Volume 2, Issue 2
Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects

Gurunath. C. Sankad, G. Radhakrishnamacharya & J. V. Ramanamurthy

DOI: 10.4208/aamm.09-m0940

Adv. Appl. Math. Mech., 2 (2010), pp. 222-237.

Published online: 2010-02

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  • Abstract

Peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel with wall effects is studied. Assuming that the wave length of the peristaltic wave is large in comparison to the mean half width of the channel, a perturbation method of solution is obtained in terms of wall slope parameter, under dynamic boundary conditions. Closed form expressions are derived for the stream function and average velocity and the effects of pertinent parameters on these flow variables have been studied. It has been observed that the time average velocity increases numerically with micropolar parameter. Further, the time average velocity also increases with stiffness in the wall.

  • Keywords

Peristaltic motion micropolar fluid dynamic boundary conditions

  • AMS Subject Headings

76Z05 76A05.

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COPYRIGHT: © Global Science Press

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@Article{AAMM-2-222, author = {Gurunath. C. Sankad, G. Radhakrishnamacharya and J. V. Ramanamurthy}, title = {Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {2}, pages = {222--237}, abstract = {

Peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel with wall effects is studied. Assuming that the wave length of the peristaltic wave is large in comparison to the mean half width of the channel, a perturbation method of solution is obtained in terms of wall slope parameter, under dynamic boundary conditions. Closed form expressions are derived for the stream function and average velocity and the effects of pertinent parameters on these flow variables have been studied. It has been observed that the time average velocity increases numerically with micropolar parameter. Further, the time average velocity also increases with stiffness in the wall.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0940}, url = {http://global-sci.org/intro/article_detail/aamm/8329.html} }
TY - JOUR T1 - Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects AU - Gurunath. C. Sankad, G. Radhakrishnamacharya & J. V. Ramanamurthy JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 222 EP - 237 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0940 UR - https://global-sci.org/intro/article_detail/aamm/8329.html KW - Peristaltic motion KW - micropolar fluid KW - dynamic boundary conditions AB -

Peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel with wall effects is studied. Assuming that the wave length of the peristaltic wave is large in comparison to the mean half width of the channel, a perturbation method of solution is obtained in terms of wall slope parameter, under dynamic boundary conditions. Closed form expressions are derived for the stream function and average velocity and the effects of pertinent parameters on these flow variables have been studied. It has been observed that the time average velocity increases numerically with micropolar parameter. Further, the time average velocity also increases with stiffness in the wall.

Gurunath. C. Sankad, G. Radhakrishnamacharya & J. V. Ramanamurthy. (1970). Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects. Advances in Applied Mathematics and Mechanics. 2 (2). 222-237. doi:10.4208/aamm.09-m0940
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