Joint unidirectional motion of two viscous heat-conducting fluids in a tube

Описание

Перевод названия: О СОВМЕСТНОМ ОДНОНАПРАВЛЕННОМ ДВИЖЕНИИ ДВУХ ВЯЗКИХ ТЕПЛОПРОВОДНЫХ ЖИДКОСТЕЙ В ТРУБЕ

Тип публикации: статья из журнала

Год издания: 2010

Идентификатор DOI: 10.1007/s10808-010-0066-2

Ключевые слова: viscous heat-conducting fluid, interface, steady-state flow, A-priori estimates, Cylindrical tubes, Fourth order, Immiscible fluids, Invariant solutions, Joint motion, Parabolic Equations, Poiseuille flow, Radial coordinates, Steady state, Steady-state flows, Temperature perturbations, Unidirectional motion, Unsteady pressures, Velocity field, Equations of motion, Heat conduction, Nonlinear equations, Pressure gradient, Viscous flow, Fluids

Аннотация: This paper studies an invariant solution of the problem of joint motion of two heat-conducting viscous immiscible fluids which have a common interface in a cylindrical tube under an unsteady pressure gradient. The problem reduces to a coupled initial-boundary-value problem for parabolic equations. A priori estimates of velocity andПоказать полностьюtemperature perturbations are obtained. The steady state of the system is determined, and it is proved that if, in one of the fluids, the pressure gradient rapidly approaches zero, the perturbations of all quantities tend to zero. It is shown that if the pressure gradient has a nonzero limit, the solution reaches a steady state. In this case, the velocity field in the limit is the same as in conjugate Poiseuille flow, and the temperature is represented as a polynomial of the fourth order on the radial coordinate.

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Издание

Журнал: JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS

Выпуск журнала: Vol. 51, Is. 4

Номера страниц: 497-509

ISSN журнала: 00218944

Место издания: NEW YORK

Издатель: SPRINGER

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