Heat and Mass Transfer

, Volume 45, Issue 10, pp 1261–1269 | Cite as

Pulsatile flow with heat transfer of dusty magnetohydrodynamic Ree-Eyring fluid through a channel

  • Hameda Mohammed Shawky


The flow due to the pulsatile pressure gradient of dusty non-Newtonian fluid with heat transfer in a channel is considered. The system is stressed by an external magnetic field. The non-Newtonian fluid under consideration is obeying the rheological equation of state due to Ree-Eyring’s stress–strain relation. The equations of momentum and energy have been solved by using Lightill method. The velocity and temperature distributions of the two phase of the dusty fluid are obtained. The effects of various physical parameters of distributions the problem on these distributions are discussed and illustrated graphically through a set of figure.


Heat Transfer Reynolds Number Pulsatile Flow Amplitude Increase Eckert Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    O’Neill ME (1970) Flow between two parallel planes, under the restriction that the Reynolds number of the perturbed flow is small enough. Chem Eng Sci 25:283CrossRefGoogle Scholar
  2. 2.
    Srivastava AC (1963) Reiner-Rivlin “second-order” fluids. J Fluid Mech 17:171zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Eldabe NTM, Mahmoud El Hassan M Oaf (1999) Flow of dilute polymer solutions through porous medium between two horizontal plates. J Inst Math Comp Sci 12(3):249–261Google Scholar
  4. 4.
    Eldabe NTM, Saddeck G, El Sayed AF (2001) Non-Newtonian flow formation in Coutte motion in magnetohydrodynamics with time varying suction. Mech Mech Eng Int J 5(2):237–251Google Scholar
  5. 5.
    Eldabe NTM, Hassan AAA (1991) Pulsatile viscoelastic flow through a channel bounded by two permeable parallel plates. Can J phys 69:75Google Scholar
  6. 6.
    Eldabe NTM, Elmahands SMG (1995) Heat transfer of MHD non-Newtonian Casson fluid flow between two rotating cylinders. J phys Sci Jpn 64(11):4164Google Scholar
  7. 7.
    Powell RE, Eyring H (1944) Mechanisms for there Laxation theory of viscosity. Nature 154:427CrossRefGoogle Scholar
  8. 8.
    Datta N, Dala DC, Mishra SK (1993) Unsteady heat transfer to pulsatile flow of a dusty viscous incompressible fluid in a channel. J Heat Mass Transf 36(7):1783–1788zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsFaculty of Women AL-Azhar UniversityCairoEgypt

Personalised recommendations