Convective radiative plane Poiseuille flow of nanofluid through porous medium with slip: An application of Stefan blowing

Abstract Effects of second order slip on plane Poiseuille nanofluid under the influence of Stefan blowing in a channel are discovered in this study. The starring role of heat transfer, magnetic field and porosity are all together taken into account. The mathematical modeling is performed via Buongiorno's model. The effectual reliability of analytical solutions derived by homotopy analysis method is verified through h-curves as well as by means of residual errors norms in each case. Impact of physical factors is examined via graphs numerical tables. The slowing down effects of Stefan blowing are significantly seen for velocity and temperature profiles whereas opposite characteristic for the case of nanoparticle concentrations is noticed. Also an extra sensitivity in the field of velocity is observed for second- order slip as compared to first order -slip.

[1]  Rahmat Ellahi,et al.  Structural impact of kerosene-Al2O3 nanoliquid on MHD Poiseuille flow with variable thermal conductivity: Application of cooling process , 2018 .

[2]  K. Vafai,et al.  Modelling study on heated couple stress fluid peristaltically conveying gold nanoparticles through coaxial tubes: A remedy for gland tumors and arthritis , 2018, Journal of Molecular Liquids.

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

[4]  Ioan Pop,et al.  Conjugate natural convection in a square porous cavity filled by a nanofluid using Buongiorno’s mathematical model , 2014 .

[5]  George Em Karniadakis,et al.  Rarefaction and Compressibility Effects in Gas Microflows , 1996 .

[6]  G. Karniadakis,et al.  Simulation of Heat and Momentum Transfer in Complex Microgeometries , 1994 .

[7]  Ioan Pop,et al.  Flow and heat transfer over a vertical permeable stretching/shrinking sheet with a second order slip , 2013 .

[8]  K. S. Gage,et al.  The stability of thermally stratified plane Poiseuille flow , 1968, Journal of Fluid Mechanics.

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

[10]  Liancun Zheng,et al.  Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction , 2015 .

[11]  M. Turkyilmazoglu.  Heat and mass transfer of MHD second order slip flow , 2013 .

[12]  M. M. Bhatti,et al.  Simultaneous effects of chemical reaction and Ohmic heating with heat and mass transfer over a stretching surface: A numerical study , 2017 .

[13]  I. Pop,et al.  Boundary layer flow of a nanofluid past a permeable exponentially shrinking/stretching surface with second order slip using Buongiorno’s model , 2014 .

[14]  Mohammad Mehdi Rashidi,et al.  A New Numerical Simulation of MHD Stagnation-Point Flow Over a Permeable Stretching/Shrinking Sheet in Porous Media with Heat Transfer , 2017 .

[15]  Gopal Chandra Shit,et al.  Electromagnetohydrodynamic flow of blood and heat transfer in a capillary with thermal radiation , 2015 .

[16]  S. Liao,et al.  Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .

[17]  M. M. Bhatti,et al.  Interaction of aluminum oxide nanoparticles with flow of polyvinyl alcohol solutions base nanofluids over a wedge , 2018, Applied Nanoscience.

[18]  Tiegang Fang.  Flow and Mass Transfer for an Unsteady Stagnation-Point Flow Over a Moving Wall Considering Blowing Effects , 2014 .

[19]  Sandile S. Motsa,et al.  MIXED CONVECTION FLOW OF COUPLE STRESS FLUID IN A VERTICAL CHANNEL WITH RADIATION AND SORET EFFECTS , 2016 .

[20]  Andreas Öchsner,et al.  The effect of a dipolar structure on the Hölder stability in Green–Naghdi thermoelasticity , 2017 .

[21]  Nehad Ali Shah,et al.  COMBINED POROUS AND MAGNETIC EFFECTS ON SOME FUNDAMENTAL MOTIONS OF NEWTONIAN FLUIDS OVER AN INFINITE PLATE , 2018 .

[22]  Rahmat Ellahi,et al.  Convective heat transfer of nanofluid in a wavy channel: Buongiorno's mathematical model , 2016 .

[23]  Mohammad Mehdi Rashidi,et al.  Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet , 2016 .

[24]  G. Karniadakis,et al.  Microflows and Nanoflows: Fundamentals and Simulation , 2001 .

[25]  Jing Zhu,et al.  Effects of second order velocity slip and nanoparticles migration on flow of Buongiorno nanofluid , 2016, Appl. Math. Lett..

[26]  S. R. Mahmoud,et al.  Modeling a Microstretch Thermoelastic Body with Two Temperatures , 2013 .

[27]  M. Sheikholeslami.  CuO-water nanofluid flow due to magnetic field inside a porous media considering Brownian motion , 2018 .

[28]  Rahmat Ellahi,et al.  Heat transfer analysis in ferromagnetic viscoelastic fluid flow over a stretching sheet with suction , 2016, Neural Computing and Applications.

[29]  Rahmat Ellahi,et al.  On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk , 2017 .

[30]  Abdul Aziz,et al.  Viscous flow over a shrinking sheet with a second order slip flow model , 2010 .

[31]  D. Tripathi,et al.  Electroosmotic flow of Williamson ionic nanoliquids in a tapered microfluidic channel in presence of thermal radiation and peristalsis , 2018 .

[32]  R. Ellahi,et al.  Effects of MHD and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation , 2018, Journal of Taibah University for Science.

[33]  K. Vajravelu,et al.  On the selection of auxiliary functions, operators, and convergence control parameters in the application of the Homotopy Analysis Method to nonlinear differential equations: A general approach , 2009 .

[34]  M. M. Bhatti,et al.  Inspiration of slip effects on electromagnetohydrodynamics (EMHD) nanofluid flow through a horizontal Riga plate , 2016 .

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

[36]  Rahmat Ellahi,et al.  Analysis of activation energy in Couette-Poiseuille flow of nanofluid in the presence of chemical reaction and convective boundary conditions , 2018 .

[37]  B. J. Gireesha,et al.  Hall effects on dusty nanofluid two-phase transient flow past a stretching sheet using KVL model , 2018 .

[38]  M. Marin.  An approach of a heat-flux dependent theory for micropolar porous media , 2016 .

[39]  O. Anwar Bég,et al.  Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects , 2016, Comput. Math. Appl..

[40]  Saman Rashidi,et al.  Opposition of Magnetohydrodynamic and AL2O3–water nanofluid flow around a vertex facing triangular obstacle , 2016 .

[41]  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 .

[42]  Wubshet Ibrahim,et al.  MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions , 2013 .