Filtration of Liquid in a Non-isothermal Viscous Porous Medium

Axisymmetric viscous gravity currents flowing over a porous medium

MELISSA J. SPANNUTH †, JEROME A. NEUFELD , J. S. WETTLAUFER 1,3,4 AND M. GRAE WORSTER 2 Department of Geology and Geophysics, Yale University, New Haven, CT 06520, USA Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK Department of Physics, Yale University, New Haven, CT 06520, USA Nor...

Models for Non-Isothermal Compositional Gas-Liquid Flow and Transport in Porous Media

Transient Nonlinear Vibration of Randomly Excited Cylindrical Shallow Panels in Non Aging Viscous Medium

In this paper, the nonlinear transient vibration of a cylindrical shallow panel under lateral white noise excitation is studied. The panel is in contact with a non aging viscoelastic medium. Since the external load is a time varying random wide band process, deterministic and conventional approaches cannot be used. Instead, the evolution of the probability density function of the response is in...

A reduced degree of freedom method for simulating non-isothermal multi-phase ̄ow in a porous medium

Two solution algorithms, with guaranteed memory savings over fully implicit methods, are presented for solving coupled processes in subsurface hydrology. They are applied to problems of non-isothermal multi-phase ̄ow in porous media using both an equivalent continuum approximation and a dual-permeability approach. One algorithm uses an approximation of the Jacobian matrix during the Newton±Raph...

Optimal control of non-isothermal viscous fluid flow

Keywords: Optimal control Stokes–Oldroyd model Non-isothermal Viscous flow Four-to-one contraction Finite element method a b s t r a c t For flow inside a four-to-one contraction domain, we minimize the vortex that occurs in the corner region by controlling the heat flux along the corner boundary. The problem of matching a desired temperature along the outflow boundary is also considered. The e...