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Dergiler / Mathematical and Computational Applications / 2010 / Cilt: 15 - Sayı: 4

Symmetry reductions of a flow with power law fluid contaminant-modified viscosity

R. J. MOİTSHEKİ
S. ABELMAN
T. HAYAT
Sayfa
685–696
DOI
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In some cases we resort to numerical methods to obtain approximate solutions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study symmetry analysis is carried out for a system dealing with nonreactive pollutant transport along a single channel.
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Temel Bulgular & Veri:Constitutive equations obeying a power law fluid are used in the description of the mathematical problem.
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Sonuç & Katkı:In some cases we resort to numerical methods to obtain approximate solutions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this study symmetry analysis is carried out for a system dealing with nonreactive pollutant transport along a single channel. Constitutive equations obeying a power law fluid are used in the description of the mathematical problem. We obtain forms of the source term for which the governing system admits extra point symmetries. Invariant solutions which satisfy physical boundary conditions are constructed. In some cases we resort to numerical methods to obtain approximate solutions.

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Bu Makaleye Atıf Yap

MOİTSHEKİ, R. J., ABELMAN, S., HAYAT, T. (2010). Symmetry reductions of a flow with power law fluid contaminant-modified viscosity. Mathematical and Computational Applications, Cilt: 15 - Sayı: 4, 685–696. https://ajindex.com/articles/280015

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Kaynakça (10)

  1. H.A. Basha and F.S. El-Habel, Analytical solution of the one-dimensional timedependent transport equation, Water Resour. Res. 29, 3209-3214, 1993
  2. M. Munafo, G. Cecchi, F. Baiocco and L. Mancini, River pollution from non point sources: a new simplified method of assessment, J. Environ. Manage. 77, 93-98, 2005
  3. P. Shulka, Analytical solutions for steady transport di spersion of nonconservative pollutant with time-dependent periodic waste discharge concentration, J. Hydraul. Eng., 129(9), 866-869, 2002
  4. C. Zheng and G.D. Bennett, Applied contaminant transport modelling: theory and practice, Van Nostrand Rienhold, 1995 [5] O.D. Makinde, R.J. Moitsheki and B.A. Tau, Similarity reductions of equations for river pollution, Appl. Math. Compt., 188, 1267-1273, 2007
  5. R.J. Moitsheki and O.D. Makinde, Symmetry reductions and solutions for pollutant diffusion in a cylindrical system, Non. Anal. Real World Appl., 10(6), 3420-3427, 2009
  6. R.J. Moitsheki, Lie group analysis of a flow with contaminant-modified viscosity, J. Appl. Math., 2007, Article ID 38278, 10pp
  7. G.W. Bluman and S. Kumei, Symmetries and Differential Equations, Springer- Verlag, New York, 1989
  8. A.D. Polyanin and V.F. Zaitsev, Exact solutions for ordinary differential equations, CRC Press, New York, 1995
  9. C. Wafo Soh and F. M. Mahomed, Noether symmetries of y′′ = f(x)yn with applications to non-static spherically symmetric perfect fluid solutions, Class. Quant. Grav., 16, 3553-3566, 1999
  10. M. Abramowitz and I.A. Stegun, Handbook of Mathematical functions, Dover, New York, 1972.