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1

Esmele, Myles. A model for deformation of continuous fiber composites under isothermal creep and thermal cycling conditions. Monterey, Calif: Naval Postgraduate School, 1997.

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2

Savolainen, Pekka. Modeling of non-isothermal vapor membrane separation with thermodynamic models and generalized mass transfer equations. Lappeenranta, Finland: Lappeenranta University of Technology, 2002.

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3

IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids (1993 Kerkrade, Netherlands). IUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids: Proceedings of an IUTAM symposium held in Kerkrade, the Netherlands, 1-3 November 1993. Dordrecht: Kluwer Academic Publishers, 1995.

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4

R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Analytic solution for a non-axisymmetric isothermal dendrite. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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5

Carroni, Richard. Investigation and validation of a cubic turbulence model in isothermal and conducting flows. 1999.

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6

Numerical Modeling of Isothermal Groundwater and Geothermal Systems. Taylor & Francis Ltd, 2007.

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7

F, Kelton K., and United States. National Aeronautics and Space Administration., eds. Computer modeling of non-isothermal crystallization. 2nd ed. [Amsterdam: North-Holland, 1996.

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8

R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Shape parameter for a non-axisymmetric isothermal dendrite. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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9

R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Shape parameter for a non-axisymmetric isothermal dendrite. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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10

R, Coriell S., Sekerka R. F, and National Institute of Standards and Technology (U.S.), eds. Shape parameter for a non-axisymmetric isothermal dendrite. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, National Institute of Standards and Technology, 1999.

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11

A Model for Deformation of Continuous Fiber Composites under Isothermal Creep and Thermal Cycling Conditions. Storming Media, 1997.

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12

Lin, Angela A. Two dimensional numerical simulation of a non-isothermal GaAs MESFET. 1992.

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13

Isothermal fatigue behavior of a [90] □Sic/Ti-15-3 composite at 426 C□. [Washington, D.C.]: NASA, 1991.

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14

United States. National Aeronautics and Space Administration., ed. Isothermal fatigue behavior of a [90] Sic/Ti-15-3 composite at 426 C. [Washington, D.C.]: NASA, 1991.

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15

Allen, Michael P., and Dominic J. Tildesley. Statistical mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198803195.003.0002.

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This chapter contains the essential statistical mechanics required to understand the inner workings of, and interpretation of results from, computer simulations. The microcanonical, canonical, isothermal–isobaric, semigrand and grand canonical ensembles are defined. Thermodynamic, structural, and dynamical properties of simple and complex liquids are related to appropriate functions of molecular positions and velocities. A number of important thermodynamic properties are defined in terms of fluctuations in these ensembles. The effect of the inclusion of hard constraints in the underlying potential model on the calculated properties is considered, and the addition of long-range and quantum corrections to classical simulations is presented. The extension of statistical mechanics to describe inhomogeneous systems such as the planar gas–liquid interface, fluid membranes, and liquid crystals, and its application in the simulation of these systems, are discussed.
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16

Deruelle, Nathalie, and Jean-Philippe Uzan. Self-gravitating fluids. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0015.

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This chapter briefly describes ‘perfect fluids’. These are characterized by their mass density ρ‎(t, xⁱ), pressure p(t, ⁱ), and velocity field v(t, ⁱ). The motion and equilibrium configurations of these fluids are determined by the equation of state, for example, p = p(ρ‎) for a barotropic fluid, and by the gravitational potential U(t, ⁱ) created at a point ⁱ by other fluid elements. The chapter shows that, given an equation of state, the equations of the problem to be solved are the continuity equation, the Euler equation, and the Poisson equation. It then considers static models with spherical symmetry, as well as polytropes and the Lane–Emden equation. Finally, the chapter studies the isothermal sphere and Maclaurin spheroids.
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