Simulation of Heat and Chemical Reactions on Peristaltic Flow of a Williamson Fluid in an Inclined Asymmetric Channel

Document Type : Research Article

Authors

1 Department of Mathematics, Quaid-i-Azad University 45320, Islamabad 44000, PAKISTAN

2 Department of Humanities and Basic Sciences, Military College of Signals, National University of Sciences and Technology, Rawalpindi 46000, PAKISTAN

3 DBS&H, CEME, Nathonal University of Sciences and Technology, Islamabad, PAKISTAN

Abstract

This work concerns the peristaltic flow of a Williamson fluid model in an inclined asymmetric channel under combined effects of heat and mass transfer. The governing nonlinear partial differential equations are simplified under the lubrication approach and then solved analytically and numerically. The analytical results are computed with the help of regular perturbation and the numerical results are found by using shooting method.

Keywords

Main Subjects

References

[1] Abd El Hakeem Abd El Naby, A.E.M. El Misery, M.F., Abd El Kareem, Separation in the Flow Through Peristaltic Motion of a Carreau Fluid in Uniform Tube, Physica A, 343, p. 1 (2004).
[2] Mekheimer Kh. S., Peristaltic Flow of Blood under Effect of a Magnetic Field in a Non-Uniform Channels, Appl. Math. Comp., 153, p. 763 (2008).
[3] Kothandapani M., Srinivas S., Peristaltic Transport of a Jeffrey Fluid under the Effect of Magnetic Field in an Asymmetric Channel, Int. J. Non-LinearMech., 43, p. 915 (2008).
[4] Nadeem S., Akram Safia, Peristaltic Flow of a Williamson Fluid in an Asymmetric Channel, Commun. Nonlinear, Sci. Numer. Simulat. 15, p. 1705 (2010).
[5] Nadeem S., Akram Safia, Peristaltic Transport of a Hyperbolic Tangent Fluid Model in an Asymmetric Channel, Z. Naturforsch., 64a, p. 559 (2009).
[6] Hayat T., Ellahi R., Asghar S., Unsteady Magnetohydrodynamic Non-Newtonian Flow Due to Non-Coaxial Rotations of a Disk and a Fluid at Infinity, Chem.l Eng. Commun., 194, p. 37 (2007).
[7] Rao A.R., Mishra M., Peristaltic Transport of a Ppower-Law Fluid in a Porous Tube, J. Non-Newtonian Fluid Mech., 121, p. 163 (2004).
[8] Yıldırım A., Sezer S.A., Effects of Partial Slip on the Peristaltic Flow of a MHD Newtonian Fluid in an Asymmetric Channel, Math. and Comput. Model. 52, p. 618 (2010).
[9] Srinivas S., Kothandapani M., The Influence of Heat and Mass Transfer on MHD Peristaltic Flow Through
a Porous Space with Compliant Walls, Appl. Math. Comput., Doi 10.1016/j.amc. (2009).
[10] Eckert E.R.G., Drake R.M., "Analysis of Heat and Mass Transfer", McGraw-Hill, New York, (1972).
[11] Nadeem S., Noreen Sher Akbar, Influence of Radially Varying MHD on the Peristaltic Flow in an Annulus with Heat and Mass Transfer, Taiw. Institute. Chem.Enging. Doi: 10.1016/ j.jtice (2009).
[12] Nadeem S., Noreen Sher Akbar, Naheeda Bibi, Sadaf Ashiq, Influence of Heat and Mass Transfer on Peristaltic Flow of a Third Order Fluid in a Diverging Tube, Commun. Nonlinear. Sci. Numer. Simulat., Doi: 10.1016/j.cnsns. (2009).
[13] S. Nadeem, Noreen Sher Akbar, Influence of Heat and Mass Transfer on a Peristaltic Motion of a Jeffrey-Six Constant Fluid in an Annulus, Heat Mass Transf.,    

Files

Share

How to cite

Statistics