Sains Malaysiana 43(10)(2014): 1583–1591

 

MHD Mixed Convection Peristaltic Flow with Variable Viscosity and Thermal Conductivity

(Aliran Peristalsis Perolakan MHD Bercampur dengan Kelikatan yang Berubah-ubah dan Kekonduksian Terma)

 

T. HAYAT1,2, F.M. ABBASI1*, B. AHMAD2 & A. ALSAEDI2

 

1Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000

Pakistan

 

2Nonlinear Analysis and Applied Mathematics (NAAM), Research Group

Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

 

Received: 13 January 2014/Accepted: 3 March 2014

 

ABSTRACT

This article concerns with a mixed convection peristaltic flow of an electrically conducting fluid in an inclined asymmetric channel. Analysis has been carried out in the presence of Joule heating. The fluid viscosity and thermal conductivity are assumed to vary as a linear function of temperature. A nonlinear coupled governing system is computed. Numerical results were presented for the velocity, pressure gradient, temperature and streamlines. Heat transfer rate at the wall is computed and analyzed. Graphs reflecting the contributions of embedded parameters were discussed.

 

Keywords: Joule heating; mixed convection; variable thermal conductivity; variable viscosity

 

ABSTRAK

Artikel ini berkaitan dengan aliran peristalsis perolakan yang bercampur dengan cecair elektrik yang dijalankan di saluran asimetri cenderung. Analisis telah dijalankan dengan kehadiran pemanas Joule. Kelikatan cecair dan kekonduksian terma dianggap berubah sebagai fungsi linear suhu. Sistem pengelasan terganding tak linear dikira. Keputusan kajian berangka dibentangkan bagi halaju, kecerunan tekanan, suhu dan arus. Kadar pemindahan haba pada dinding dikira dan dianalisis. Graf yang mencerminkan sumbangan parameter yang tertanam dibincangkan.

 

Kata kunci: Kekonduksian terma yang berubah-ubah; kelikatan yang berubah-ubah; pemanas Joule; perolakan bercampur

REFERENCES

Abbasi, F.M., Hayat, T. & Ahmad, B. 2014a. Peristaltic flow in an asymmetric channel with convective boundary conditions and Joule heating. J. Cent. South Univ. 21: 1411-1416.

Abbasi, F.M., Hayat, T., Alsaedi, A. & Ahmad, B. 2014b. Soret and Dufour effects on peristaltic transport of MHD fluid with variable viscosity. Appl. Math. Inf. Sci. 8: 211-219.

Abd Elmaboud, Y. & Mekheimer Kh., S. 2011. Non-linear peristaltic transport of a second-order fluid through a porous medium. Applied Mathematical Modelling 35: 2695-2710.

Hayat, T. & Abbasi, F.M. 2011. Variable viscosity effects on the peristaltic motion of a third order fluid. Int. J. Numer. Methods Fluids 67: 1500-1515.

Hayat, T., Abbasi, F.M. & Alsaedi, A. 2014a. Soret and Dufour effects on peristaltic flow in an asymmetric channel. Arab. J. Sci. Eng. 39: 4341-4349.

Hayat, T., Abbasi, F.M., Ahmad, B. & Alsaedi, A. 2014b. Peristaltic transport of Carreau-Yasuda fluid in a curved channel with slip effects. PLoS ONE 9(4): e95070.

Hayat, T., Abbasi, F.M., Alsaedi, A. & Alsaadi, F. 2014c. Hall and Ohmic heating effects on the peristaltic transport of Carreau- Yasuda fluid in an asymmetric channel. Z. Naturforsch. 69a: 43-51.

Hayat, T., Abbasi, F.M., Al-Yami, M. & Monaquel, S. 2014d. Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects. J. Mol. Liq. 194: 93-99.

Hayat, T., Abbasi, F.M. & Hendi, A.A. 2011. Heat transfer analysis for peristaltic mechanism in variable viscosity fluid. Chin. Phys. Lett. 28: 044701.

Hina, S., Mustafa, M., Hayat, T. & Alseadi, A. 2013. Peristaltic flow of pseudoplastic fluid in a curved channel with wall properties. Journal of Applied Mechanics 80: 024501-1-7.

Latham, T.W. 1966. Fluid motion in a peristaltic pump. MS. Thesis. Massachusetts Institute of Technology, Cambridge, M.A. (unpublished).

Mekheimer Kh, S., Salem, A.M. & Zaher, A.Z. 2014. Peristaltically induced MHD slip flow in a porous medium due to a surface acoustic wavy wall. Journal of the Egyptian Mathematical Society 22: 143-151.

Mekheimer Kh., S., Abd Elmaboud, Y. & Abdellateef, A.I. 2013a. Particulate suspension flow induced by sinusoidal peristaltic waves through eccentric cylinders: Thread annular. Int. J. Biomath. 06: 1350026.

Mekheimer Kh., S., Komy, S.R. & Abdelsalamd, S.I. 2013b. Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel. Chin. Phys. B 22: 124702.

Mekheimer Kh., S., Husseny, S.Z.A. & Abd Elmaboud, Y. 2010. Effects of heat transfer and space porosity on peristaltic flow in a vertical asymmetric channel. Numer. Meth. Partial Diff. Eqn. 26: 747-770.

Pandey, S.K. & Tripathi, D. 2012. Unsteady peristaltic transport of Maxwell fluid through finite length tube: Application to oesophageal swallowing. Appl. Math. Mech. 33: 15-24.

Shapiro, A.H., Jaffrin, M.Y. & Wienberg, S.L. 1969. Peristaltic pumping with long wavelengths at low Reynolds number. J. Fluid Mech. 37: 799-825.

Srinivas, S., Gayathri, R. & Kothandapani, M. 2011. Mixed convective heat and mass transfer in an asymmetric channel with peristalsis. Communications in Nonlinear Science and Numerical Simulation 16: 1845-1862.

Srinivas, S. & Kothandapani, M. 2008. Peristaltic transport in an asymmetric channel with heat transfer - A note. Int. Commun. Heat Mass Transf. 35: 514-522.

Tripathi, D., Ali, N., Hayat, T., Chuabe, M.K. & Hendi, A.A. 2011. Peristaltic flow of MHD Jeffrey fluid through finite length cylindrical tube. Appl. Math. Mech. 32: 1231-1244.

 

 

*Corresponding author; email: abbasisarkar@gmail.com

 

 

previous