... solver based on the Roe–Pike method was modified for the two-phase flows to compute fully nonlinear wave interactions and to directly provide upwinding properties in the scheme. An entropy fix based on Harten–Heyman method was used with van Leer flux limiter for total variation diminishing. The three...

...F. D. Fischer; J. Svoboda The Principle of Maximum Dissipation Rate (PMD) can be exploited to derive homogeneous kinetic rate laws for the internal variables. A “normality structure” expressing the rates of the internal variables as normal to convex functions (entropy production rate, dissipation...

... to the phenomenon and extracting estimates of the expected end to end separation distance, the entropy and other statistical features of behavior. By means of the variational principle, the problem is recast into a form that admits a direct, noniterative analysis of conformations within the context of the self...

... of entropy generation due to fluid friction and heat transfer with respect to the considered parameters. Results show that the minimization of the rate of entropy generation depends on the porous layer thickness, its permeability, the inlet temperature difference between the two fluids, and the effective...

...Stephen E. Bechtel; Francis J. Rooney; M. Gregory Forest In this note we provide proofs of the following statements for a compressible Newtonian fluid: (i) internal energy being a convex function of entropy and specific volume is equivalent to nonnegativity of both specific heat at constant volume...

... variable q β with respect to the intrinsic time; f β = − ∂ ϕ ∕ ∂ q β is the thermodynamic generalized force conjugate to q β . In the endochronic theory, the entropy production inequality is enforced for each internal variable...

...M. Hafez; J. Housman For two-dimensional flows, the conservation of mass and the definition of vorticity comprise a generalized Cauchy-Riemann system for the velocity components assuming the vorticity is given. If the flow is compressible, the density is a function of the speed and the entropy...

... is derived from the entropy change associated with the deformation of constituent macromolecules and the strain energy change associated with the deformation of a representative orthotropic unit cell. The ability of this model to predict nonlinear, orthotropic elastic behavior is examined by comparing...

.... Ration. Mech. Anal. , 41 , pp. 319 – 332 . Green , A. E. , and Laws , N. , 1972 , “ On The Entropy Production Inequality ,” Arch. Ration. Mech. Anal. , 45 , pp. 47 – 53 . Suh , C. S. , and Burger , C. P. , 1998 , “ Effects of Thermomechanical Coupling and Relaxation Times...

... OF APPLIED MECHANICS . Manuscript received by the ASME Applied Mechanics Division, July 30, 1997; final revision, Aug. 5, 1997. Associate Technical Editor: L. T. Wheeler. 30 July 1997 05 Aug 1997 entropy deformation irreversible thermodynamics In this note we derive...