On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk

Abstract A new model is here proposed to investigate the effects of nano-ferroliquid under the influence of low oscillating over stretchable rotating disk. The basic governing equations are formulated under the effects of magnetic field. The resulting system of partial differential equations is first reduced in non-dimensional form by using proper transformations and then reduced coupled system of differential equations is solved analytically by means of homotopy analysis method (HAM). The physical interpretation of velocity and temperature towards different emerging parameters such as particle concentration and effective magnetization parameter are discussed graphically. The physical parameters such as shear stress at wall, heat transfer rate through wall, boundary layer thickness and volume flow rate in axial direction are also presented in tabular form. Finally a comparison with the existing literature is made as a limiting case of the reported problem and found in good agreement.

[1]  I. Pop,et al.  A review of the applications of nanofluids in solar energy , 2013 .

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

[3]  H. Schlichting.  Boundary Layer Theory , 1955 .

[4]  Rahmat Ellahi,et al.  Unsteady ferromagnetic liquid flow and heat transfer analysis over a stretching sheet with the effect of dipole and prescribed heat flux , 2016 .

[5]  A. Engel,et al.  Ferrofluids as thermal ratchets. , 2002, Physical review letters.

[6]  Rahmat Ellahi,et al.  Aggregation effects on water base Al2O3—nanofluid over permeable wedge in mixed convection , 2016 .

[7]  Azizah Mohd Rohni,et al.  Blasius and Sakiadis problems in nanofluids , 2011 .

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

[9]  R. Ellahi,et al.  Two phase simulation and sensitivity analysis of effective parameters on combined heat transfer and pressure drop in a solar heat exchanger filled with nanofluid by RSM , 2016 .

[10]  R. Ellahi,et al.  NON-NEWTONIAN NANOFLUID FLOW THROUGH A POROUS MEDIUM BETWEEN TWO COAXIAL CYLINDERS WITH HEAT TRANSFER AND VARIABLE VISCOSITY , 2013 .

[11]  A. Gupta,et al.  Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis , 1979 .

[12]  Zulfiqar Ali Zaidi,et al.  On heat and mass transfer analysis for the flow of a nanofluid between rotating parallel plates , 2015 .

[13]  Rahmat Ellahi,et al.  Study of variable magnetic field on the peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct having compliant walls , 2016 .

[14]  A. Ramanathan,et al.  Effect of magnetic field dependent viscosity and anisotropy of porous medium on ferroconvection , 2004 .

[15]  A. Ramanathan,et al.  Effect of magnetic field dependent viscosity on ferroconvection in rotating medium , 2002 .

[16]  A. Bhandari,et al.  Effect of magnetic field-dependent viscosity on revolving ferrofluid , 2010 .

[17]  Saman Rashidi,et al.  A sensitivity analysis on thermal and pumping power for the flow of nanofluid inside a wavy channel , 2016 .

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

[19]  Navid Freidoonimehr,et al.  Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm , 2013 .

[20]  Sohail Nadeem,et al.  Blood flow of Jeffrey fluid in a catherized tapered artery with the suspension of nanoparticles , 2014 .

[21]  M. Shliomis,et al.  Negative viscosity of ferrofluid under alternating magnetic field , 1994 .

[22]  P. Ram,et al.  On the low-reynolds number magnetic fluid flow in a helical pipe☆ , 1993 .