Dispersion of a solute in peristaltic motion of a couple stress fluid through a porous medium

作者: G. Radhakrishnamacharya , Habtu Alemayehu

DOI: 10.5556/J.TKJM.43.2012.811

关键词: Couple stressReaction ratePorous mediumPermeability (earth sciences)ThermodynamicsIndex of dispersionHomogeneousChemical reactionPeristalsisChemistry

摘要: The paper presents an analytical solution for dispersion of a solute in the peristaltic motion couple stress fluid through porous medium presence both homogeneous and heterogeneous chemical reactions. average effective coefficient has been found using Taylor's limiting condition long wavelength approximation. effects various relevant parameters on have studied. increases with permeability parameter but decreases reaction rate parameter, parameter.

参考文章(26)
Ayman Mahmoud Sobh, Interaction of Couple Stresses and Slip Flow on Peristaltic Transport in Uniform and Nonuniform Channels Turkish Journal of Engineering and Environmental Sciences. ,vol. 32, pp. 117- 123 ,(2008)
Kh.S. Mekheimer, Y. Abd elmaboud, Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope Physica A-statistical Mechanics and Its Applications. ,vol. 387, pp. 2403- 2415 ,(2008) , 10.1016/J.PHYSA.2007.12.017
On the Dispersion of a Solute in a Fluid Flowing through a Tube Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 235, pp. 67- 77 ,(1956) , 10.1098/RSPA.1956.0065
Saeid Abbasbandy, Tasawar Hayat, Rahmat Ellahi, Saleem Asghar, Numerical Results of a Flow in a Third Grade Fluid between Two Porous Walls Zeitschrift für Naturforschung A. ,vol. 64, pp. 59- 64 ,(2009) , 10.1515/ZNA-2009-1-210
Moh'd Ahmad Al-Nimr, M. K. Alkam, Basic Fluid Flow Problems in Porous Media Journal of Porous Media. ,vol. 3, pp. 45- 59 ,(2000) , 10.1615/JPORMEDIA.V3.I1.40
V. M. Soundalgekar, P. Chaturani, Effects of couple-stresses on the dispersion of a soluble matter in a pipe flow of blood Rheologica Acta. ,vol. 19, pp. 710- 715 ,(1980) , 10.1007/BF01521862
S. Islam, C. Y. Zhou, Exact solutions for two dimensional flows of couple stress fluids Zeitschrift für Angewandte Mathematik und Physik. ,vol. 58, pp. 1035- 1048 ,(2007) , 10.1007/S00033-007-5075-5
J. C. Misra, S. K. Ghosh, A mathematical model for the study of blood flow through a channel with permeable walls Acta Mechanica. ,vol. 122, pp. 137- 153 ,(1997) , 10.1007/BF01181995
K. N. Mehta, M. C. Tiwari, Dispersion in Presence of Slip and Chemical Reactions in Porous-Wall Tube Flow Defence Science Journal. ,vol. 38, pp. 1- 11 ,(1988) , 10.14429/DSJ.38.4819
The Dispersion of Matter in Turbulent Flow through a Pipe Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 223, pp. 446- 468 ,(1954) , 10.1098/RSPA.1954.0130