On mhd flow of a viscous fluid past an infinite plate with time-dependent suction (I).
V.M. Soundalgekar (1970)
Publications de l'Institut Mathématique [Elektronische Ressource]
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V.M. Soundalgekar (1970)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Irene Daprà, Giambattista Scarpi (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We present an analytical solution of plane motion for a Bingham fluid initially at rest subjected to a suddenly applied constant pressure gradient. Using the Laplace transform we obtain expressions which allow a direct easy calculation of the velocity, of the plug thickness and of the rate of flow as function of time.
Ramamurthy, V., Rao, U.S. (1989)
International Journal of Mathematics and Mathematical Sciences
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Fernando Carapau, Adélia Sequeira (2008)
Banach Center Publications
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Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and...
R. Finn (1965)
Annales Polonici Mathematici
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S. Pejović (1965)
Matematički Vesnik
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Ashraf, Ehsan Ellahi, Mohyuddin, Muhammad R. (2005)
APPS. Applied Sciences
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C. Truesdell
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Pantokratoras, Asterios (2007)
Mathematical Problems in Engineering
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Marshall J. Leitman, Epifanio G. Virga (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We show that the smooth bounded channel flows of a viscoelastic fluid exhibit the following qualitative feature: Whenever the channel is sufficiently wide, any bounded velocity field satisfying the homogeneous equation of motion is such that if the flow stops at some time, then the flow is never unidirectional throughout the channel. We first demonstrate the qualitative property of the bounded channel flows. Then we show explicitly how a piecewise linear approximation of a relaxation...
Labropulu, F., Xu, X., Chinichian, M. (2003)
International Journal of Mathematics and Mathematical Sciences
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Marshall J. Leitman, Epifanio G. Virga (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
We show that the smooth bounded channel flows of a viscoelastic fluid exhibit the following qualitative feature: Whenever the channel is sufficiently wide, any bounded velocity field satisfying the homogeneous equation of motion is such that if the flow stops at some time, then the flow is never unidirectional throughout the channel. We first demonstrate the qualitative property of the bounded channel flows. Then we show explicitly how a piecewise linear approximation of a relaxation...