Hydromagnetic couple-stress nanofluid flow over a moving convective wall: OHAM analysis

Abstract This communication presents the magnetohydrodynamics (MHD) flow of a couple-stress nanofluid over a convective moving wall. The flow dynamics are analyzed in the boundary layer region. Convective cooling phenomenon combined with thermophoresis and Brownian motion effects has been discussed. Similarity transforms are utilized to convert the system of partial differential equations into coupled non-linear ordinary differential equation. Optimal homotopy analysis method (OHAM) is utilized and the concept of minimization is employed by defining the average squared residual errors. Effects of couple-stress parameter, convective cooling process parameter and energy enhancement parameters are displayed via graphs and discussed in detail. Various tables are also constructed to present the error analysis and a comparison of obtained results with the already published data. Stream lines are plotted showing a difference of Newtonian fluid model and couplestress fluid model.

[1]  S. Arabia,et al.  Unsteady three dimensional flow of couple stress fluid over a stretching surface with chemical reaction , 2012 .

[2]  T. Hayat,et al.  Thermophoresis and Heat Generation/Absorption in Flow of Third Grade Nanofluid , 2015 .

[3]  Mohammad Ferdows,et al.  Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: A Lie group analysis , 2012 .

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

[5]  Dharmendra Tripathi,et al.  MHD dissipative flow and heat transfer of Casson fluids due to metachronal wave propulsion of beating cilia with thermal and velocity slip effects under an oblique magnetic field , 2016 .

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

[7]  Saeid Abbasbandy,et al.  Mathematical properties of ℏ-curve in the frame work of the homotopy analysis method , 2011 .

[8]  M. A. Abdou,et al.  New Applications of the Homotopy Analysis Method , 2008 .

[9]  M. Awais,et al.  NEWTONIAN HEATING, THERMAL-DIFFUSION AND DIFFUSION-THERMO EFFECTS IN AN AXISYMMETRIC FLOW OF A JEFFERY FLUID OVER A STRETCHING SURFACE , 2015 .

[10]  S Nadeem,et al.  Analytical study of third grade fluid over a rotating vertical cone in the presence of nanoparticles , 2015 .

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

[12]  Mohammad Mehdi Rashidi,et al.  Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk , 2011 .

[13]  Mohammad Mehdi Rashidi,et al.  Study of pulsatile flow in a porous annulus with the homotopy analysis method , 2012 .

[14]  C. Sulochana,et al.  Dual solutions for unsteady mixed convection flow of MHD micropolar fluid over a stretching/shrinking sheet with non-uniform heat source/sink , 2015 .

[15]  R. Bhargava,et al.  Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study , 2012 .

[16]  Sohail Nadeem,et al.  Theoretical analysis of slip flow on a rotating cone with viscous dissipation effects , 2015 .

[17]  N. Sandeep,et al.  Transpiration effect on stagnation-point flow of a Carreau nanofluid in the presence of thermophoresis and Brownian motion , 2016 .

[18]  T. Hayat,et al.  Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions , 2012 .

[19]  H. Masuda,et al.  ALTERATION OF THERMAL CONDUCTIVITY AND VISCOSITY OF LIQUID BY DISPERSING ULTRA-FINE PARTICLES. DISPERSION OF AL2O3, SIO2 AND TIO2 ULTRA-FINE PARTICLES , 1993 .

[20]  M. Awais,et al.  Time-dependent three-dimensional boundary layer flow of a Maxwell fluid , 2014 .

[21]  T. Hayat,et al.  Soret and Dufour effects for three-dimensional flow in a viscoelastic fluid over a stretching surface , 2012 .

[22]  S. Abbasbandy,et al.  A new application of the homotopy analysis method: Solving the Sturm–Liouville problems , 2011 .

[23]  O. Koriko,et al.  Modified kinematic viscosity model for 3D-Casson fluid flow within boundary layer formed on a surface at absolute zero , 2016 .

[24]  Mohammad Mehdi Rashidi,et al.  Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method , 2010 .

[25]  N. Sandeep,et al.  Double Diffusive Mixed Convection in a Couple Stress Fluids with Variable Fluid Properties , 2015 .

[26]  N. Sandeep,et al.  3D MHD slip flow of a nanofluid over a slendering stretching sheet with thermophoresis and Brownian motion effects , 2016 .

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

[28]  T. Hayat,et al.  Mixed convection flow of viscoelastic nanofluid over a stretching cylinder , 2015 .