Skip to main content Accessibility help

Analysis of Mixed Convective Heat and Mass Transfer on Peristaltic Flow of Fene-P Fluid with Chemical Reaction

  • Z. Asghar (a1) and N. Ali (a1)


This study presents the influence of heat and mass transfer on peristaltic transport of Finitely Extensible Nonlinear Elastic Peterlin (FENE-P) fluid in the presence of chemical reaction. It is assumed that all the fluid properties, except the density are constant. The Boussinesq approximation which relates density change to temperature and concentration changes is used in formulating buoyancy force terms in the momentum equation. Moreover, we neglect viscous dissipation and include diffusion-thermal (Dufour) and thermal-diffusion (Soret) effects in the present analysis. By the consideration of such important aspects the flow equations become highly nonlinear and coupled. In order to make the problem tractable we have adopted widely used assumptions of long wave length and low Reynolds number. An exact solution of the simplified coupled linear equations for the temperature and concentration has been obtained whereas numerical solution is obtained for dimensionless stream function and pressure gradient. The effects of different parameters on velocity field, temperature and concentration fields and trapping phenomenon are highlighted through various graphs. Numerical integration has been performed to analyze pressure rise per wavelength.


Corresponding author

* Corresponding author (


Hide All
1.Mekheimer, Kh. S., and Elmaboud, Y. A., “The Influence of Heat Transfer and Magnetic Field on Peristaltic Transport of a Newtonian Fluid in a Vertical Annulus: An Application of an Endoscope,” Physics Letters A, 372, pp. 16571665 (2008).
2.Nadeem, S. and Akbar, N. S., “Influence of Temperature Dependent Viscosity on Peristaltic Transport of a Newtonian Fluid: Application of an Endoscope,” Applied Mathematics and Computation, 216, pp. 36063619 (2010).
3.Srinivas, S., Gayathri, R. and Kothandapani, M., “The Influence of Slip Conditions, Wall Properties and Heat Transfer on MHD Peristaltic Transport,” Computer Physics Communications, 180, pp. 21152122 (2009).
4.Nadeem, S. and Akbar, N. S., “Influence of Heat and Chemical Reactions on Walter’s B Fluid Model for Blood Flow Through a Tapered Artery,” Journal of Taiwan Institute of Chemical Engineers, 42, pp. 6775 (2011).
5.Akbar, N. S. and Nadeem, S., “Thermal and Velocity Slip Effects on the Peristaltic Flow of a Six Constant Jeffrey’s Fluid Model,” International Journal of Heat and Mass Transfer, 55, pp. 39643970 (2012).
6.Mehmood, O. U., Mustapha, N. and Shafie, S., “Heat Transfer on Peristaltic Flow of Fourth Grade Fluid in Inclined Asymmetric Channel with Partial Slip,” Applied Mathematics and Mechanics, English Edition, 33, pp. 13131328 (2012).
7.Mustafa, M., Hina, S., Hayat, T. and Alsaedi, A., “Influence of Wall Properties on the Peristaltic Flow of a Nanofluid: Analytic and Numerical Solutions,” International Journal of Heat and Mass Transfer, 55, pp. 48714877 (2012).
8.Latham, T. W., “Fluid motion in a Peristaltic Pump,” M. S. Thesis, MIT, Cambridge, U.S. (1966).
9.Shapiro, A. H., Jaffrin, M. Y. and Weinberg, S. L., “Peristaltic Pumping with Long Wavelength at Low Reynolds Number,” Journal of Fluid Mechanics, 37, pp. 799825 (1969).
10.Jaffrin, M. Y. and Shapiro, A. H., “Peristaltic Pumping,” Annual Review of Fluid Mechanics, 3, pp. 1336 (1971).
11.Jaffrin, M. Y., “Inertia and Streamline Curvature Effects in Peristaltic Pumping,” International Journal of Engineering Science, 11, pp. 681699 (1973).
