transfer Investigation of the Unsteady Thin Film Flow of Williamson Fluid Past an Inclined and Oscillating Moving Plate , 2017 .

[35]  I. Pop,et al.  Heat transfer over a stretching surface with variable heat flux in micropolar fluids , 2008 .

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

[37]  Mohsen Sheikholeslami,et al.  Magnetic field influence on nanofluid thermal radiation in a cavity with tilted elliptic inner cylinder , 2017 .

[38]  Thirumalachari Sundararajan,et al.  Rheological and flow characteristics of nanofluids: Influence of electroviscous effects and particle agglomeration , 2009 .

[39]  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.

[40]  Joseph A. C. Delaney Sensitivity analysis , 2018, The African Continental Free Trade Area: Economic and Distributional Effects.

[41]  N. Sandeep,et al.  Similarity solution of 3D Casson nanofluid flow over a stretching sheet with convective boundary conditions , 2016 .

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

[43]  Rahmat Ellahi,et al.  Convective heat transfer flow of nanofluid in a porous medium over wavy surface , 2018, Physics Letters A.

[44]  Sébastien Poncet,et al.  Further Investigation on Laminar Forced Convection of Nanofluid Flows in a Uniformly Heated Pipe Using Direct Numerical Simulations , 2016 .

[45]  Ilyas Khan,et al.  On the thermal analysis of magnetohydrodynamic Jeffery fluid via modern non integer order derivative , 2019, Journal of King Saud University - Science.

[46]  Sohail Nadeem,et al.  Peristaltic flow of a Williamson fluid in an asymmetric channel , 2010 .

[47]  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.

[48]  G. Lebon,et al.  The role of several heat transfer mechanisms on the enhancement of thermal conductivity in nanofluids , 2016 .

[49]  P. Donald Ariel,et al.  The three-dimensional flow past a stretching sheet and the homotopy perturbation method , 2007, Comput. Math. Appl..

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