The manuscript examines the motion of an Eyring–Prandtl nanofluid inside a horizontal asymmetric peristaltic nonuniform channel. A normal variable magnetic field affects the channel. The slip boundary-conditions are taken into consideration. The boundary-value problem involves the energy as well as the concentration equations. The viscous dissipation of the thermal equation is considered. The flow is immersed in a porous medium. The governing equations of motion are solved by means of the Homotopy perturbation method (HPM). The distributions of the various functions are analytically obtained. The influences of the different parameters are authenticated throughout a set of diagrams. It is found that thermal-diffusion (Soret), diffusion-thermo (Dufour), Lorentz resisting force and induced magnetic have active effects on the distributions of the nano-particle; such as, concentration volume, temperature, and flow characteristics.
LewH.S.FungY.C. and LowensteinC.B., Peristaltic carrying and mixing of chyme in the small intestine, Journal of Biomechanics4 (1971), 297–315.
2.
LathamT.W., Fluid Motion in a Peristaltic Pump (Thesis), Massachusetts Institute of Technology, Cambridge, 1966.
3.
ShapiroA.H.JaffrinM. and WeinbergS.L., Peristaltic pumps with long wavelength at low Reynolds number, Journal of Fluid Mechanics35 (1969), 799–825.
4.
El-dabeN.T.MoatimidG.M. and SayedA., Effects of magnetic induction with heat generation on the peristaltic motion of a non-Newtonian Walter’s B fluid with heat transfer through porous medium in a vertical symmetric channel, Journal of Advanced Research in Dynamical & Control Systems10 (2018), 1132–1151.
5.
HayatT.RiazA.TanveerA. and AlsaediA., Peristaltic transport of tangent hyperbolic fluid with variable viscosity, Thermal Science and Engineering Progress6 (2018), 217–225.
6.
AkbarN., MHD Eyring–Prandtl fluid flow with convective boundary conditions in small intestines, International Journal of Biomathematics6(5) (2013), 1350034-1:13.
7.
AbbasiF.M.HayatT. and AlsaediA., Numerical analysis for peristaltic motion of MHD Eyring–Prandtl fluid in an inclined symmetric channel with inclined magnetic field, Journal of Applied Fluid Mechanics9(1) (2016), 389–396.
8.
IftikharN. and RehmanA., Peristaltic flow of an Eyring Prandtl fluid in a diverging tube with heat and mass transfer, International Journal of Heat and Mass Transfer111 (2017), 667–676.
9.
EldabeN.T.MoatimidG.M.ElShekhipyA.A. and AballahN.F., Mixed convective peristaltic flow of Eyring–Prandtl fluid with chemical reaction and variable electrical conductivity in a tapered asymmetric channel, Heat Transfer-Asian Research48 (2019), 1946–1962.
10.
DuS. and PolletB.G., Nanotechnology for Sustainable Manufacturing, CRC, 2014, pp. 113–142.
11.
S.U.S.Choi and EastmanJ.A., Enhancing thermal conductivity of fluids with nanoparticles, The American Society of Mechanical Engineers, United states66 (1995), 99–105.
12.
LeeS.ChoiS.U.S. and EastmanJ.A., Measuring thermal conductivity of fluids containing oxide Nanoparticles, Journal of Heat Transfer121(2) (1999), 280–289.
13.
EldabeN.T.Abou-zeidM.Y. and YounisY.M., Magnetohydrodynamic peristaltic flow of Jeffry nanofluid with heat transfer through a porous medium in a vertical tube, Applied Mathematics & Information Sciences11(4) (2017), 1097–1103.
14.
HayatT.AsgharS.TanveerA. and AlsaediA., Homogeneous-heterogeneous reactions in peristaltic flow of Prandtl fluid with thermal radiation, Journal of Molecular Liquids240 (2017), 504–513.
15.
HinaS., MHD peristaltic transport of Eyring–Powell fluid with heat/mass transfer, wall properties and slip conditions, Journal of Magnetism and Magnetic Materials404 (2016), 148–158.
16.
MehmoodO.U.MustaphaN.ShafieS. and HayatT., Partial slip effect on heat and mass transfer of MHD peristaltic transport in a porous medium, Sains Malaysiana43(7) (2014), 1109–1118.
17.
SudV.K.SekhonG.S. and MishraR.K., Pumping action on blood by a magnetic field, Bulletin of Mathematical Biology39(3) (1977), 385–390.
18.
JordanA.ScholzR.WustP.FählingH. and FelixR., Magnetic fluid hyperthermia (MFH): Cancer treatment with AC magnetic field induced excitation of biocompatible superparamagnetic nanoparticles, Journal of Magnetism and Magnetic Materials201 (1999), 413–419.
19.
MekheimerKh.S., Effect of the induced magnetic field on peristaltic flow of a couple stress fluid, Physics Letters A372 (2008), 4271–4278.
20.
AkramS. and NadeemS., Influence of induced magnetic field and heat transfer on the peristaltic motion of a Jeffrey fluid in an asymmetric channel: Closed form solutions, Journal of Magnetism and Magnetic Materials328 (2013), 11–20.
21.
HayatT.NoreenS. and AlsaediA., The slip and induced magnetic field effects on the peristaltic transport with heat and mass transfer, Journal of Mechanics in Medicine and Biology12(4) (2012), 1250068-1:15.
22.
SadafH.AkbarM.U. and NadeemS., Induced magnetic field analysis for the peristaltic transport of non-Newtonian nanofluid in an annulus, Mathematics and Computers in Simulation148 (2018), 16–36.
23.
MekheimerKh.S.SalemA.M. and ZaherA.Z., Peristatcally induced MHD slip flow in a porous medium due to a surface acoustic wavy wall, Journal of the Egyptian Mathematical Society22 (2014), 143–151.
24.
MustafaM.HinaS.HayatT. and AhmadB., Influence of induced magnetic field on the peristaltic flow of nanofluid, Meccanica49 (2014), 521–534.
25.
HeJ.H., Homotopy perturbation technique, Computer Methods in Applied Mechanics and Engineering178 (1999), 257–262.
26.
HeJ.H., A coupling method of a homotopy technique and a perturbation technique for non-linear problems, International Journal of Non-Linear Mechanics35 (2000), 37–43.
