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Analytical Modelling of Three-Dimensional Squeezing Nanofluid Flow in a Rotating Channel on a Lower Stretching Porous Wall

Author

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  • Navid Freidoonimehr
  • Behnam Rostami
  • Mohammad Mehdi Rashidi
  • Ebrahim Momoniat

Abstract

A coupled system of nonlinear ordinary differential equations that models the three-dimensional flow of a nanofluid in a rotating channel on a lower permeable stretching porous wall is derived. The mathematical equations are derived from the Navier-Stokes equations where the governing equations are normalized by suitable similarity transformations. The fluid in the rotating channel is water that contains different nanoparticles: silver, copper, copper oxide, titanium oxide, and aluminum oxide. The differential transform method (DTM) is employed to solve the coupled system of nonlinear ordinary differential equations. The effects of the following physical parameters on the flow are investigated: characteristic parameter of the flow, rotation parameter, the magnetic parameter, nanoparticle volume fraction, the suction parameter, and different types of nanoparticles. Results are illustrated graphically and discussed in detail.

Suggested Citation

  • Navid Freidoonimehr & Behnam Rostami & Mohammad Mehdi Rashidi & Ebrahim Momoniat, 2014. "Analytical Modelling of Three-Dimensional Squeezing Nanofluid Flow in a Rotating Channel on a Lower Stretching Porous Wall," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-14, August.
    • Handle: RePEc:hin:jnlmpe:692728
    DOI: 10.1155/2014/692728
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