Journal ArticleDOI
Similarity solution for viscous and thermal gas flow in a cone
N. Liron,H. E. Wilhelm +1 more
TLDR
In this paper, the nonlinear, partial differential equations describing the compressible flow of a viscous and heat conducting gas in a cone are reduced to two coupled, ordinary, nonlinear differential equations by means of a self-similar transformation.Abstract:
The nonlinear, partial differential equations describing the compressible flow of a viscous and heat conducting gas in a cone are reduced to two coupled, ordinary, nonlinear differential equations by means of a self‐similar transformation. These are solved numerically for the velocity and temperature distributions in the cone. It is shown that for given flow numbers R, P, and M, laminar flows exist only up to a critical cone angle ϑ0.read more
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Wavefunction, energy spectrum and uncertainty relation for a particle contained between moving potential walls
TL;DR: In this paper, the Schrodinger equation of a particle contained between moving potential walls at x =+or-s(t), which are set in motion according to an arbitrary (non-relativistic) translation s=s (t) at time t = 0.
References
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Journal ArticleDOI
Nonlinear self‐similar boundary‐value problem for a divergent plasma flow
TL;DR: In this paper, a similarity transformation is given, which reduces the partial, nonlinear differential equations describing a compressible, polytropic plasma flow across an azimuthal magnetic field in a duct with plane inclined walls to an ordinary non-linear differential equation of second order.
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