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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 5
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Original Articles

Conservation laws for laminar axisymmetric jet flows with weak swirl

Rehana Naz Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, PakistanCorrespondence[email protected]
Pages 1045-1052 | Received 28 Dec 2010, Accepted 14 Mar 2011, Published online: 22 Jun 2011

References

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  • Mason , DP and Ruscic , I . 2004 . Group invariant solution and conservation law for a steady laminar axisymmetric free jet . Quaest. Math. , 27 : 171 – 183 .
  • Goertler , H . 1954 . Decay of swirl in an axially symmetrical jet far from the orifice . Rev. Math. Hisp. Am. IV , 14 : 143 – 178 .
  • Naz , R , Mason , DP and Mahomed , FM . 2009 . Conservation laws and conserved quantities for laminar two-dimensional and radial jets . Nonlinear Anal: Real World Appl. , 10 : 2641 – 2651 .
  • Naz , R , Mahomed , FM and Mason , DP . 2009 . Conservation laws via the partial Lagrangian and group invariant solutions for radial and two-dimensional free jets . Nonlinear Anal. Real World Appl. , 10 : 3457 – 3465 .
  • Naeem , I and Naz , R . 2009 . Wall jet on a hemi-spherical shell: Conserved quantities and group invariant solution . Int. J. Non. Sci. , 7 : 149 – 158 .
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  • Naz , R , Naeem , I and Mahomed , FM . 2010 . Conservation laws and conserved quantities for laminar radial jets with swirl . Math. Comput. Appl. , 15 : 742 – 761 .
  • Steudel , H . 1962 . Uber die Zuordnung zwischen invarianzeigenschaften und Erhaltungssatzen . Z. Naturforsch. , 17 A : 129 – 132 .
  • Olver , PJ . 1993 . Applications of Lie Groups to Differential Equations , 435 – 458 . New York : Springer .
  • Anco , SC and Bluman , G . 2002 . Direct construction method for conservation laws of partial differential equations. Part I: Examples of conservation law classification . Euro. J. Appl. Math. , 13 : 545 – 566 .
  • Naz , R , Mahomed , FM and Mason , DP . 2008 . Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics . Appl. Math. Comput. , 205 : 212 – 230 .

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