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Journal of Nonlinear Mathematical Physics Volume 9, 2002 - Issue sup2: Special Issue in Honour of PGL Leach on the Occasion of His 60th Birthday
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Original Articles

Group Invariant Solution and Conservation Law for a Free Laminar Two-Dimensional Jet

D P Mason Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa E-mail: [email protected]
Pages 92-101 | Received 01 May 2002, Published online: 21 Jan 2013

Citations (19)

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D P Mason & D L Hill. (2008) Group Invariant Solution for a Two-Dimensional Turbulent Free Jet described by Eddy Viscosity. Journal of Nonlinear Mathematical Physics 15:sup1, pages 134-148.
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Articles from other publishers (18)

Nazek Alessa. (2020) Transformation Magnetohydrodynamics in Presence of a Channel Filled with Porous Medium and Heat Transfer of Non-Newtonian Fluid by Using Lie Group Transformations. Journal of Function Spaces 2020, pages 1-6.
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A. J. Hutchinson. (2018) Application of a modified Prandtl mixing length model to the turbulent far wake with a variable mainstream flow. Physics of Fluids 30:9.
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A.B. Magan, D.P. Mason & F.M. Mahomed. (2017) Analytical solution in parametric form for the two-dimensional liquid jet of a power-law fluid. International Journal of Non-Linear Mechanics 93, pages 53-64.
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A.B. Magan, D.P. Mason & F.M. Mahomed. (2016) Analytical solution in parametric form for the two-dimensional free jet of a power-law fluid. International Journal of Non-Linear Mechanics 85, pages 94-108.
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A.J. Hutchinson & D.P. Mason. (2016) Lie symmetry methods applied to the turbulent wake of a symmetric self-propelled body. Applied Mathematical Modelling 40:4, pages 3062-3080.
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Nikolay A. Kudryashov & Mark B. Kochanov. (2015) General and approximate solutions of the boundary layer equation for radial flow of incompressible liquid. International Journal of Non-Linear Mechanics 77, pages 248-253.
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A.J. Hutchinson & D.P. Mason. (2015) Revised Prandtl mixing length model applied to the two-dimensional turbulent classical wake. International Journal of Non-Linear Mechanics 77, pages 162-171.
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A.J. Hutchinson, D.P. Mason & F.M. Mahomed. (2015) Solutions for the turbulent classical wake using Lie symmetry methods. Communications in Nonlinear Science and Numerical Simulation 23:1-3, pages 51-70.
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Nawel Khaldi, Salwa Marzouk, Hatem Mhiri & Philippe Bournot. (2014) CFD analysis of free shear layer approximations for a pulsed air jet. Tunnelling and Underground Space Technology 43, pages 49-58.
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Taha Aziz, A. Fatima, C. M. Khalique & F. M. Mahomed. (2013) Prandtl's Boundary Layer Equation for Two-Dimensional Flow: Exact Solutions via the Simplest Equation Method. Mathematical Problems in Engineering 2013, pages 1-5.
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Rehana Naz, Mohammad Danish Khan & Imran Naeem. (2012) Nonclassical Symmetry Analysis of Boundary Layer Equations. Journal of Applied Mathematics 2012, pages 1-7.
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Tooba Feroze & Ibrar Hussain. (2011) Noether symmetries and conserved quantities for spaces with a section of zero curvature. Journal of Geometry and Physics 61:3, pages 658-662.
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R. Naz. (2011) Group-Invariant Solutions for Two-Dimensional Free, Wall, and Liquid Jets Having Finite Fluid Velocity at Orifice. Mathematical Problems in Engineering 2011, pages 1-12.
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R. Naz, F.M. Mahomed & D.P. Mason. (2009) Conservation laws via the partial Lagrangian and group invariant solutions for radial and two-dimensional free jets. Nonlinear Analysis: Real World Applications 10:6, pages 3457-3465.
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R. Naz, D.P. Mason & F.M. Mahomed. (2009) Conservation laws and conserved quantities for laminar two-dimensional and radial jets. Nonlinear Analysis: Real World Applications 10:5, pages 2641-2651.
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Miccal T. Matthews & James M. Hill. (2007) Nano boundary layer equation with nonlinear Navier boundary condition. Journal of Mathematical Analysis and Applications 333:1, pages 381-400.
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G.H. Maluleke & D.P. Mason. (2007) Derivation of conservation laws for a nonlinear wave equation modelling melt migration using Lie point symmetry generators. Communications in Nonlinear Science and Numerical Simulation 12:4, pages 423-433.
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Yao Ruo-Xia & Li Zhi-Bin. (2004) Conservation laws and new exact solutions for the generalized seventh order KdV equation. Chaos, Solitons & Fractals 20:2, pages 259-266.
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