Convective Heat/Mass Transfer Analysis on Johnson-Segalman Fluid in a Symmetric Curved Channel with Peristalsis: Engineering Applications

The peristaltic flow of Johnson–Segalman fluid in a symmetric curved channel with convective conditions and flexible walls is addressed in this article. The channel walls are considered to be compliant. The main objective of this article is to discuss the effects of curvilinear of the channel and heat/mass convection through boundary conditions. The constitutive equations for Johnson–Segalman fluid are modeled and analyzed under lubrication approach. The stream function, temperature, and concentration profiles are derived. The analytical solutions are obtained by using regular perturbation method for significant number, named as Weissenberg number. The influence of the parameter values on the physical level of interest is outlined and discussed. Comparison is made between Jhonson-Segalman and Newtonian fluid. It is concluded that the axial velocity of Jhonson-Segalman fluid is substantially higher than that of Newtonian fluid.

[1]  T. Hayat,et al.  Simultaneous effects of convective conditions and nanoparticles on peristaltic motion , 2014 .

[2]  Tasawar Hayat,et al.  On peristaltic motion of pseudoplastic fluid in a curved channel with heat/mass transfer and wall properties , 2015, Appl. Math. Comput..

[3]  Tasawar Hayat,et al.  Peristaltic motion of a Johnson-Segalman fluid in a planar channel , 2003 .

[4]  T. Hayat,et al.  Peristaltic flow of a Johnson-Segalman fluid through a deformable tube , 2007 .

[6]  T. Hayat,et al.  SIGNIFICANCE OF HEAT AND MASS PROCESS IN PERISTALSIS OF A RHEOLOGICAL MATERIAL , 2019, Heat Transfer Research.

[7]  T. Hayat,et al.  Long Wavelength Flow Analysis in a Curved Channel , 2010 .

[8]  A. Alsaedi,et al.  Peristaltic flow of Johnson-Segalman fluid in asymmetric channel with convective boundary conditions , 2014 .

[9]  Ahmed Alsaedi,et al.  Peristaltic flow of Powell-Eyring fluid in curved channel with heat transfer: A useful application in biomedicine , 2016, Comput. Methods Programs Biomed..

[10]  D. Tripathi,et al.  Peristaltic propulsion of generalized Burgers' fluids through a non-uniform porous medium: a study of chyme dynamics through the diseased intestine. , 2014, Mathematical biosciences.

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

[12]  Obaid Ullah Mehmood,et al.  Thermo-mechanical analysis of non Newtonian peristaltic mechanism: Modified heat flux model , 2020 .

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

[14]  T. Hayat,et al.  Soret and Dufour effects in peristaltic transport of physiological fluids with chemical reaction: A mathematical analysis , 2014 .

[15]  F. Alsaadi,et al.  Magnetic Field and Thermal Radiation Effects in Peristaltic Flow With Heat and Mass Convection , 2018, Journal of Thermal Science and Engineering Applications.

[16]  F. M. Abbasi,et al.  Model and comparative study for peristaltic transport of water based nanofluids , 2015 .

[17]  I. Tlili,et al.  Numerical simulations for mixed convective hydromagnetic peristaltic flow in a curved channel with joule heating features , 2020 .

[18]  Y. Fung,et al.  Peristaltic Waves in Circular Cylindrical Tubes , 1969 .

[19]  M. M. Bhatti,et al.  Electro-osmotic flow of hydromagnetic dusty viscoelastic fluids in a microchannel propagated by peristalsis , 2020 .

[20]  Rahmat Ellahi,et al.  Hydrodynamics Interactions of Metachronal Waves on Particulate-Liquid Motion through a Ciliated Annulus: Application of Bio-Engineering in Blood Clotting and Endoscopy , 2020, Symmetry.

[21]  Tasawar Hayat,et al.  Peristaltic transport of a Johnson-Segalman fluid in an asymmetric channel , 2008, Math. Comput. Model..

[22]  D. Tripathi,et al.  Pumping flow model for couple stress fluids with a propagative membrane contraction , 2020 .

[23]  N. S. Gad.  Effects of hall currents on peristaltic transport with compliant walls , 2014, Appl. Math. Comput..

[24]  Tasawar Hayat,et al.  Numerical simulations of Oldroyd 8-constant fluid flow and heat transfer in a curved channel , 2016 .

[25]  H. Tariq,et al.  Theoretical Analysis of Peristaltic Viscous Fluid with Inhomogeneous Dust Particles , 2020, Arabian Journal for Science and Engineering.

[26]  T. Hayat,et al.  Resonant oscillations of a plate in an electrically conducting rotating Johnson-Segalman fluid , 2005 .

[27]  K. Ramesh,et al.  Effects of slip and convective conditions on the peristaltic flow of couple stress fluid in an asymmetric channel through porous medium , 2016, Comput. Methods Programs Biomed..

[28]  Mohammad Mehdi Rashidi,et al.  Analysis of heat transfer due to stretching cylinder with partial slip and prescribed heat flux: A Chebyshev Spectral Newton Iterative Scheme , 2015 .

[29]  Tasawar Hayat,et al.  Numerical analysis for MHD peristaltic transport of Carreau–Yasuda fluid in a curved channel with Hall effects , 2015 .

[30]  M. Javed.  A mathematical framework for peristaltic mechanism of non-Newtonian fluid in an elastic heated channel with Hall effect , 2020 .

[31]  Tasawar Hayat,et al.  Peristaltic transport of viscous fluid in a curved channel with compliant walls , 2011 .

[32]  Moustafa El-Shahed,et al.  Peristaltic transport of Johnson-Segalman fluid under effect of a magnetic field , 2005 .

[33]  Tasawar Hayat,et al.  Heat and mass transfer effects on the peristaltic flow of Johnson–Segalman fluid in a curved channel with compliant walls , 2012 .

[34]  T. Hayat,et al.  Mixed convective peristaltic transport of Carreau-Yasuda nanofluid in a tapered asymmetric channel , 2016 .

[35]  W. Müller,et al.  FUNNEL FLOW OF A NAVIER-STOKES-FLUID WITH POTENTIAL APPLICATIONS TO MICROPOLAR MEDIA , 2019, Facta Universitatis, Series: Mechanical Engineering.

[36]  Makoto Okabe,et al.  Two-Dimensional Peristaltic Flow in Curved Channels , 2000 .

[37]  Mehdi Lachiheb,et al.  Effect of coupled radial and axial variability of viscosity on the peristaltic transport of Newtonian fluid , 2014, Appl. Math. Comput..

[38]  F. M. Abbasi,et al.  Peristaltic transport of copper–water nanofluid saturating porous medium , 2015 .

[39]  G. C. Shit,et al.  Hydromagnetic effect on inclined peristaltic flow of a couple stress fluid , 2014 .