Peristaltic flow and heat transfer of a conducting Phan-Thien-Tanner fluid in an asymmetric channel – application to chyme movement in small intestine

• Autorzy: Vajravelu K. , Sreenadh S. , Dhananjaya S. , Lakshminarayana P.

Identyfikatory

DOI

10.1515/ijame-2016-0042

• Języki publikacji: EN

Abstrakty

EN

In this paper, the influence of heat transfer on the peristaltic flow of a conducting Phan-Thien-Tanner fluid in an asymmetric channel with porous medium is studied. The coupled nonlinear governing differential equations are solved by a perturbation technique. The expressions for the temperature field, the stream function, the axial velocity, and the pressure gradient are obtained. The effects of the various physical parameters such as the magnetic parameter M, the permeability parameter σ, the Brinkman number Br and the Weissenberg number We on the pumping phenomenon are analyzed through graphs and the results are discussed in detail. It is observed that the velocity and the pressure are decreased with increasing the magnetic parameter M whereas the effect of the parameter M on the temperature field is quite the opposite.

Słowa kluczowe

EN

peristaltic flow; Phan-Thien-Tanner fluid; asymmetric channel; porous medium; trapping phenomena

PL

perystaltyka; płyn nienewtonowski; przepływ ciepła

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2016
• Tom: Vol. 21, no. 3
• Strony: 713--736
• Opis fizyczny: Bibliogr. 17 poz., wykr.

Twórcy

autor

Vajravelu K.

• Department of Mathematics, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, Florida 32816-1364, United States of America

autor

Sreenadh S.

• Department of Mathematics, Sri Venkateswara University, Tirupati 517 502, India

autor

Dhananjaya S.

• Department of Mathematics, Sri Venkateswara University, Tirupati 517 502, India

autor

Lakshminarayana P.

• Department of Mathematics, SreeVidyanikethan Engineering College, Tirupati 517 102, India

Bibliografia

• [1] Misra J.C. and Pandey S.K. (1999): Peristaltic transport of a non-Newtonian fluid with a peripheral layer. – Int. J. Engng. Sci., vol.37, pp.1841-58.
• [2] Usha S. and Rao A.R. (2000): Effect of curvature and inertia on the peristaltic transport in a two fluid system. – Int. J. Engng. Sci., vol.38, pp.1355-75.
• [3] Mishra M. and Rao A.R. (2004): Peristaltic transport of a power law fluid in a porous tube. – J. Non-Newtonian Fluid Mech., vol.121, pp.163-74.
• [4] Hayat T., Noreen S., Ali N. and Abbasbanday S. (2012): Peristaltic motion of Phan-Thien-Tanner fluid in a planar channel. – Numerical Methods for Partial Differential Equations, vol.28, pp.737-748.
• [5] Noreen Sher Akbar and Nadeem S. (2012): Peristaltic flow of a Phan-Thien-Tanner nanofluid in a diverging tube. – Heat Transfer - Asian Research, vol.41, pp.10-12.
• [6] Vajravelu K., Sreenadh S., Lakshminarayana P., Sucharitha G. and Rashidi M.M. (2015): Peristaltic flow of Phan-Thien-Tanner fluid in an asymmetric channel with porous medium. – Journal of Applied Fluid Mechanics, Accepted.
• [7] Vajravelu K., Radhakrishnamacharya G. and Radhakrishnamurty V. (2007): Peristaltic flow and heat transfer in a vertical porous annulus, with long wave length approximation. – Int. J. Non-Linear Mech., vol.42, pp.754-759.
• [8] Srinivas S. and Gayathri R. (2009): Peristaltic transport of a Newtonian fluid in a vertical asymmetric channel with heat transfer and porous medium. – Appl. Math. Comput., vol.215, pp.185-196.
• [9] Vajravelu K., Sreenadh S. and Lakshminarayana P. (2011): The influence of heat transfer on peristaltic transport of a Jeffrey fluid in a vertical porous stratum. – Commun. Non-Linear Sci. Numer. Simulat., vol.16, pp.3107-3125.
• [10] Sreenadh S., Lakshminarayana P. and Sucharitha G. (2011): Peristaltic flow of micropolar fluid in an asymmetric channel with permeable walls. – Int. J. of Appl. Math. Mech., vol.7, pp.18-37.
• [11] Vajravelu K., Sreenadh S., Sucharitha G. and Lakshminarayana P. (2014): Peristaltic transport of a conducting Jeffrey fluid in an inclined asymmetric channel. – Int. J. Biomath., vol.7, 1450064 (25 pages).
• [12] Mekheimer Kh.S. (2004): Peristaltic flow of blood under the effect of magnetic field in a non uniform channels. – Appl. Math. Comput., vol.153, pp.763-777.
• [13] Hayat T. and Ali N. (2008): Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube. – Commun. Nonlinear Sci. Num. Simulat., vol.13, pp.1343-1352.
• [14] Kothandapani M. and Srinivas S. (2008): Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel. – Int. J. Nonlinear Mech., vol.43, pp.915-924.
• [15] Noreen S., Hayat T. and Alsaedi A. (2011): Study of slip and induced magnetic field effects on peristaltic flow of pseudoplastic fluid. – Int. J. Phys Sci., vol.6, pp.8018-8026.
• [16] Hakeem Abd EI. and Nabby Abd EI. (2009): Creeping Flow of Phan-Thien–Tanner fluids in a peristaltic tube with an infinite long wavelength. – ASME J. Applied Mechanics, vol.76, 064504 (6 pages).
• [17] Eldabe N.T.M, El-Sayed M.F., Ghaly A.Y. and Sayed H.M. (2007): Peristically induced transport of an MHD biviscosity fluid in a non-uniform tube. – Physica A, vol.383, pp.253-66.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę