A solid-fluid model with unilateral contact conditions.
Chichua, G. (1999)
Bulletin of TICMI
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Chichua, G. (1999)
Bulletin of TICMI
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Roman Cherniha, Joanna Stachowska-Piętka, Jacek Waniewski (2014)
International Journal of Applied Mathematics and Computer Science
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Sankar, D.S., Ismail, Ahmad Izani (2009)
Boundary Value Problems [electronic only]
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Waniewski, Jacek (2001)
Journal of Theoretical Medicine
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Sankar, D.S., Lee, Usik (2010)
Mathematical Problems in Engineering
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Pedro José Martínez Ferrer, Tore Flåtten, Svend Tollak Munkejord (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study a two-phase pipe flow model with relaxation terms in the momentum and energy equations, driving the model towards dynamic and thermal equilibrium. These equilibrium states are characterized by the velocities and temperatures being equal in each phase. For each of these relaxation processes, we consider the limits of zero and infinite relaxation times. By expanding on previously established results, we derive a formulation of the mixture sound velocity for the thermally relaxed...
Sai Manikiran Garimella, Mohan Anand, Kumbakonam R. Rajagopal (2022)
Applications of Mathematics
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A new model is proposed to mimic the response of a class of seemingly viscoplastic materials. Using the proposed model, the steady, fully developed flow of the fluid is studied in a cylindrical pipe. The semi-inverse approach is applied to obtain an analytical solution for the velocity profile. The model is used to fit the shear-stress data of several supposedly viscoplastic materials reported in the literature. A numerical procedure is developed to solve the governing ODE and the procedure...