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On the Solution of a Hyperbolic One-Dimensional Free Boundary Problem for a Maxwell Fluid

2011
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Advances in Mathematical Physics
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We study a hyperbolic (telegrapher's equation) free boundary problem describing the pressure-driven channel flow of a Bingham-type fluid whose constitutive model was derived in the work of Fusi and Farina (2011). The free boundary is the surface that separates the inner core (where the velocity is uniform) from the external layer where the fluid behaves as an upper convected Maxwell fluid. We present a procedure to obtain an explicit representation formula for the solution. We then exploit such

doi:10.1155/2011/606757
fatcat:g7hdcqpwqzbsvgteaht4kpkeju