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1

Kim, Tujin, and Daomin Cao. Equations of Motion for Incompressible Viscous Fluids. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78659-5.

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2

Lighthill, M. J. Waves in fluids. Cambridge University Press, 2001.

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3

Caviglia, Giacomo. Inhomogeneous waves in solids and fluids. World Scientific, 1992.

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4

Guinot, Vincent. Wave propagation in fluids: Models and numerical techniques. ISTE/Wiley, 2008.

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5

Drumheller, D. S. Introduction to wave propagation in nonlinear fluids and solids. Cambridge University Press, 1998.

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6

Guinot, Vincent. Wave propagation in fluids: Models and numerical techniques. 2nd ed. ISTE, 2010.

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7

Marcello, Anile Angelo, ed. Ray methods for nonlinear waves in fluids and plasmas. Longman Scientific and Technical, 1993.

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8

1947-, Galdi Giovanni P., and International Centre for Mechanical Sciences., eds. Stability and wave propagation in fluids and solids. Springer-Verlag, 1995.

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9

H, Linke, and Månsson Alf, eds. Controlled nanoscale motion. Springer, 2007.

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10

Cawlfield, David E. UTAB: Mathematical model for the uptake, transport, and accumulation of inorganic and organic chemicals by plants. Agricultural Experiment Station, Oregon State University, 1991.

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11

Deffenbaugh, D. M. Final report for the liquid motion in a rotating tank experiment (LME). National Aeronautics and Space Administration, Lewis Research Center, 1998.

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12

Cawlfield, D. E. Uptake, transport, and accumulation of chemicals by plants (UTAB 4.6): Program listing. Agricultural Experiment Station, Oregon State University, 1990.

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13

Boersma, L. Model for uptake of organic chemicals by plants. Agricultural Experiment Station, Oregon State University, 1990.

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14

American Society of Mechanical Engineers. Fluids Engineering Division. Summer Meeting. Turbulence control: Presented at the 1994 ASME Fluids Engineering Division Summer Meeting, Lake Tahoe, Nevada, June 19-23, 1994. American Society of Mechanical Engineers, 1994.

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15

E, Parekh D., American Society of Mechanical Engineers. Fluids Engineering Division., and American Society of Mechanical Engineers. Fluids Engineering Division. Meeting, eds. Turbulence control: Presented at the 1994 ASME Fluids Engineering Division summer meeting, Lake Tahoe, Nevada, June 19-23, 1994. American Society of Mechanical Engineers, 1994.

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16

Lindstrom, F. T. Uptake and transport of chemicals by plants (version 2.1). Agricultural Experiment Station, Oregon State University, 1988.

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17

Kelbert, Mark. Pulses and Other Wave Processes in Fluids: An Asymptotical Approach to Initial Problems. Springer Netherlands, 1996.

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18

Healey, J. Val. Simulating the helicopter-ship interface as an alternative to current methods of determining the safe operating envelopes. Naval Postgraduate School, 1986.

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19

Allen, Lawrence David, ed. Master math: Essential physics : master everything from motion, force, heat and work to energy, fluids, waves, optics and electricity. Course Technology PTR, 2013.

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20

Memphis), Research Conference on Fluids and Waves: Recent Trends in Applied Analysis (2006 University of. Fluids and waves: Recent trends in applied analysis : Research Conference, May 11-13, 2006, the Universtiy of Memphis, Memphis, TN. American Mathematical Society, 2007.

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21

Penn State Symposium in Plant Physiology (2nd 1987 Pennsylvania State University). Physiology of cell expansion during plant growth: Proceedings of the second annual Penn State Symposium in Plant Physiology (May 21-23, 1987), The Pennsylvania State University. American Society of Plant Physiologists, 1987.

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22

Kozlov, V. V. (Valeriĭ Viktorovich), Mamaev Ivan S, Sokolovskiy Mikhail A, and SpringerLink (Online service), eds. IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence: Proceedings of the IUTAM Symposium held in Moscow, 25-30 August, 2006. Springer Science + Business Media B.V, 2008.

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23

Kelʹbert, M. I͡A. Pulses and other waves processes in fluids: An asymptotical approach to initial problems. Kluwer Academic Publishers, 1996.

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24

Lindstrom, F. T. CTSPAC: Mathematical model for coupled transport of water, solutes, and heat in the soil-plant-atmosphere continuum. Agricultural Experiment Station, Oregon State University, 1990.

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25

Tulik, Mirela. Anatomiczne parametry przewodnictwa hydraulicznego drewna pni dębu szypułkowego (Quercus robur L.) a proces zamierania drzew: Anatomical parameters of hydraulic conductivity in pedunculate oak (Quercus robur L.) stema wood and the process of trees declining. Wydawnictwo SGGW, 2012.

