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CLOSED-FORM SOLUTIONS FOR MHD FLOW OF A SECOND-GRADE FLUID THROUGH POROUS SPACE

巻 2, 発行 2, 2011, pp. 125-132
DOI: 10.1615/SpecialTopicsRevPorousMedia.v2.i2.60
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要約

In this paper, closed-form solutions corresponding to the motion of a second-grade fluid through porous space have been established by means of the Laplace transform. The fluid is assumed to be electrically conducting in the presence of a uniform magnetic field and occupies the porous space over an infinite flat plate. Three characteristic examples are considered: (i) flow due to impulsive motion of the plate, (ii) flow due to the impulsive accelerating plate, and (iii) flow due to the nonuniformly accelerated plate. The analytical results are confirmed numerically by drawing several graphs. The influence of pertinent parameters on flow is delineated. It is noted that the effects of the viscoelastic parameter of the fluid on the flow are much stronger for small values of the viscoelastic parameter as compared with large values of the viscoelastic parameter of the fluid.

によって引用された
  1. Ali Farhad, Khan Ilyas, Mustapha Norzieha, Shafie Sharidan, Unsteady Magnetohydrodynamic Oscillatory Flow of Viscoelastic Fluids in a Porous Channel with Heat and Mass Transfer, Journal of the Physical Society of Japan, 81, 6, 2012. Crossref

  2. Sultan Q., Nazar M., Ahmad I., Ali U., Flow of Second Grade Fluid between two Walls Induced by Rectified Sine Pulses Shear Stress, Journal of Mechanics, 31, 5, 2015. Crossref

  3. Imran M.A., Khan I., Ahmad M., Shah N.A., Nazar M., Heat and mass transport of differential type fluid with non-integer order time-fractional Caputo derivatives, Journal of Molecular Liquids, 229, 2017. Crossref

  4. Samiulhaq , Ahmad Sohail, Vieru Dumitru, Khan Ilyas, Shafie Sharidan, Abbott Derek, Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature, PLoS ONE, 9, 5, 2014. Crossref

  5. Abro et al., Analytical solution of magnetohydrodynamics generalized Burger’s fluid embedded with porosity, International Journal of ADVANCED AND APPLIED SCIENCES, 4, 7, 2017. Crossref

  6. Siddique Imran, Tlili Iskander, Bukhari Syeda Mahwish, Mahsud Yasir, Heat transfer analysis in convective flows of fractional second grade fluids with Caputo–Fabrizio and Atangana–Baleanu derivative subject to Newtonion heating, Mechanics of Time-Dependent Materials, 25, 3, 2021. Crossref

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