Effect of Magnetic Field and Porosity on Peristaltic Flow of Micropolar Fluid


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


In this paper, the peristaltic flow of micropolar fluid in a flexible tube with viscoelastic is studied under effect of magnetic field and porosity. The Runge-Kutta method is used to solve the governing equations of motion resulting from a perturbation technique for small values of amplitude ratio. The time mean axial velocity profiles are presented for the case of free pumping and analyzed to observe the influence of porosity and magnetic field for various values of radial r and wave numbe. The numerical results of the time mean velocity profile  are discussed in detail for homogeneous fluid under effect of magnetic field and porosity for different cases by figures. The results indicate that the effect of porosity and magnetic field are very pronounced. Numerical results are  given and illustrated graphically.
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords


Peristaltic Motion; Micropolar Fluid; Magnetic Field; Porosity; Runge-Kutta Method; Velocity Profiles

Full Text:

PDF


References


Pandey S. K., Chaube M.K., Peristaltic flow of a micropolar fluid through a porous medium in the presence of an external magnetic field, Communications in Nonlinear Science and Numerical Simulation, 16 (2011), pp. 3591-3601.

Hayat T., Noreen S., Shabab Alhothuali M., Asghar S., Alhomaidan A., Peristaltic flow under the effects of an induced magnetic field and heat and mass transfer, International Journal of Heat and Mass Transfer, 55 (2012), pp. 443-452.

Hayat T., Noreen S., Peristaltic transport of fourth grade fluid with heat transfer and induced magnetic field, Comptes Rendus Mécanique, 338 (2010), pp. 518-528.

Muthu P., Rathish Kumar B.V., and Chandra P., Peristaltic motion of micropolar fluid in circular cylindrical tubes: Effect of wall properties, Appl. Math. Model, 32 (2008), pp. 2019–2033.

Srinivas S., Kothandapani M., The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls, Applied Mathematics and Computation, 213 (2009), pp. 197-208.

Srinivas S., Muthuraj R., Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method, Communications in Nonlinear Science and Numerical Simulation, 15 (2010), pp. 2098-2108.

Hayat T., Sajjad R., Abbas Z., Sajid M., Awatif A. Hendi, Radiation effects on MHD flow of Maxwell fluid in a channel with porous medium, International Journal of Heat and Mass Transfer, 54 (2011), pp. 854-862.

Mekheimer Kh. S., Effect of the induced magnetic field on peristaltic flow of a couple stress fluid, Physics Letters A, 372 (2008), pp. 4271-4278.

Mekheimer Kh. S., Abd elmaboud Y., Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope, Physica A, 387l (2008), pp 2403-2415.

Abd elmaboud Y., Mekheimer Kh. S., Non-linear peristaltic transport of a second-order fluid through a porous medium, Applied Mathematical Modelling, 35 (2011), pp. 2695-2710.

Srinivas S. and Pushparaj V., Nonlinear peristaltic transport in an inclined asymmetric channel, Comm. Nonlinear Sci. Numer. Simul, 13 (2008), pp. 1782–1795.

Mekheimer Kh. S., Abd elmaboud Y., The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope, Physics Letters A, 372 (2008), pp. 1657-1665.

Radhakrishnamacharya G. and Srinivasulu Ch., Influence of wall properties on peristaltic transport with heat transfer, C. R. Mecanique, 335 (2007), pp. 369-373.

Srinivasacharya D., Radhakrishnamarya G. and Srinivasulu Ch., Influence of wall properties on peristalsis in the presence of magnetic field, Int. J. Fluid Mech. Res.,34 (2007), pp. 374 –384.

Wang Y., Hayat T., Ali N. and Oberlack M., Magneto hydrodynamic peristaltic motion of a Sisko fluid in a symmetric or asymmetric channel, Physica A, 387 (2008), pp. 347–362.

Ali N., Hayat T. and Asghar S., Peristaltic flow of a Maxwell fluid in a channel with compliant walls, Chaos Solitons Fract, 39 (2009), pp. 407–416.

Tripathi D., Pandey S. K. and Das S., Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel, Appl. Math. Comput., 215 (2010), pp. 3645-3654.

A. M. Abd-Alla and G. A. Yahya,Thermal stresses in infinite circular cylinder subjected to rotation, Appl. Math. Mech. -Engl. ,33 (2012), pp. 1059–1078.

A. M. Abd-Alla, G. A. Yahya and A. M. Farhan, Thermal stresses in an infinite circular cylinder, Journal of Mechanical Science and Technology ,26 (2012) pp. 1829-1839.

A. M. Abd-Alla, G. A. Yahya and A. M. Farhan, Thermal stresses in an infinite circular cylinder, Journal of Mechanical Science and Technology,26 (2012), pp. 1829-1839.

A. M. Abd-Alla, G. A. Yahya and A. M. Farhan, Effect of rotation and non-homogeneity on the radial vibration in orthotropic hollow sphere, Int. Journal of Mechanical and Mechanics Engineering, 12 (2012) pp. 1-10.

A. M. Abd-Alla, G. A. Yahya and S.R. Mahmoud "Effect of magnetic field and non-homogeneity on the radial vibrations in hollow rotating elastic cylinder", Meccanica, 48 (2013), pp. 555- 566.

A. M. Abd-Alla, G. A. Yahya, S.R. Mahmoud and H.S. Alosaimi "Effect of the rotation, magnetic field and initial stress on peristaltic motion of micropolar fluid", Meccanica, 47 (2012), pp.1455-1465.


Refbacks

  • There are currently no refbacks.


Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize