Technical Brief

Effects of Joule Heating and Convective Boundary Conditions on Magnetohydrodynamic Peristaltic Flow of Couple-Stress Fluid

[+] Author and Article Information
Saima Noreen

Department of Mathematics,
Comsats Institute of Information Technology,
Park Road,
Chak Shahzad,
Islamabad 44000, Pakistan
e-mail: laurel_lichen@yahoo.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received February 1, 2016; final manuscript received April 12, 2016; published online May 17, 2016. Editor: Portonovo S. Ayyaswamy.

J. Heat Transfer 138(9), 094502 (May 17, 2016) (6 pages) Paper No: HT-16-1049; doi: 10.1115/1.4033419 History: Received February 01, 2016; Revised April 12, 2016

Peristaltic motion of couple-stress fluid with Joule heating through asymmetric channel under the effect of magnetic field is investigated. Robin-type (convective) boundary conditions are employed. The basic equations of couple-stress fluid are modeled in wave frame of reference by utilizing long wavelength and low Reynolds number approximation. Numerical solution of the resulting problem is analyzed. The effects of various parameters of interest on the velocity, pressure rise, and temperature are discussed and illustrated graphically.

Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.


Latham, T. W. , 1996, “ Fluid Motion in a Peristaltic Pump,” MIT, Cambridge, MA.
Naga Rani, P. , and Sarojamma, G. , 2004, “ Peristaltic Transport of a Casson Fluid in an Asymmetric Channel,” Australas. Phys. Eng. Sci. Med., 27(2), pp. 49–59. [CrossRef] [PubMed]
Mekheimer, Kh. S. , and Abd Elmaboud, Y. , “ Peristaltic Flow of a Couple Stress Fluid in an Annulus: Application of an Endoscope,” Physica A, 387(11), pp. 2403–2415. [CrossRef]
Kothandapani, M. , and Srinivas, S. , 2008, “ Peristaltic Transport of a Jeffrey Fluid Under the Effect of Magnetic Field in an Asymmetric Channel,” Int. J. Non-Linear Mech., 43(9), pp. 915–924. [CrossRef]
Stokes, V. K. , 1966, “ Couple Stresses in Fluids,” Phys. Fluids, 9(9), pp. 1709–1715. [CrossRef]
Stokes, V. K. , 1984, Theories of Fluids With Microstructure, Springer, New York.
Devakar, M. , and Iyengar, T. K. V. , 2010, “ Run Up Flow of a Couple Stress Fluid Between Parallel Plates,” Nonlinear Anal. Modell. Control, 15(1), pp. 29–37.
Devakar, M. , and Iyengar, T. K. V. , 2008, “ Stokes' Problems for an Incompressible Couple Stress Fluid,” Nonlinear Anal. Modell. Control, 1(2), pp. 181–190.
Srinivasacharya, D. , Srinivasacharyulu, N. , and Odelu, O. , 2009, “ Flow and Heat Transfer of Couple Stress Fluid in a Porous Channel With Expanding and Contracting Walls,” Int. Commun. Heat Mass Transfer, 36(2), pp. 180–185. [CrossRef]
Agarwal, H. L. , and Anwaruddin, B. , 1984, “ Peristaltic Flow of Blood in a Branch,” Ranchi Univ. Math. J., 15, pp. 111–118.
Mekheimer, Kh. S. , 2004, “ Peristaltic Flow of Blood Under the Effect of Magnetic Field in a Non-Uniform Channels,” Appl. Math. Comput., 153(3), pp. 763–777.
Eldabe, N. T. M. , El Sayed, M. F. , Ghaly, A. Y. , and Sayed, H. M. , 2007, “ Peristaltically Induced Transport of MHD Biviscosity Fluid in a Non-Uniform Tube,” Physica A, 383(2), pp. 253–266. [CrossRef]
