Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave

In this article, heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave has been investigated. The governing equations of blood flow for Casson fluid model, temperature, and energy equation have been solved by taking the assumption of long wavelength and neglecting the inertial forces. The resulting coupled differential equations have been solved analytically and the exact solutions are presented. The impact of various pertinent parameters is plotted and discussed. It is found that the influence of magnetic field and fluid parameter shows similar behavior on velocity profile while its behavior is opposite for pressure rise and pressure gradient profile. Trapping phenomena have also taken into account by sketching the streamlines. The expression for pressure rise and friction forces are evaluated numerically.

[1]  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 .

[2]  M. Gnaneswara Reddy,et al.  Influence of Joule Heating on MHD Peristaltic Flow of a Nanofluid with Compliant Walls , 2015 .

[3]  N. Akbar,et al.  Mathematical model for the peristaltic flow of Jeffrey fluid with nanoparticles phenomenon through a rectangular duct , 2014, Applied Nanoscience.

[4]  V P Srivastava,et al.  Two-layered model of Casson fluid flow through stenotic blood vessels: applications to the cardiovascular system. , 1994, Journal of biomechanics.

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

[6]  M. G. Reddy Heat and mass transfer on magnetohydrodynamic peristaltic flow in a porous medium with partial slip , 2016 .

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

[8]  Rahmat Ellahi,et al.  Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct , 2014 .

[9]  S. Weinberg,et al.  Peristaltic pumping with long wavelengths at low Reynolds number , 1968, Journal of Fluid Mechanics.

[10]  Mohammad Mehdi Rashidi,et al.  COMPARATIVE NUMERICAL STUDY OF SINGLE-PHASE AND TWO-PHASE MODELS FOR BIO-NANOFLUID TRANSPORT PHENOMENA , 2014 .

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

[12]  Mohammad Mehdi Rashidi,et al.  HOMOTOPY ANALYSIS OF TRANSIENT MAGNETO-BIO-FLUID DYNAMICS OF MICROPOLAR SQUEEZE FILM IN A POROUS MEDIUM: A MODEL FOR MAGNETO-BIO-RHEOLOGICAL LUBRICATION , 2012 .

[13]  Mohammad Mehdi Rashidi,et al.  Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration , 2011 .

[14]  Kh. S. Mekheimer,et al.  Effect of the induced magnetic field on peristaltic flow of a couple stress fluid , 2008 .

[15]  L. M. Srivastava,et al.  Peristaltic transport of a power-law fluid: Application to the ductus efferentes of the reproductive tract , 1988 .

[16]  V. Seshadri,et al.  Peristaltic pumping in non-uniform tubes. , 1976, Journal of biomechanics.

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

[18]  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 .

[19]  Oluwole Daniel Makinde,et al.  Magnetohydrodynamic peristaltic transport of Jeffrey nanofluid in an asymmetric channel , 2016 .

[20]  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..

[21]  V. P. Srivastava Particle-fluid suspension model of blood flow through stenotic vessels with applications. , 1995, International journal of bio-medical computing.

[22]  Mohammad Mehdi Rashidi,et al.  Numerical investigation of magnetic field effect on mixed convection heat transfer of nanofluid in a channel with sinusoidal walls , 2016 .

[23]  Ahmed M. Salem,et al.  Peristatcally induced MHD slip flow in a porous medium due to a surface acoustic wavy wall , 2014 .

[24]  V. P. Srivastava,et al.  A two-fluid model of non-Newtonian blood flow induced by peristaltic waves , 1995 .