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Abstract
This article studies the Poiseuille flow in a cylindrical channel of arbitrary section and finite length of a fluid with temperature dependent viscosity and internal dissipation. A theorem of existence of solution is proved and a special case is examined in detail.
Acknowledgment
The invariance of Equationequation (4.7) with respect to the Lie group Equation(4.9) and the corresponding change of variables Equation(4.10) has been found by Dr. J. Ockendon and Dr. S. Howison and brought to the attention of the author during his visit to Oxford Center for Industrial and Applied Mathematics, whose hospitality is hereby gratefully acknowledged.
Notes
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