Mekheimer, Kh. S. , and Elmaboud, Y. A. , 2008, “ The Influence and Heat Transfer and Magnetic Field on Peristaltic Transport of a Magnetic Field on Peristaltic Transport of Newtonian Fluid in a Vertical Annulus: Application of an Endoscope,” Phys. Lett. A, 372(10), pp. 1657–1665. [CrossRef]
Vajravelu, K. , Sreenadh, S. , and Saravana, R. , 2013, “ Combined Influence of Velocity Slip, Temperature and Concentration Jump Conditions on MHD Peristaltic Transport of a Carreau Fluid in a Non-Uniform Channel,” Appl. Math. Comput., 225, pp. 656–676.
Radhakrishnamacharya, G. , and Murty, V. R. , 1993, “ Heat Transfer to Peristaltic Transport in a Non-Uniform Channel,” Def. Sci. J., 43(3), pp. 275–280. [CrossRef]
Srinivas, S. , Muthuraj, R. , and Sakina, J. , “ A Note on the Influence of Heat and Mass Transfer on a Peristaltic Flow of a Viscous Fluid in a Vertical Asymmetric Channel With Wall Slip,” Chem. Ind. Chem. Eng. Q., 18(3), pp. 483–493. [CrossRef]
Srinivas, S. , and Kothandapani, M. , “ Peristaltic Transport in an Asymmetric Channel With Heat Transfer—A Note,” Int. Commun. Heat Mass Transfer, 35(4), pp. 514–522. [CrossRef]
Tripathi, D. , 2013, “ Study of Transient Peristaltic Heat Flow Through a Finite Porous Channel,” Math. Comput. Modell., 57, pp. 1270–1283. [CrossRef]
Tripathi, D. , 2012, “ Peristaltic Hemodynamic Flow of Couple-Stress Fluids Through a Porous Medium With Slip Effect,” Transp. Porous Med., 92(3), pp. 559–572. [CrossRef]
Tripathi, D. , and Anwar Beg, O. , 2012, “ A Numerical Study of Oscillating Peristaltic Flow of Generalized Maxwell Viscoelastic Fluids Through a Porous Medium,” Transp. Porous Med., 95(2), pp. 337–348. [CrossRef]
Abd elmaboud, Y. , and Mekheimer, Kh. S. , 2011, “ Non-Linear Peristaltic Transport of a Second-Order Fluid Through a Porous Medium,” Appl. Math. Modell., 35(6), pp. 2695–2710. [CrossRef]
Wang, Y. , Ali, N. , and Hayat, T. , 2011, “ Peristaltic Motion of a Magnetohydrodynamic Generalized Second-Order Fluid in an Asymmetric Channel,” Numer. Methods Partial Differ. Equations, 27(2), pp. 415–435. [CrossRef]
Noreen, S. , Hayat, T. , Alsaedi, A. , and Qasim, M. , 2013, “ Mixed Convection Heat and Mass Transfer in Peristaltic Flow,” Indian J. Phys., 87(9), pp. 889–896. [CrossRef]
Makinde, O. D. , Chinyoka, T. , and Rundora, L. , 2011, “ Unsteady Flow of a Reactive Variable Viscosity Non-Newtonian Fluid Through a Porous Saturated Medium With Asymmetric Convective Boundary Conditions,” Comput. Math. Appl., 62(9), pp. 3343–3352. [CrossRef]
Rundora, L. , and Makinde, O. D. , 2013, “ Effects of Suction/Injection on Unsteady Reactive Variable Viscosity Non-Newtonian Fluid Flow in a Channel Filled With Porous Medium and Convective Boundary Conditions,” J. Pet. Sci. Eng., 108, pp. 328–335. [CrossRef]
Noreen, S. , and Qasim, M. , 2014, “ Peristaltic Flow With Inclined Magnetic Field and Convective Boundary Conditions,” Appl. Bionics BioMech., 11, pp. 61–67. [CrossRef]


Grahic Jump Location
Fig. 1

(a) Influence of γ on ΔPλ and (b) influence of M on ΔPλ

Grahic Jump Location
Fig. 2

(a) Influence of γ on u and (b) influence of M on u

Grahic Jump Location
Fig. 3

(a) Influence of η1 on Θ, (b) influence of η2 on Θ, (c) influence of M on Θ, and (d) influence of Br on Θ

Grahic Jump Location
Fig. 4

Streamlines for γ: (a) 2, (b) 3, and (c) 4

Grahic Jump Location
Fig. 5

Streamlines for M: (a) 0, (b) 2, and (c) 4



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In