Three Dimensional MHD Ferrous Nanofluid Flow Over a Sheet of Variable Thickness in Slip Flow Regime

In the present paper, we analyzed the effects of magnetic field on the three dimensional flow of a nanofluid having the suspension of ferrous nano-particles within the framework of a non-uniformly thicked sheet in a slip flow regime. The sheet of variable thickness is assumed to be stretched in horizontal and transverse directions. The effects of thermophoretic forces and Brownian motion have also been incorporated into the governing equations. The RK-Fehlberg-integration scheme with shooting technique is employed to resolve the altered governing non-linear differential equations. Velocity, temperature and concentration profiles are presented and discussed for two cases namely uniform thickness stretching sheet UTSS (n = 1) and variable thickness stretching sheet VTSS (n ≠ 1), and skin friction coefficient, reduced Nusselt number and Sherwood number are computed and analyzed through tables. The results reveal that heat and mass transfer processes over slendering sheet matches with those over a flat sheet in the presence of slip flow regime.

[1]  Mohsen Sheikholeslami,et al.  Nonlinear thermal radiation and cubic autocatalysis chemical reaction effects on the flow of stretched nanofluid under rotational oscillations. , 2017, Journal of colloid and interface science.

[2]  Mohammad Mehdi Rashidi,et al.  MHD flow and heat transfer characteristics of Williamson nanofluid over a stretching sheet with variable thickness and variable thermal conductivity , 2017 .

[3]  Rakesh Kumar,et al.  Combined influence of fluctuations in the temperature and stretching velocity of the sheet on MHD flow of Cu-water nanofluid through rotating porous medium with cubic auto-catalysis chemical reaction , 2017 .

[4]  N. Sandeep,et al.  Effect of frictional heating on radiative ferrofluid flow over a slendering stretching sheet with aligned magnetic field , 2017 .

[5]  C. Raju,et al.  Unsteady magneto-nanofluid flow caused by a rotating cone with temperature dependent viscosity: A surgical implant application , 2016 .

[6]  Tasawar Hayat,et al.  Flow of nanofluid due to convectively heated Riga plate with variable thickness , 2016 .

[7]  N. Sandeep,et al.  MHD non-Newtonian fluid flow over a slendering stretching sheet in the presence of cross-diffusion effects , 2016 .

[8]  Rakesh Kumar,et al.  Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet , 2016 .

[9]  C. Raju,et al.  Stagnation-Point Flow of a Ferrofluid Towards a Stretching Sheet , 2016 .

[10]  S. Devi,et al.  Slip Flow Effects over Hydromagnetic Forced Convective Flow over a Slendering Stretching Sheet , 2016 .

[11]  V. Sugunamma,et al.  Dual solutions for three-dimensional MHD flow of a nanofluid over a nonlinearly permeable stretching sheet , 2016 .

[12]  T. Hayat,et al.  Rotating Flow of Magnetite-Water Nanofluid over a Stretching Surface Inspired by Non-Linear Thermal Radiation , 2016, PloS one.

[13]  A. Falana,et al.  Effect of Brownian Motion and Thermophoresis on a Nonlinearly Stretching Permeable Sheet in a Nanofluid , 2016 .

[14]  M. Prakash,et al.  Thermal radiation effects on hydromagnetic flow over a slendering stretching sheet , 2016 .

[15]  Muhammad Farooq,et al.  Melting heat transfer in stagnation point flow of carbon nanotubes towards variable thickness surface , 2016 .

[16]  N. Sandeep,et al.  Dual solutions for radiative MHD forced convective flow of a nanofluid over a slendering stretching sheet in porous medium , 2015 .

[17]  Tasawar Hayat,et al.  Three-dimensional flow of nanofluid over a non-linearly stretching sheet: An application to solar energy , 2015 .

[18]  N. Sandeep,et al.  Effects of aligned magneticfield and radiation on the flow of ferrofluids over a flat plate with non-uniform heat source/sink , 2015 .

[19]  Rizwan Ul Haq,et al.  Thermophysical effects of carbon nanotubes on MHD flow over a stretching surface , 2014 .

[20]  D. Ganji,et al.  Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet , 2014 .

[21]  A. Megahed,et al.  Numerical solution for boundary layer flow due to a nonlinearly stretching sheet with variable thickness and slip velocity , 2013 .

[22]  I. Pop,et al.  Fully Developed Mixed Convection in a Vertical Channel Filled by a Nanofluid , 2012 .

[23]  Ji Zhang,et al.  Boundary layer flow over a stretching sheet with variable thickness , 2012, Appl. Math. Comput..

[24]  I. Pop,et al.  Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium , 2010 .

[25]  Donald A. Nield,et al.  The Cheng–Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid , 2009 .

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

[27]  Hanumesh Vaidya,et al.  MHD flow and heat transfer in a nanofluid over a slender elastic sheet with variable thickness , 2017 .

[28]  Tasawar Hayat,et al.  MHD flow of Powell-Eyring nanofluid over a non-linear stretching sheet with variable thickness , 2017 .

[29]  C. Raju,et al.  Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles: A numerical study , 2017 .

[30]  Rakesh Kumar,et al.  EFFECT OF QUADRATIC DENSITY VARIATION ON MIXED CONVECTION STAGNATION POINT HEAT TRANSFER AND MHD FLUID FLOW IN POROUS MEDIUM TOWARDS A PERMEABLE SHRINKING SHEET , 2016 .

[31]  A. Abbassi,et al.  Investigating the effect of Brownian motion and viscous dissipation on the nanofluid heat transfer in a trapezoidal microchannel heat sink , 2015 .

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