Characteristics of chemical reaction and convective boundary conditions in Powell-Eyring nanofluid flow along a radiative Riga plate

A typical base fluid such as water, oil or glycol is poor conductor of heat due to deficient thermo-physical properties. This deficiency is normally addressed by saturation of thermally strong conductive metallic nanoparticles such as Fe, Ti, Hg, Cu, Au into the base fluid resulting a stronger thermal conductivity, electric conductivity, heat and mass flux of the so formulated nanofluid. Nanoparticles having a diameter size less than 100 nano-meter are preferred in this formulation because these nano-sized particles stay suspended into the base fluid for a longer time-period. This communication aims to investigate the salient features of a nanofluid flow along a radiative Riga plate using Powell-Eyring model and convective boundary conditions. The flow model involves the effect of first order chemical reaction as well as the Brownian motion diffusion and Thermophoresis effects. Governing PDEs are transformed into ODEs using suitable transformations. HAM is applied for convergent series solutions to the boundary value problem. Impact of various parameters including Brownian motion, Thermophoresis, modified Hartman number, Lewis and Prandtl number on flow profiles is analyzed graphically. Parameters of physical interest like Skin-friction, Nusselt and Sherwood numbers are illustrated through numerical data. Effect of modified Hartman number is significant on flow profiles due to involvement of Riga plate. An efficiency is achieved in fluid flow and heat-mass flux through suspension of nanoparticles in base fluid.

[1]  I. Pop,et al.  Effects of Homogeneous–Heterogeneous Reactions on the Viscoelastic Fluid Toward a Stretching Sheet , 2012 .

[2]  D. Ganji,et al.  Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model , 2015 .

[3]  Mohammad Mehdi Rashidi,et al.  Analytical Modelling of Three-Dimensional Squeezing Nanofluid Flow in a Rotating Channel on a Lower Stretching Porous Wall , 2014 .

[4]  Ahmed Alsaedi,et al.  Radiation Effects on the Flow of Powell-Eyring Fluid Past an Unsteady Inclined Stretching Sheet with Non-Uniform Heat Source/Sink , 2014, PloS one.

[5]  Mahmood Sawadi Rahi,et al.  Exponentially Stretching Sheet in a Powell–Eyring Fluid: Numerical and Series Solutions , 2013 .

[6]  J. Merkin,et al.  A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. II Different diffusivities for reactant and autocatalyst , 1995 .

[7]  Ting Zhang,et al.  Influence of Chemical Reaction on Marangoni Convective Flow of Nanoliquid in the Presence of Lorentz Forces and Thermal Radiation: A Numerical Investigation , 2019, Journal of Advances in Nanotechnology.

[8]  T. Hayat,et al.  Magnetohydrodynamic axisymmetric flow of a third-grade fluid between two porous disks , 2013 .

[9]  Davood Domiri Ganji,et al.  Brownian motion and thermophoresis effects on slip flow of alumina/water nanofluid inside a circular microchannel in the presence of a magnetic field , 2014 .

[10]  Rahmat Ellahi,et al.  Effect of magnetic dipole on viscous ferro-fluid past a stretching surface with thermal radiation , 2016 .

[11]  Mudassar Jalil,et al.  Self similar solutions for the flow and heat transfer of Powell-Eyring fluid over a moving surface in a parallel free stream , 2013 .

[12]  Tasawar Hayat,et al.  Magnetohydrodynamic three-dimensional flow of viscoelastic nanofluid in the presence of nonlinear thermal radiation , 2015 .

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

[14]  T. Hayat,et al.  Effects of homogeneous-heterogeneous reactions in flow of Powell-Eyring fluid , 2015 .

[15]  M. Turkyilmazoglu,et al.  Buoyancy effects on nanofluid flow past a convectively heated vertical Riga-plate: A numerical study , 2017 .

[16]  H. Eyring,et al.  Mechanisms for the Relaxation Theory of Viscosity , 1944, Nature.

[17]  Liao Shijun,et al.  Homotopy analysis method: A new analytic method for nonlinear problems , 1998 .

[18]  M. Turkyilmazoglu,et al.  Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids , 2012 .

[19]  John H. Merkin,et al.  A model for isothermal homogeneous-heterogeneous reactions in boundary-layer flow , 1996 .

[20]  Ali J. Chamkha,et al.  Influence of Lorentz forces on nanofluid forced convection considering Marangoni convection , 2017 .

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

[22]  T. Hayat,et al.  Cattaneo–Christov Heat Flux Model For Squeezed Flow Of Third Grade Fluid , 2017 .

[23]  Mustafa Turkyilmazoglu,et al.  Buongiorno model in a nanofluid filled asymmetric channel fulfilling zero net particle flux at the walls , 2018, International Journal of Heat and Mass Transfer.

[24]  T. Hayat,et al.  Interaction of magnetic field in flow of Maxwell nanofluid with convective effect , 2015 .

[25]  R. Bhargava,et al.  Finite Element Study of Eyring-Powell Fluid Flow with Convective Boundary Conditions , 2014 .

[26]  Liancun Zheng,et al.  MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction , 2015 .

[27]  Mohammad Mehdi Rashidi,et al.  Study of nanofluid forced convection heat transfer in a bent channel by means of lattice Boltzmann method , 2018 .

[28]  Davood Domiri Ganji,et al.  MHD mixed convection in a vertical annulus filled with Al2O3–water nanofluid considering nanoparticle migration , 2015 .

[29]  I. Pop,et al.  Flow near the two-dimensional stagnation-point on an infinite permeable wall with a homogeneous–heterogeneous reaction , 2010 .

[30]  Donald A. Nield,et al.  The Cheng–Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid: A revised model , 2013 .

[31]  A. Turab,et al.  Impact of radiation in a stagnation point flow of Walters’ B fluid towards a Riga plate , 2017 .

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

[33]  Mohammad Mehdi Rashidi,et al.  Numerical study of natural convection of a water–alumina nanofluid in inclined C-shaped enclosures under the effect of magnetic field , 2016 .

[34]  T. Hayat,et al.  Radiative flow of Powell–Eyring nanofluid with convective boundary conditions , 2017 .

[35]  Mohammad Mehdi Rashidi,et al.  Entropy Generation on MHD Blood Flow of Nanofluid Due to Peristaltic Waves , 2016, Entropy.

[36]  M. Hussain,et al.  An analysis of Cattaneo-Christov double-diffusion model for Sisko fluid flow with velocity slip , 2017 .

[37]  I. Pop,et al.  Stagnation-point flow of a nanofluid towards a stretching sheet , 2011 .

[38]  T. Sindhu,et al.  Bioconvective MHD flow of tangent hyperbolic nanofluid with newtonian heating , 2017 .

[39]  Rahmat Ellahi,et al.  Effects of MHD on Cu–water nanofluid flow and heat transfer by means of CVFEM , 2014 .

[40]  T. Sindhu,et al.  Statistical study of hydromagnetic boundary layer flow of Williamson fluid regarding a radiative surface , 2017 .

[41]  John H. Merkin,et al.  Homogeneous-heterogeneous reactions in boundary-layer flow: Effects of loss of reactant , 1996 .

[42]  Saleem Asghar,et al.  Flow of nanofluid past a Riga plate , 2016 .

[43]  Ali J. Chamkha,et al.  Non-Darcy natural convection flow for non-Newtonian nanofluid over cone saturated in porous medium with uniform heat and volume fraction fluxes , 2015 .