Group invariant solution for a free jet on a hemi-spherical shell |
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Authors: | R Naz |
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Institution: | Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan |
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Abstract: | When two circular jets impinge upon each other along the axis of a hemi-spherical shell then a free jet on a hemi-spherical shell is formed. The governing equations are Prandtl’s momentum boundary layer equation and the continuity equation. The conserved quantity is required for the free jet on a hemi-spherical shell. The conserved quantity for the free jet on a hemi-spherical shell is established with the help of a conserved vector. The group invariant solution for the third-order partial differential equation for the stream function is constructed. |
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Keywords: | Free jet Hemi-spherical shell Conserved quantity Group invariant solution |
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