Heat and mass transfer of two-phase flow with Electric double layer effects induced due to peristaltic propulsion in the presence of transverse magnetic field

Abstract Biologically-inspired propulsion systems are currently receiving significant interest in the engineering applications. Motivated by these developments, in the present article analysed heat and mass transfer with the transverse magnetic field on peristaltic motion of two-phase flow (particle-fluid suspension) through a planar channel have been examined. The flow is observed under the influence of electric field and chemical reaction. The present flow problem is modeled using lubrication theory approximation and also with a combination of long wavelength and creeping flow regime assumptions. Moreover, the problem is further simplified using Debye linearization. Analytical solutions are obtained for the resulting coupled ordinary differential equations. The influence of various emerging parameters is discussed for velocity, temperature and concentration profile. Furthermore, the behavior of pressure rise is also discussed to analyse the pumping characteristics. Trapping mechanism is also presented with the help of streamlines. It is observed that velocity distribution tends to increase significantly due to the greater effect of electric field and electro-osmotic parameter, however, magnetic field and particle volume fraction provides a marked resistance to the flow. The influence of electric field and electro-osmotic parameter depicts converse behavior on temperature and concentration distribution. Furthermore, chemical reaction parameter causes a significant reduction in the concentration distribution. The main motivation of the present study is due to such fact that two-phase flow process is very important to analyse the peristaltic muscular expansion and contraction in propagating various biological fluids that act like a particle-fluid mixture. The present study has a wide range of applications in bio-medical engineering i.e. electromagnetic peristaltic micro pumps.

[1]  Tasawar Hayat,et al.  Peristaltic flow of a Williamson fluid in an inclined asymmetric channel with partial slip and heat transfer , 2012 .

[2]  Sohail Nadeem,et al.  Free Convective MHD Peristaltic Flow of a Jeffrey Nanofluid with Convective Surface Boundary Condition: A Biomedicine--Nano Model , 2014 .

[3]  Zafar Hayat Khan,et al.  Numerical simulation of peristaltic flow of a Carreau nanofluid in an asymmetric channel , 2014 .

[4]  M. M. Bhatti,et al.  Simultaneous effects of coagulation and variable magnetic field on peristaltically induced motion of Jeffrey nanofluid containing gyrotactic microorganism. , 2017, Microvascular research.

[5]  K. Vafai,et al.  Peristaltic Transport of a Jeffrey Fluid with Variable Viscosity through a Porous Medium in an Asymmetric Channel , 2012 .

[6]  N. Akbar,et al.  Heat Transfer Analysis on Transport of Copper Nanofluids Due to Metachronal Waves of Cilia , 2014 .

[7]  Muhammad Mubashir Bhatti,et al.  Slip effects and endoscopy analysis on blood flow of particle-fluid suspension induced by peristaltic wave , 2016 .

[8]  M. M. Bhatti,et al.  Analytic study of heat transfer with variable viscosity on solid particle motion in dusty Jeffery fluid , 2016 .

[9]  Syed Tauseef Mohyud-Din,et al.  Thermo-diffusion and diffusion-thermo effects on flow of second grade fluid between two inclined plane walls , 2016 .

[10]  C. Culbertson,et al.  Electroosmotically induced hydraulic pumping with integrated electrodes on microfluidic devices. , 2001, Analytical chemistry.

[11]  Ahmed Zeeshan,et al.  Heat transfer analysis on peristaltically induced motion of particle-fluid suspension with variable viscosity: Clot blood model , 2016, Comput. Methods Programs Biomed..

[12]  J. G. Smits Piezoelectric micropump with three valves working peristaltically , 1990 .

[13]  Ahmed Zeeshan,et al.  Endoscope analysis on peristaltic blood flow of Sisko fluid with Titanium magneto-nanoparticles , 2016, Comput. Biol. Medicine.

[14]  M. M. Bhatti,et al.  HEAT AND MASS TRANSFER ANALYSIS ON PERISTALTIC FLOW OF PARTICLE–FLUID SUSPENSION WITH SLIP EFFECTS , 2017 .

[15]  S. Srinivas,et al.  The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls , 2009, Appl. Math. Comput..

[16]  Masood Khan,et al.  Non-linear peristaltic flow of a non-Newtonian fluid under effect of a magnetic field in a planar channel , 2007 .

[17]  Mohammad Mehdi Rashidi,et al.  Effects of thermal radiation and electromagnetohydrodynamics on viscous nanofluid through a Riga plate , 2016 .

[18]  Kh. S. Mekheimer,et al.  SUSPENSION MODEL FOR BLOOD FLOW THROUGH ARTERIAL CATHETERIZATION , 2010 .

[19]  H. Enwald,et al.  Eulerian two-phase flow theory applied to fluidization , 1996 .

[20]  N. Akbar,et al.  Mathematical study for peristaltic flow of Williamson fluid in a curved channel , 2015 .

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

[22]  Zulfiqar Ali Zaidi,et al.  MHD FLOW OF AN INCOMPRESSIBLE FLUID THROUGH POROUS MEDIUM BETWEEN DILATING AND SQUEEZING PERMEABLE WALLS , 2014 .

[23]  M. M. Bhatti,et al.  Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct , 2017 .

[24]  Syed Tauseef Mohyud-Din,et al.  Convective heat transfer and MHD effects on two dimensional wall jet flow of a nanofluid with passive control model , 2016 .

[25]  P. Shukla,et al.  Generalized magnetohydrodynamic equations for partially ionized dusty magnetoplasmas: Derivation and applications , 1996 .

[26]  Y. Jian,et al.  Electromagnetohydrodynamic (EMHD) micropumps under a spatially non-uniform magnetic field , 2015 .

[27]  Kuppalapalle Vajravelu,et al.  Peristaltic flow and heat transfer in a vertical porous annulus, with long wave approximation , 2007 .

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

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

[30]  H. Shawky Pulsatile flow with heat transfer of dusty magnetohydrodynamic Ree-Eyring fluid through a channel , 2009 .

[31]  Urs O. Häfeli,et al.  Scientific and clinical applications of magnetic carriers , 1997 .

[32]  Michael D. Morris,et al.  Emerging Raman applications and techniques in biomedical and pharmaceutical fields , 2010 .

[33]  Jen-Shih Chang,et al.  Electromagnetic hydrodynamics , 1994 .

[34]  M. Haroun,et al.  Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel , 2007 .

[35]  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 .

[36]  Jun Yao,et al.  Flow of Particulate-Fluid Suspension in a Channel with Porous Walls , 2013, Transport in Porous Media.

[37]  Mohammad Mehdi Rashidi,et al.  A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects , 2016, Neural Computing and Applications.

[38]  M. M. Bhatti,et al.  Simultaneous effects of slip and MHD on peristaltic blood flow of Jeffrey fluid model through a porous medium , 2016 .