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26

Cawlfield, David E. User's guide to CTSPAC: Mathematical model for coupled transport of water, solutes, and heat in the soil-plant-atmosphere continuum. Agricultural Experiment Station, Oregon State University, 1990.

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27

W, Miksad Richard, Akylas T. R, Herbert T, American Society of Mechanical Engineers. Winter Meeting, and American Society of Mechanical Engineers. Applied Mechanics Division., eds. Nonlinear wave interactions in fluids: Presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Boston, Massachusetts, December 13-18, 1987. American Society of Mechanical Engineers, 1987.

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28

Symposium, on Thermal Anemometry (1987 Cincinnati Ohio). Symposium on Thermal Anemometry: Presented at the 1987 ASME Applied Mechanics, Bioengineering, and Fluids Engineering Conference, Cincinnati, Ohio, June 14-17, 1987. American Society of Mechanical Engineers, 1987.

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29

United States. National Aeronautics and Space Administration., ed. Numerical studies of surface tensions: Final research report. University of Alabama in Huntsville, 1995.

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30

M, Samimy, ed. A gallery of fluid motion. Cambridge University Press, 2003.

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31

Deissler, Robert G. Turbulent fluid motion.: The phenomenon of fluid turbulence. National Aeronautics and Space Administration, 1991.

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32

Graham, Michael D. Microhydrodynamics, Brownian Motion, and Complex Fluids. Cambridge University Press, 2018.

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33

Graham, Michael D. Microhydrodynamics, Brownian Motion, and Complex Fluids. Cambridge University Press, 2018.

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34

Graham, Michael D. Microhydrodynamics, Brownian Motion and Complex Fluids. Cambridge University Press, 2018.

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35

Furst, Eric M., and Todd M. Squires. Particle motion. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199655205.003.0002.

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The movement of colloidal particles in simple and complex fluids and viscoelastic solids is central to the microrheology endeavor. All microrheology experiments measure the resistance of a probe particle forced to move within a material, whether that probe is forced externally or simply allowed to fluctuate thermally. This chapter lays a foundation of the fundamental mechanics of micrometer-dimension particles in fluids and soft solids. In an active microrheology experiment, a colloid of radius a is driven externally with a specifed force F (e.g.magnetic, optical, or gravitational), and moves
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36

Jones, Evan. Fluids in Motion Founded on Newton's 2nd Law. Strong & Assoc. Inc., 2022.

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37

Escudier, Marcel. Kinematic description of fluids in motion and approximations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0006.

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In this chapter some of the terminology and simplifications which enable us to begin to describe and analyse practical fluid-flow problems are introduced. The terms ‘fluid particle’ and ‘streamline’ are defined. The principle of conservation of mass applied to steady one-dimensional flow through a streamtube of varying cross-sectional area resulted in the continuity equation. This important equation relates mass flowrate ṁ, volumetric flowrate Q̇, average fluid velocity V̄, fluid density ρ‎, and cross-sectional area A: m = ρ‎ Q̇ = ρ‎AV̅ = constant. For a constant-density fluid this result sho
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38

Egbers, Christoph, and Gerd Pfister. Physics of Rotating Fluids. Springer Berlin / Heidelberg, 2010.

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39

(Editor), Christoph Egbers, and Gerd Pfister (Editor), eds. Physics of Rotating Fluids. Springer, 2000.

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40

Guinot, Vincent. Wave Propagation in Fluids: Models and Numerical Techniques. Wiley & Sons, Incorporated, John, 2010.

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41

Guinot, Vincent. Wave Propagation in Fluids: Models and Numerical Techniques. Wiley & Sons, Incorporated, John, 2012.

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42

Guinot, Vincent. Wave Propagation in Fluids: Models and Numerical Techniques. Wiley & Sons, Incorporated, John, 2013.

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43

Guinot, Vincent. Wave Propagation in Fluids: Models and Numerical Techniques. Wiley & Sons, Incorporated, John, 2010.

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44

Guinot, Vincent. Wave Propagation in Fluids: Models and Numerical Techniques. Wiley & Sons, Incorporated, John, 2010.

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45

Guinot, Vincent. Wave Propagation in Fluids: Models and Numerical Techniques. Wiley & Sons, Incorporated, John, 2012.

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46

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 spheric
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47

Treatise on the Mathematical Theory of the Motion of Fluids. Creative Media Partners, LLC, 2022.

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48

Guinot, Vincent. Waves Propagation in Fluids: Models and Numerical Techniques. Wiley & Sons, Incorporated, John, 2012.

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Cao, Daomin, and Tujin Kim. Equations of Motion for Incompressible Viscous Fluids: With Mixed Boundary Conditions. Springer International Publishing AG, 2022.

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50

Cao, Daomin, and Tujin Kim. Equations of Motion for Incompressible Viscous Fluids: With Mixed Boundary Conditions. Springer International Publishing AG, 2021.

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