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Stability of Non-Linear Constitutive Formulations for Viscoelastic Fluids 2014 ed. [Pehme köide]

  • Formaat: Paperback / softback, 92 pages, kõrgus x laius: 235x155 mm, kaal: 1708 g, 11 Illustrations, black and white; X, 92 p. 11 illus., 1 Paperback / softback
  • Sari: SpringerBriefs in Thermal Engineering and Applied Science
  • Ilmumisaeg: 19-Dec-2013
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319024167
  • ISBN-13: 9783319024165
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  • Formaat: Paperback / softback, 92 pages, kõrgus x laius: 235x155 mm, kaal: 1708 g, 11 Illustrations, black and white; X, 92 p. 11 illus., 1 Paperback / softback
  • Sari: SpringerBriefs in Thermal Engineering and Applied Science
  • Ilmumisaeg: 19-Dec-2013
  • Kirjastus: Springer International Publishing AG
  • ISBN-10: 3319024167
  • ISBN-13: 9783319024165
Teised raamatud teemal:
Stability of Non-linear Constitutive Formulations for Viscoelastic Fluids provides a complete and up-to-date view of the field of constitutive equations for flowing viscoelastic fluids, in particular on their non-linear behavior, the stability of these constitutive equations that is their predictive power, and the impact of these constitutive equations on the dynamics of viscoelastic fluid flow in tubes. This book gives an overall view of the theories and attendant methodologies developed independently of thermodynamic considerations as well as those set within a thermodynamic framework to derive non-linear rheological constitutive equations for viscoelastic fluids. Developments in formulating Maxwell-like constitutive differential equations as well as single integral constitutive formulations are discussed in the light of Hadamard and dissipative type of instabilities.
1 Preamble
1(8)
1.1 Viscoelasticity
3(1)
1.2 Computational Approach to Solutions
4(5)
References
8(1)
2 Constitutive Formulations
9(80)
2.1 Non-local Constitutive Formulations
12(3)
2.2 Local Constitutive Formulations
15(1)
2.3 Different Approaches to Local Constitutive Formulations
16(14)
2.3.1 Linear Viscoelasticity
18(4)
2.3.2 Non-linear Viscoelasticity
22(8)
2.4 Constitutive Equation Formulations Based on Rational Continuum Mechanics
30(14)
2.4.1 Constant Stretch History Flows
31(2)
2.4.2 Simple Fluids
33(11)
2.5 Constitutive Equation Formulation Consistent with Thermodynamics
44(30)
2.5.1 Maximization of the Rate of Dissipation
49(7)
2.5.2 Burgers Equation
56(5)
2.5.3 Minimum Free Energy and Maximum Recoverable Work
61(7)
2.5.4 Implicit Constitutive Theories
68(6)
2.6 Maxwell-Like Differential Equations
74(2)
2.7 Single Integral Constitutive Equations
76(2)
2.8 Hadamard Instability
78(1)
2.9 Dissipative Instability
79(10)
References
81(8)
3 Epilogue
89(2)
Reference
89(2)
Appendix 91