12.Srivastava, V. P. and Srivastava, L. M., “Influence of Wall Elasticity and Poiseuille Flow on Peristaltic Induced Flow of a Particle-Fluid Mixture,” International Journal of Engineering Science, 35, pp. 13591386 (1997).
13.Eytan, O., Jaffa, A. J. and Elad, D., “Peristaltic Flow in a Tapered Channel: Application to Embryo Transport Within the Uterine Cavity,” Medical Engineering & Physics, 23, pp. 473482 (2001).
14.El-Shehawey, E. F. and Husseny, S. Z. A., “Peristaltic Transport of a Magneto-Fluid with Porous Boundaries,” Applied Mathematics and Computation, 129, pp. 421440 (2002).
15.Afifi, N. A. S. and Gad, N. S., “Interaction of Peristaltic Flow with Pulsatile Fluid Through a Porous Medium,” Applied Mathematics and Computation, 142, pp. 167176 (2003).
16.El-Shehawey, E. F., El-Saman, A. E. R., El-Shahed, M. and Dagher, M., “Peristaltic Transport of a Compressible Viscous Liquid Through a Tapered Pore,” Applied Mathematics and Computation, 169, pp. 529543 (2005).
17.Eldabe, N. T. M., El-Sayed, M. F., Ghaly, A.Y. and Sayed, H. M., “Peristaltically Induced Transport of a MHD Biviscosity Fluid in a Non-Uniform Tube,” Physica A, 383, pp. 253266 (2007).
18.Yildirim, A. S. and Sezer, A., “Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel,” Mathematical and Computer Modelling, 52, pp. 618625 (2010).
19.Mishra, M. and Rao, A. R., “Peristaltic Transport of a Newtonian Fluid in an Asymmetric Channel,” Zeitschrift Fur angewandte Mathematik und Physik, 54, pp. 532550 (2003).
20.Misra, J. C. and Pandey, S. K., “Peristaltic Flow of a Multilayered Power-Law Fluid Through a Cylindrical Tube,” International Journal of Engineering Science, 39, pp. 387402 (2001).
21.Mernone, A. V. and Mazumdar, J. N., “A Mathematical Study of Peristaltic Transport of a Casson Fluid,” Mathematical and Computer Modelling, 35, pp. 895912 (2002).
22.Vajravelu, K., Sreenadh, S. and Babu, V. R., “Peristaltic pumping of a Herschel-Bulkley fluid in a channel,” Applied Mathematics and Computation, 169, pp. 726735 (2005).
23.Hayat, T., Qureshi, M. U. and Ali, N., “The Influence of Slip on the Peristaltic Motion of a Third Order Fluid in an Asymmetric Channel,” Physics Letters A, 372, pp. 26532664 (2008).
24.Zheng, L., Liu, Y. and Zhang, X., “Slip Effects on MHD Flow of a Generalized Oldroyd-B Fluid with Fractional Derivative,” Nonlinear Analysis: Real World Applications, 13, pp. 513523 (2012).
25.Hayat, T., Wang, Y., Hutter, K., Asghar, S. and Siddiqui, A. M., “Peristaltic Transport of an Oldroyd-B Fluid in a Planar Channel,” Mathmatical Problems in Engineering, 2004, pp. 347376 (2004).
26.Mekheimer, Kh. S., Komy, S. R. and Abdelsalam, S. I., “Simultaneous Effects of Magnetic Field and Space Porosity on Compressible Maxwell Fluid Transport Induced by a Surface Acoustic Wave in a Microchannel,” Chinese Physics B, 22, p. 124702 (2013).
27.Mekheimer, Kh. S. and El Kot, M. A., “Mathematical Modelling of Unsteady Flow of a Sisko Fluid Through an Anisotropically Tapered Elastic Arteries with Time-Variant Overlapping Stenosis,” Applied Mathematical Modelling, 36, pp. 53935407 (2012).
28.Oliveira, P. J., “An Exact Solution for the Tube and Slit Flow of a FENE-P Fluid,” Acta Mechanica, 158, pp. 157167 (2002).
29.Lew, H. S., Fung, Y. C. and Lowenstein, C. B., “Peristaltic Carrying and Mixing of Chyme in Small Intestine,” Journal of Biomechanics, 4, pp. 297315 (1971).
30.Riahi, D. N. and Roy, R., “Mathematical Modeling of Peristaltic Flow of Chyme in Small Intestine,” Applications and Applied Mathematics: An International Journal (AAM), 6, pp. 428444 (2011).



Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed