Magnetohydrodynamic three-dimensional flow of nanofluids with slip and thermal radiation over a nonlinear stretching sheet: a numerical study

A numerical simulation for mixed convective three-dimensional slip flow of water-based nanofluids with temperature jump boundary condition is presented. The flow is caused by nonlinear stretching surface. Conservation of energy equation involves the radiation heat flux term. Applied transverse magnetic effect of variable kind is also incorporated. Suitable nonlinear similarity transformations are used to reduce the governing equations into a set of self-similar equations. The subsequent equations are solved numerically by using shooting method. The solutions for the velocity and temperature distributions are computed for several values of flow pertinent parameters. Further, the numerical values for skin-friction coefficients and Nusselt number in respect of different nanoparticles are tabulated. A comparison between our numerical and already existing results has also been made. It is found that the velocity and thermal slip boundary condition showed a significant effect on momentum and thermal boundary layer thickness at the wall. The presence of nanoparticles stabilizes the thermal boundary layer growth.

[1]  Xianfan Xu,et al.  Thermal Conductivity of Nanoparticle -Fluid Mixture , 1999 .

[2]  Abdul Aziz,et al.  MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition , 2010 .

[3]  Ioan Pop,et al.  Three-dimensional flow of a power-law fluid due to a stretching flat surface , 1995 .

[4]  William W. Yu,et al.  ANOMALOUSLY INCREASED EFFECTIVE THERMAL CONDUCTIVITIES OF ETHYLENE GLYCOL-BASED NANOFLUIDS CONTAINING COPPER NANOPARTICLES , 2001 .

[5]  T. Hayat,et al.  On Three-Dimensional Flow and Heat Transfer over a Non-Linearly Stretching Sheet: Analytical and Numerical Solutions , 2014, PloS one.

[6]  I. Pop,et al.  Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet , 2006 .

[7]  M. J. Uddin,et al.  Group analysis and numerical computation of magneto-convective non-Newtonian nanofluid slip flow from a permeable stretching sheet , 2014, Applied Nanoscience.

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

[9]  Davood Domiri Ganji,et al.  Investigation of squeezing unsteady nanofluid flow using ADM , 2013 .

[10]  Chao-Yang Wang,et al.  The three‐dimensional flow due to a stretching flat surface , 1984 .

[11]  T. Hayat,et al.  Magnetohydrodynamic Mixed Convection Flow of Thixotropic Fluid with Thermophoresis and Joule Heating , 2013 .

[12]  Tasawar Hayat,et al.  MHD Mixed Convective Peristaltic Motion of Nanofluid with Joule Heating and Thermophoresis Effects , 2014, PloS one.

[13]  T. Hayat,et al.  Similarity solution to three dimensional boundary layer flow of second grade nanofluid past a stretching surface with thermal radiation and heat source/sink , 2015 .

[14]  R. Nazar,et al.  Magnetohydrodynamic Three-Dimensional Flow and Heat Transfer over a Stretching Surface in a Viscoelastic Fluid , 2011 .

[15]  O. Makinde,et al.  UNSTEADY MIXED CONVECTION WITH SORET AND DUFOUR EFFECTS PAST A POROUS PLATE MOVING THROUGH A BINARY MIXTURE OF CHEMICALLY REACTING FLUID , 2011 .

[16]  Rabindra Nath Jana,et al.  Natural convective magneto-nanofluid flow and radiative heat transfer past a moving vertical plate , 2015 .

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

[18]  I. Pop,et al.  Three-dimensional flow over a stretching surface in a viscoelastic fluid , 2008 .

[19]  T. Hayat,et al.  MHD three-dimensional flow of couple stress fluid with Newtonian heating , 2013 .

[20]  Tao Fan,et al.  Analysis of three-dimensional boundary-layer nanofluid flow and heat transfer over a stretching surface by means of the homotopy analysis method , 2015 .

[21]  Ahmed Alsaedi,et al.  MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation , 2015 .

[22]  Ioan Pop,et al.  Flow and heat transfer at a general three-dimensional stagnation point in a nanofluid , 2010 .

[23]  N. Galanis,et al.  Heat transfer enhancement by using nanofluids in forced convection flows , 2005 .

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

[25]  I. A. Hassanien,et al.  Mixed convection boundary layer flow of a micropolar fluid on a horizontal plate with vectored mass transfer , 1994 .

[26]  Tasawar Hayat,et al.  Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects , 2014 .

[27]  H. Brinkman.  The Viscosity of Concentrated Suspensions and Solutions , 1952 .

[28]  Davood Domiri Ganji,et al.  Heat transfer of Cu-water nanofluid flow between parallel plates , 2013 .

[29]  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 .

[30]  I. Pop,et al.  Series solutions of unsteady free convection flow in the stagnation-point region of a three-dimensional body , 2008 .

[31]  Xinxin Zhang,et al.  Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium , 2013, J. Frankl. Inst..

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

[33]  Tasawar Hayat,et al.  On model for three-dimensional flow of nanofluid: An application to solar energy , 2014 .

[34]  Sabir Ali Shehzad,et al.  Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary , 2016 .

[35]  F. M. Abbasi,et al.  Model and comparative study for peristaltic transport of water based nanofluids , 2015 .

[36]  B. J. Gireesha,et al.  Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension , 2016, Ain Shams Engineering Journal.

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

[38]  B. J. Gireesha,et al.  Mixed convection squeezing three-dimensional flow in a rotating channel filled with nanofluid , 2016 .

[39]  D. Meade,et al.  The Shooting Technique for the Solution of Two-Point Boundary Value Problems , 2007 .

[40]  Kalidas Das,et al.  Slip flow and convective heat transfer of nanofluids over a permeable stretching surface , 2012 .

[41]  B. J. Gireesha,et al.  Suspended Particle Effect on Nanofluid Boundary Layer Flow Past a Stretching Surface , 2014 .