Study of Heat Transfer with Nonlinear Thermal Radiation on Sinusoidal Motion of Magnetic Solid Particles in a Dusty Fluid

Abstract In this article, heat transfer with nonlinear thermal radiation on sinusoidal motion of magnetic solid particles in a dust Jeffrey fluid has been studied. The effects of Magnetohydrodynamic (MHD) and hall current are also taken under consideration. The governing equation of motion and energy equation are modelled with help of Ohms law for fluid and dust phases. The solutions of the resulting ordinary coupled partial differential equations are solved analytically. The impact of all the physical parameters of interest such as Hartmann number, slip parameter, Hall parameter, radiation parameter, Prandtl number, Eckert number and particle volume fraction are demonstrated mathematically and graphically. Trapping mechanism is also discussed in detail by drawing contour lines. The present analysis affirms many interesting behaviours, which permit further study on solid particles motion with heat and mass transfer.

[1]  Mohammad Mehdi Rashidi,et al.  Ferrofluid flow and heat transfer in a semi annulus enclosure in the presence of magnetic source considering thermal radiation , 2015 .

[2]  M. H. Kamel,et al.  Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel , 2015, Applied bionics and biomechanics.

[3]  M. Sheikholeslami,et al.  Two-Phase Simulation of Nanofluid Flow and Heat Transfer in an Annulus in the Presence of an Axial Magnetic Field , 2015, IEEE Transactions on Nanotechnology.

[4]  Davood Domiri Ganji,et al.  Entropy generation of nanofluid in presence of magnetic field using Lattice Boltzmann Method , 2015 .

[5]  T. Hayat,et al.  MHD free convection of Al2O3–water nanofluid considering thermal radiation: A numerical study , 2016 .

[6]  Davood Domiri Ganji,et al.  Magnetohydrodynamic flow in a permeable channel filled with nanofluid , 2014 .

[7]  D. Ganji,et al.  Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer , 2014 .

[8]  Kh. S. Mekheimer,et al.  PARTICULATE SUSPENSION FLOW INDUCED BY SINUSOIDAL PERISTALTIC WAVES THROUGH ECCENTRIC CYLINDERS: THREAD ANNULAR , 2013 .

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

[10]  Mohammad Mehdi Rashidi,et al.  Effect of non-uniform magnetic field on forced convection heat transfer of Fe3O4–water nanofluid , 2015 .

[11]  Shirley Abelman,et al.  Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation , 2014 .

[12]  Kh. S. Mekheimer,et al.  Peristaltic Motion of a Particle-Fluid Suspension in a Planar Channel , 1998 .

[14]  Tasawar Hayat,et al.  The influence of wall properties on the MHD peristaltic flow of a Maxwell fluid with heat and mass transfer , 2010 .

[15]  K. Mekheimer,et al.  Peristaltic transport of a particle--fluid suspension through a uniform and non-uniform annulus , 2008 .

[16]  Mohsen Sheikholeslami Kandelousi KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel , 2014 .

[18]  Mohsen Sheikholeslami Kandelousi Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition , 2014 .

[19]  K. Mekheimer,et al.  Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope , 2008 .

[20]  D. Ganji,et al.  Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model , 2015 .

[21]  S. Mekheimer,et al.  NON-LINEAR PERISTALTIC TRANSPORT OF MAGNETOHYDRODYNAMIC FLOW IN AN INCLINED PLANAR CHANNEL , 2003 .

[22]  T. Hayat,et al.  Influence of thermal radiation and Joule heating on MHD flow of a Maxwell fluid in the presence of thermophoresis , 2010 .

[23]  D. Ganji,et al.  Unsteady nanofluid flow and heat transfer in presence of magnetic field considering thermal radiation , 2015 .

[24]  V. P. Srivastava,et al.  Particulate Suspension Flow Induced by Sinusoidal Peristaltic Waves. , 1997 .

[25]  Mohammad Mehdi Rashidi,et al.  Three dimensional peristaltic flow of hyperbolic tangent fluid in non-uniform channel having flexible walls , 2016 .

[26]  M. M. Bhatti,et al.  Peristaltic Flow of Couple Stress Fluid in a Non-Uniform Rectangular Duct Having Compliant Walls , 2016 .

[27]  Rahmat Ellahi,et al.  Simulation of Ferrofluid Flow for Magnetic Drug Targeting Using the Lattice Boltzmann Method , 2015 .

[28]  Mohammad Mehdi Rashidi,et al.  Numerical investigation of magnetic nanofluid forced convective heat transfer in existence of variable magnetic field using two phase model , 2015 .

[29]  Mohammad Mehdi Rashidi,et al.  Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects , 2014 .

[30]  R. Ellahi,et al.  Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid , 2015 .

[31]  Puneet Rana,et al.  Lattice Boltzmann simulation of nanofluid heat transfer enhancement and entropy generation , 2016 .

[32]  Arshad Riaz,et al.  EFFECTS OF MAGNETOHYDRODYNAMICS ON PERISTALTIC FLOW OF JEFFREY FLUID IN A RECTANGULAR DUCT THROUGH A POROUS MEDIUM , 2014 .

[33]  Mohammad Mehdi Rashidi,et al.  Forced convection heat transfer in a semi annulus under the influence of a variable magnetic field , 2016 .

[34]  Mohammad Mehdi Rashidi,et al.  Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation , 2014 .

[35]  Tasawar Hayat,et al.  Free convection of magnetic nanofluid considering MFD viscosity effect , 2016 .

[36]  Kh.S. Mekheimer,et al.  Peristaltic flow of blood under effect of a magnetic field in a non-uniform channels , 2004, Appl. Math. Comput..

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

[38]  Y. Abd Elmaboud,et al.  Peristaltic Flow through a Porous Medium in an Annulus: Application of an Endoscope , 2008 .

[39]  Mohammad Mehdi Rashidi,et al.  Magnetic field effect on unsteady nanofluid flow and heat transfer using Buongiorno model , 2016 .

[40]  Mohsen Sheikholeslami,et al.  Effect of uniform suction on nanofluid flow and heat transfer over a cylinder , 2015 .

[41]  T. Brown,et al.  Solid-particle motion in two-dimensional peristaltic flows , 1976, Journal of Fluid Mechanics.

[42]  N. Akbar,et al.  Peristaltic flow of a Phan-Thien-Tanner nanofluid in a diverging tube , 2012 .

[43]  Kh. S. Mekheimer,et al.  Effects of heat transfer and space porosity on peristaltic flow in a vertical asymmetric channel , 2009 .