Simultaneous effects of nanoparticles and slip on Jeffrey fluid through tapered artery with mild stenosis

Abstract This study examines the effects of nanoparticles for the blood flow of Jeffrey fluid in tapered artery with stenosis. The slip effects along with permeable nature of the arterial wall in the presence of convection are also taken into account. Mathematical modeling is based upon continuity, momentum and energy equations. This analysis is carried out under the constraints of mild stenosis. Closed form solutions for velocity and concentration are obtained. Numerical integration is used to analyze the novel features of flow impedance, pressure rise and stream function. Effects of pertinent parameters such as Brownian diffusion coefficient, thermospheric diffusion parameter, Grashof number and material constant of Jeffrey fluid on velocity, temperature and concentration are discussed through graphs.

[1]  C. Fetecau,et al.  On some axial Couette flows of non-Newtonian fluids , 2005 .

[2]  Davood Domiri Ganji,et al.  Heat flux boundary condition for nanofluid filled enclosure in presence of magnetic field , 2014 .

[3]  N. E. Kissi,et al.  Ecoulement de fluides polymères enchevêtrés dans un capillaire. Modélisation du glissement macroscopique à la paroi , 1989 .

[4]  Ji-Huan He,et al.  A NOTE ON THE HOMOTOPY PERTURBATION METHOD , 2010 .

[5]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

[6]  D. Tripathi.  A Mathematical Study on Three Layered Oscillatory Blood Flow Through Stenosed Arteries , 2012 .

[7]  A. Salama,et al.  Combined effect of thermal dispersion and radiation on free convection in a fluid saturated, optically thick porous medium , 2008 .

[8]  N. Akbar.  HEAT AND MASS TRANSFER EFFECTS ON CARREAU FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS , 2014 .

[9]  Ji-Huan He.  HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .

[10]  S. Hatzikiriakos,et al.  Wall slip of molten high density polyethylenes. II. Capillary rheometer studies , 1992 .

[11]  R. Mutharasan,et al.  Experimental observations of wall slip: tube and packed bed flow , 1987 .

[12]  Arif Rafiq,et al.  Solution of nonlinear pull-in behavior in electrostatic micro-actuators by using He's homotopy perturbation method , 2010, Comput. Math. Appl..

[13]  K. Khanafer,et al.  BUOYANCY-DRIVEN HEAT TRANSFER ENHANCEMENT IN A TWO-DIMENSIONAL ENCLOSURE UTILIZING NANOFLUIDS , 2003 .

[14]  A. I. Leonov,et al.  On the dependence of friction force on sliding velocity in the theory of adhesive friction of elastomers , 1990 .

[15]  N. Nakajima,et al.  The influence of materials of construction on biconical rotor and capillary measurements of shear viscosity of rubber and its compounds and considerations of slippage , 1991 .

[16]  Davood Domiri Ganji,et al.  Magnetohydrodynamic free convection of Al2O3–water nanofluid considering Thermophoresis and Brownian motion effects , 2014 .

[17]  Kh. S. Mekheimer,et al.  Mathematical modelling of unsteady flow of a Sisko fluid through an anisotropically tapered elastic arteries with time-variant overlapping stenosis , 2012 .

[18]  A. Salama,et al.  Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media , 2013 .

[19]  M. Valdez,et al.  Hydrodynamic interactions of dilute polymer solutions under shear flow in a narrow channel , 1994 .

[20]  Noreen Sher Akbar,et al.  MHD EYRING–PRANDTL FLUID FLOW WITH CONVECTIVE BOUNDARY CONDITIONS IN SMALL INTESTINES , 2013 .

[21]  G. Vinogradov,et al.  Wall slippage and elastic turbulence of polymers in the rubbery state , 1968 .

[22]  Ibrahim A. Abbas,et al.  A numerical study of free convection heat and mass transfer in a Rivlin–Ericksen viscoelastic flow past an impulsively started vertical plate with variable temperature and concentration , 2013 .

[23]  C. L. Roux,et al.  Existence and Uniqueness of the Flow of Second‐Grade Fluids with Slip Boundary Conditions , 1999 .

[24]  Sohail Nadeem,et al.  The combined effects of slip and convective boundary conditions on stagnation-point flow of CNT suspended nanofluid over a stretching sheet , 2014 .

[25]  Amgad Salama,et al.  Effect of thermal dispersion on free convection in a fluid saturated porous medium , 2009 .

[26]  A. Medhavi,et al.  Blood Flow through a Composite Stenosis in an Artery with Permeable Wall , 2011 .

[27]  Daniel N. Riahi,et al.  On arterial blood flow in the presence of an overlapping stenosis , 2011, Math. Comput. Model..

[28]  E. Grulke,et al.  Anomalous thermal conductivity enhancement in nanotube suspensions , 2001 .

[29]  M. Dehghan,et al.  Application of He’s homotopy perturbation method for non-linear system of second-order boundary value problems , 2009 .

[30]  J. Piau,et al.  Measurement and modelling of friction in polymer melts during macroscopic slip at the wall , 1994 .

[31]  Savvas G. Hatzikiriakos.  A multimode interfacial constitutive equation for molten polymers , 1995 .

[32]  Richard L. Schiek,et al.  A nonlocal theory for stress in bound, Brownian suspensions of slender, rigid fibres , 1995, Journal of Fluid Mechanics.

[33]  Kh. S. Mekheimer,et al.  The micropolar fluid model for blood flow through a tapered artery with a stenosis , 2008 .

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

[35]  W. Kwang-Hua Chu,et al.  Peristaltic transport in a slip flow , 2000 .

[36]  Migler,et al.  Slip transition of a polymer melt under shear stress. , 1993, Physical review letters.

[37]  Davood Domiri Ganji,et al.  Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid , 2014 .

[38]  V. P. Srivastava,et al.  Suspension model for blood flow through stenotic arteries with a cell-free plasma layer. , 1997, Mathematical biosciences.