Peristaltic transport of a Casson fluid in an inclined channel

P. Nagarani

Korea-Australia Rheology Journal, Vol.22, No.2, 105-111, June, 2010

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Peristaltic transport of a Casson fluid in an inclined channel

P. Nagarani^†

Department of Mathematics, The University of the West Indies, Mona Campus, Kingston 7, Jamaica, West Indies

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Peristaltic transport of a Casson fluid in an inclined channel is analyzed under long wavelength and low Reynolds number assumptions. The flow is investigated in a wave frame of reference moving with velocity of the wave. The expressions for velocity, stream function, pressure rise, flow rate and flow resistance are obtained. The combined effect of plug width and angle of inclination on pumping characteristics, frictional force on wall and trapping phenomenon is discussed. It is observed that the angle of inclination and plug width of the fluid show significant impact on pressure rise, frictional force and formation of trapped bolus. It is also observed that the effect of frictional force with respect to each parameter is similar but in converse to the case of pressure rise distribution.

Keywords:peristaltic transport;inclined channel;casson fluid;non-newtonian fluid;trapping;frictional force

[References]

Burns JC, Parkes T, J. Fluid Mech., 29, 731 (1967)
Fung YC, Biomechanics: Mechanical Properties of Living Tissue, Springer Verlag, New York. (1981)
Fung YC, Biodynamics Circulation, Springer Verlag, New York. (1984)
Hakeem AE, Naby AE, El Shamy II, Appl. Math. Sciences, 1, 2967 (2007)
Haroun MH, Computational Material Science, 39, 324 (2007)
Latham TW, Fluid motion in a peristaltic pump, M.S thesis M. I. T., Cambridge. (1966)
Mekheimer, The Arabian Jour. For Sci. and Eng., 28, 183 (2003)
Mernone AV, Mazumdar JN, Australasian Phy. & Eng. Sci. in Medicine, 23, 94 (2000)
Mernone AV, Mazumdar JN, Lucas SK, Mathematical and Computer Modelling, 35, 894 (2002)
Nagarani P, Sarojamma G, Australasian Phy. & Eng. Sci. in Medicine, 27, 49 (2004)
Shapiro AH, Jaffrin MY, Weinberg SL, J. Fluid Mech., 37, 799 (1969)
Srivastava LM, Srivastava VP, J. Biomechanics, 17, 821 (1984)
SRIVASTAVA VP, SAXENA M, Rheol. Acta, 34(4), 406 (1995)
Vajravelu K, Sreenadh S, Ramesh Babu V, Int. Jour. Of Non-Linear Mechanics, 40, 83 (2005)

[Referenced By]

[1] Burns JC, Parkes T, J. Fluid Mech., 29, 731 (1967)

[2] Fung YC, Biomechanics: Mechanical Properties of Living Tissue, Springer Verlag, New York. (1981)

[3] Fung YC, Biodynamics Circulation, Springer Verlag, New York. (1984)

[4] Hakeem AE, Naby AE, El Shamy II, Appl. Math. Sciences, 1, 2967 (2007)

[5] Haroun MH, Computational Material Science, 39, 324 (2007)

[6] Latham TW, Fluid motion in a peristaltic pump, M.S thesis M. I. T., Cambridge. (1966)

[7] Mekheimer, The Arabian Jour. For Sci. and Eng., 28, 183 (2003)

[8] Mernone AV, Mazumdar JN, Australasian Phy. & Eng. Sci. in Medicine, 23, 94 (2000)

[9] Mernone AV, Mazumdar JN, Lucas SK, Mathematical and Computer Modelling, 35, 894 (2002)

[10] Nagarani P, Sarojamma G, Australasian Phy. & Eng. Sci. in Medicine, 27, 49 (2004)

[11] Shapiro AH, Jaffrin MY, Weinberg SL, J. Fluid Mech., 37, 799 (1969)

[12] Srivastava LM, Srivastava VP, J. Biomechanics, 17, 821 (1984)

[13] SRIVASTAVA VP, SAXENA M, Rheol. Acta, 34(4), 406 (1995)

[14] Vajravelu K, Sreenadh S, Ramesh Babu V, Int. Jour. Of Non-Linear Mechanics, 40, 83 (2005)