(R1894) Invariant Solution for Two-dimensional and Axisymmetric Jet of Power-Law Fluids
An invariant solution is derived using the Lie symmetry technique for steady laminar two-dimensional and axisymmetric boundary layer jet flow of incompressible power-law fluids with appropriate boundary conditions. Using symmetry, the nonlinear partial differential equation of the jet flow problem is transformed into a nonlinear ordinary differential equation. The resultant nonlinear ordinary differential equation with boundary conditions is converted to an initial value problem using the Lie symmetry technique. A numerical solution for the resulting initial value problem is derived using Fehlberg’s fourth-fifth order Runge-Kutta method through Maple software. The graphical representation of the characteristics of the velocity field for different physical parameters is also discussed.
Bhagat, Bhavixa and Timol, M. G.
(R1894) Invariant Solution for Two-dimensional and Axisymmetric Jet of Power-Law Fluids,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
2, Article 6.
Available at: https://digitalcommons.pvamu.edu/aam/vol17/iss2/6