MHD flow of dusty nanofluid over a stretching surface with volume fraction of dust particles

Abstract In this study we analyzed the momentum and heat transfer behavior of MHD nanofluid embedded with conducting dust particles past a stretching surface in the presence of volume fraction of dust particles. The governing equations of the flow and heat transfer are transformed into nonlinear ordinary differential equations by using similarity transformation and then solved numerically using Runge–Kutta based shooting technique. The effect of non-dimensional governing parameters on velocity and temperature profiles of the flow are discussed and presented through graphs. Additionally friction factor and the Nusselt number have also been computed. Under some special conditions, numerical results obtained by the present study were compared with the existed studies. The result of the present study proves to be highly satisfactory. The results indicate that an increase in the interaction between the fluid and particle phase enhances the heat transfer rate and reduces the friction factor.

[1]  N. Sandeep,et al.  Radiation and Magneticfield effects on Unsteady Natural Convection Flow of a Nanofluid Past an Infinite Vertical Plate with Heat Source , 2014 .

[2]  M. Y. Waziri,et al.  MHD EFFECTS ON CONVECTIVE FLOW OF DUSTY VISCOUS FLUID WITH VOLUME FRACTION OF DUST PARTICLES , 2010 .

[3]  Novel preparation of PLGA/HP55 nanoparticles for oral insulin delivery , 2012, Nanoscale Research Letters.

[4]  N. Sandeep,et al.  Magnetic Field and Chemical Reaction Effects on Convective Flow of Dusty Viscous Fluid , 2013 .

[5]  Sohail Nadeem,et al.  Numerical study of MHD boundary layer flow of a Maxwell fluid past a stretching sheet in the presence of nanoparticles , 2013 .

[6]  N. Sandeep,et al.  Effects of Radiation on an Unsteady Natural Convective Flow of a EG-Nimonic 80a Nanofluid Past an Infinite Vertical Plate , 2013 .

[7]  D. Dalal,et al.  Unsteady natural convection of a dusty fluid in an infinite rectangular channel , 1998 .

[8]  M. Hajmohammadi,et al.  Conjugate Forced Convection Heat Transfer From a Heated Flat Plate of Finite Thickness and Temperature- Dependent Thermal Conductivity , 2014 .

[9]  Ioan Pop,et al.  Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid , 2014, Scientific Reports.

[10]  Fathi M. Allan,et al.  Dusty gas model of flow through naturally occurring porous media , 2004, Appl. Math. Comput..

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

[12]  D. Dalal,et al.  Pulsatile flow and heat transfer of a dusty fluid through an infinitely long annular pipe , 1995 .

[13]  Mohammad Reza Hajmohammadi,et al.  Analytical solution for two-phase flow between two rotating cylinders filled with power law liquid and a micro layer of gas , 2014 .

[14]  Oluwole Daniel Makinde,et al.  Buoyancy effects on {MHD} stagnation point flow and heat transfer of a nanofluid past a convectively , 2013 .

[15]  Hamid Maleki,et al.  Effects of Cu and Ag nano-particles on flow and heat transfer from permeable surfaces , 2015 .

[16]  Zafar Hayat Khan,et al.  Effect of Variable Thermal Conductivity on Heat Transfer From a Hollow Sphere With Heat Generation Using Homotopy Perturbation Method , 2008 .

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

[18]  Sohail Nadeem,et al.  Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition , 2013 .

[19]  S. S. Nourazar,et al.  On the solution of characteristic value problems arising in linear stability analysis; semi analytical approach , 2014, Appl. Math. Comput..

[20]  M. R. Hajmohammadi,et al.  Semi-analytical treatments of conjugate heat transfer , 2013 .

[21]  R. N. Jat,et al.  MHD Flow and Heat Transfer over a Stretching Sheet , 2009 .

[22]  H. Oztop,et al.  Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids , 2008 .

[23]  S. M. AbdEl-Gaied,et al.  Radiation effect on viscous flow of a nanofluid and heat transfer over a nonlinearly stretching sheet , 2012, Nanoscale Research Letters.

[24]  P. Saffman,et al.  On the stability of laminar flow of a dusty gas , 1962, Journal of Fluid Mechanics.

[25]  Sohail Nadeem,et al.  Numerical solutions of Magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet , 2013, Indian Journal of Physics.

[26]  F. E. Marble Dynamics of Dusty Gases , 1970 .

[27]  Arun S. Mujumdar,et al.  A review on nanofluids - part II: experiments and applications , 2008 .

[28]  M. R. Hajmohammadi,et al.  On the insertion of a thin gas layer in micro cylindrical Couette flows involving power-law liquids , 2014 .

[29]  M. Subhas Abel,et al.  Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation , 2008 .

[30]  A. Gupta,et al.  HYDROMAGNETIC FLOW AND HEAT TRANSFER OVER A STRETCHING SHEET , 1979 .

[31]  M. Ghalambaz,et al.  Effects of heat generation/absorption on natural convection of nanofluids over the vertical plate embedded in a porous medium using drift-flux model , 2014 .