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##### Dispersion of a Solute in Peristaltic Motion of a Couple Stress Fluid in the Presence of Magnetic Field

**Authors:**
Habtu Alemayehu,
G. Radhakrishnamacharya

**Abstract:**

**Keywords:**
Dispersion,
Peristalsis,
Couple stress fluid,
Chemicalreaction,
Magnetic field.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1330035

**References:**

[1] G. I. Taylor, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Roy. Soc. Lond., vol.A 219, pp.186-203, 1953.

[2] G. I. Taylor, The dispersion of matter in turbulent flow through a pipe, Proc. Roy. Soc. Lond., vol.A 223, pp.446-468, 1954a.

[3] G. I. Taylor, Conditions under which dispersion of a solute in a stream of solvent can be used to measure molecular diffusion, Proc. Roy. Soc. Lond., vol.A 225, pp. 473-477, 1954b.

[4] R. Aris, On the dispersion of a solute in a fluid flowing through a tube, Proc. Roy. Soc. Lond., vol.A 235, pp.67-77, 1956.

[5] B. K. N. Dutta, N. C. Roy and A. S. Gupta, Dispersion of a solute in a non-Newtonian fluid with simultaneous chemical reaction, Mathematica- Mechanica fasc., vol.2, pp.78-82, 1974.

[6] J. B. Shukla, R. S. Parihar and B. R. P. Rao, Dispersion in non-Newtonian fluids: Effects of chemical reaction, Rheologica Acta, vol.18, pp.740-748, 1979.

[7] P. Chandra and R. P. Agarwal, Dispersion in simple microfluid flows, International Journal of Engineering Science, vol.21, pp.431-442,1983.

[8] D. Philip, and P. Chandra, Effects of heterogeneous and homogeneous reactions on the dispersion of a solute in simple microfluid, Indian J. Pure Appl. Math., vol.24, pp.551-561, 1993.

[9] V. M. Soundalgekar and 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] P. S. Gupta and A. S. Gupta, Effect of homogeneous and heterogeneous reactions on the dispersion of a solute in the laminar flow between two plates, Proc. Roy. Soc. Lond., vol.A 330, pp.59-63, 1972.

[11] V. V. Ramana Rao and D. Padma, Homogeneous and heterogeneous reaction on the dispersion of a solute in MHD Couette flow, Curr. Sci., vol.44, pp.803-804, 1975.

[12] V. V. Ramana Rao and D. Padma, Homogeneous and heterogeneous reaction on the dispersion of a solute in MHD Couette flow II, Curr. Sci., vol.46, pp.42-43, 1977.

[13] D. Padma and V. V. Ramana Rao, Effect of Homogeneous and heterogeneous reaction on the dispersion of a solute in laminar flow between two parallel porous plates, Indian Journal of Technology, vol.14, pp.410-412, 1976.

[14] A. H. Shapiro, M. Y. Jaffrin and S. L.Weinberg, Peristaltic pumping with with long wavelengths at low Reynold number, J. Fluid Mech., vol.37, pp.799-825, 1969.

[15] Y. C. Fung, and C. S. Yih, Peristaltic transport, J. Appl. Mech. Trans. ASME, vol.5, pp.669-675, 1968.

[16] J. C. Misra and S. K. Pandey, Peristaltic transport in a tapered tube, Mathl. Comput. Modelling, vol.22, pp.137-151, 1995.

[17] J. C. Misra and S. K. Pandey, Peristaltic flow of a multilayered powerlaw fluid through a cylindrical tube, International Journal of Engineering Science, vol.39, pp.387-402, 2001.

[18] M. Mishra and A. R. Rao, Peristaltic transport of a power law fluid in a porous tube, J. Non-Newtonian Fluid Mech., vol.121, pp.163-174, 2004.

[19] G. Radhakrishnamacharya, Long wavelength approximation to peristaltic motion of a power law fluid, Rheologica Acta, vol.21, pp.30-35, 1982.

[20] Kh.S. Mekheimer, Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field, Journal of Applied Mathematics, Article Id 570825, 23 pages, 2008.

[21] Tasawar Hayat, Masood Khan, Saleem Ashgar and A. M. Siddiqui, A Mathematical Model of Peristalsis in Tubes through a Porous Medium, Journal of Porous Media, vol.9, pp.55-67, 2006.

[22] J. C Misra, S. Maiti, and G.C. Shit, Peristaltic Transport of a Physiological Fluid in an Asymmetric Porous Channel in the Presence of an External Magnetic Field, Journal of Mechanics in Medicine and Biology, vol.8, pp.507-525, 2008.

[23] A. Ramachandra Rao and Manoranjan Mishra, Peristaltic transport of a power-law fluid in a porous tube, Journal of Non-Newtonian Fluid Mechanics, vol.121, pp.163-174, 2004.

[24] V.K. Stokes, Couple Stress Fluid, Physics in Fluids, vol.9, pp.1709-1715. 1966.

[25] S. Islam and C. Y. Zhou, Exact solutions for two dimensional flows of couple stress fluids, Z. angew. Math. Phys., vol.58, pp.1035-1048, 2007.

[26] L. M. Srivastava, Peristaltic transport of a couple-stress fluid, Rheologica Acta, vol.25, pp.638-641, 1986.

[27] Kh.S. Mekheimer and Y. Abd elmaboud, Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope, Physica A., vol.387, pp.2403-2415, 2008.

[28] A. M. Sobh, Interaction of Couple Stresses and Slip Flow on Peristaltic Transport in Uniform and Nonuniform Channels, Turkish J. Eng. Env. Sci., vol.32, pp.117-123, 2008.