Evolution of the joint motion of two viscous heat-conducting fluids in a plane layer under the action of an unsteady pressure gradient

Описание

Тип публикации: статья из журнала

Год издания: 2008

Идентификатор DOI: 10.1007/s10808-008-0077-4

Ключевые слова: viscous heat-conducting fluid, interface, steady-state flow, A-plane, A-priori estimates, Closed form, Conducting fluids, Invariant solutions, Joint motions, Laplace-transform, Steady states, Uni-directional motion, Unsteady pressures, Boundary layers, Equations of motion, Gradient methods, Heat conduction, Laplace transforms, Nonlinear equations, Thermal conductivity, Viscous flow, Pressure gradient

Аннотация: A study is made of an invariant solution of the equations of a, viscous heat-conducting fluid; which is treated as unidirectional motion of two such fluids in a plane layer with a common boundary under the action of an unsteady pressure gradient. A priori estimates of the velocity and temperature are obtained. The steady state is dПоказать полностьюetermined; and it is shown (under some conditions on the pressure gradient) that, at larger times, this state is the limiting one. For semiinfinite layers; a solution in closed form is obtained using the Laplace transform.

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Издание

Журнал: JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS

Выпуск журнала: Vol. 49, Is. 4

Номера страниц: 598-609

ISSN журнала: 00218944

Место издания: NEW YORK

Издатель: SPRINGER

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