Mixed convective heat and mass transfer analysis for peristaltic transport in an asymmetric channel with Soret and Dufour effects

Abstract

The present investigation addresses the simultaneous effects of heat and mass transfer in the mixed convection peristaltic flow of viscous fluid in an asymmetric channel. The channel walls exhibit the convective boundary conditions. In addition, the effects due to Soret and Dufour are taken into consideration. Resulting problems are solved for the series solutions. Numerical values of heat and mass transfer rates are displayed and studied. Results indicate that the concentration and temperature of the fluid increase whereas the mass transfer rate at the wall decreases with increase of the mass transfer Biot number. Furthermore, it is observed that the temperature decreases with the increase of the heat transfer Biot number.

Keywords

peristaltic transport / heat and mass transfer / Soret and Dufour effects / convective boundary conditions

References

[1] LathamT WFluid motion in a peristaltic pump [D], 1966, Cambridge, Massachusetts Institute of Technology, MA, USA

[2] ShapiroA H, JaffrinM Y, WienbergS L. Peristaltic pumping with long wavelengths at low Reynolds number [J]. Journal of Fluid Mechanics, 1969, 37: 799-825

[3] Abd ElmaboudY, MekheimerK S. Non-linear peristaltic transport of a second-order fluid through a porous medium [J]. Applied Mathematical Modelling, 2011, 35: 2695-2710

[4] TripathiD, PandeyS K, DasS. Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel [J]. Applied Mathematics and Computation, 2010, 215: 3645-3654

[5] TripathiD. A mathematical model for the movement of food bolus of varying viscosities through the oesophagus [J]. Acta Astronautica, 2011, 69: 429-439

[6] MekheimerK S, Abd ElmaboudY, AbdellateefA I. Particulate suspension flow induced by sinusoidal peristaltic waves through eccentric cylinders: Thread annular [J]. International Journal of Biomathematics, 2013, 6: 1350026

[7] MekheimerK S, KomyS R, AbdelsalamdS I. Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel [J]. Chinese Physics B, 2013, 22: 124702

[8] HayatT, AbbasiF M. Variable viscosity effects on the peristaltic motion of a third order fluid [J]. International Journal for Numerical Methods in Fluids, 2011, 67: 1500-1515

[9] WangY, AliN, HayatT, OberlackM. Peristaltic motion of a magnetohydrodynamic micropolar fluid in a tube [J]. Applied Mathematical Modelling, 2011, 35: 3737-3750

[10] HayatT, AbbasiF M, AhmadB, AlsaediA. Peristaltic transport of Carreau-Yasuda fluid in a curved channel with slip effects [J]. PLoS ONE, 2014, 9(4): e95070

[11] VajraveluK, SreenadhS, LakshminarayanaP. The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum [J]. Communications in Nonlinear Science and Numerical Simulation, 2011, 16: 3107-3125

[12] HayatT, AbbasiF M, HendiA A. Heat transfer analysis for peristaltic mechanism in variable viscosity fluid [J]. Chinese Physics Letters, 2011, 28: 044701

[13] HayatT, AbbasiF M, ObaidatS. Peristaltic motion with Soret and Dufour effects [J]. Magnetohydrodynamics, 2011, 47: 295-302

[14] TripathiD. D. Tripathi, A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer [J]. International Journal of Thermal Sciences, 2012, 51: 91-101

[15] AbbasiF M, HayatT, AlsaediA, AhmadB. Soret and Dufour effects on peristaltic transport of MHD fluid with variable viscosity [J]. Applied Mathematics & Information Sciences, 2014, 8: 211-219

[16] HayatT, AbbasiF M, Al-YamiM, MonaquelS. Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects [J]. Journal of Molecular Liquids, 2014, 194: 93-99

[17] HayatT, AbbasiF M, AlsaediA, AlsaadiF. Hall and Ohmic heating effects on the peristaltic transport of Carreau-Yasuda fluid in an asymmetric channel [J]. Z Naturforsch, 2014, 69a: 43-51

[18] HayatT, AbbasiF M, AlsaediA. Soret and Dufour effects on peristaltic flow in an asymmetric channel [J]. Arabian Journal for Science and Engineering, 2014, 39: 4341-4349

[19] AbbasiF M, HayatT, AhmadB, ChenG Q. Peristaltic motion of non-Newtonian nanofluid in an asymmetric channel [J]. Z Naturforsch, 2014, 69a: 451-461

[20] AkbarN S. MHD Eyring-Prnadtl fluid flow with convective boundary conditions in small intestine [J]. Int J Biomath, 2013, 6: 1350034

[21] NoreenS, QasimM. Peristaltic flow with inclined magnetic field and convective boundary conditions [J]. Applied Bionics and Biomechanics, 2014, 11: 61-67

[22] AbbasiF M, HayatT, AhmadB. Peristaltic flow in an asymmetric channel with convective boundary conditions and Joule heating [J]. Journal of Central South University, 2014, 21: 1411-1416