A Generalized Thermodynamic Approach to Microrheological Modelling

R.J.J. Jongschaap

doi:10.1007/978-94-009-2125-2_3

A Generalized Thermodynamic Approach to Microrheological Modelling

R.J.J. Jongschaap

Physics of Complex Fluids

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

Abstract

A generalized thermodynamic theory is presented which may be applied to microrheological models. The purpose of this theory is to offer a simple framework for many types of modelling at various levels of description.

The essential elements of our approach are: a specification of the subsystem in which the reversible storage of energy takes place, the way of coupling of this subsystem to the environment and a proper definition of reversible and irreversible variables. The resulting set of equations, containing a stress tensor expression a microscopic evolution equation and a microscopic equation of state are expressed in a matrix form.

Some applications of the theory to well known microrheological models are discussed and directions for further developments are indicated.

Original language	English
Title of host publication	Integration of Theory and Applications in Applied Mechanics
Subtitle of host publication	Choice of papers presented at the First National Mechanics Congress, April 2–4, 1990, Rolduc, Kerkrade, The Netherlands
Editors	J.F. Dijksman, F.T.M. Nieuwstadt
Place of Publication	Dordrecht
Publisher	Kluwer Academic Publishers
Pages	25-36
Number of pages	12
ISBN (Electronic)	978-94-009-2125-2
ISBN (Print)	978-94-010-7456-8
DOIs	https://doi.org/10.1007/978-94-009-2125-2_3
Publication status	Published - 1990
Event	1st National Mechanics Congress 1990 - Rolduc, Kerkrade, Netherlands Duration: 2 Apr 1990 → 4 Apr 1990 Conference number: 1

Conference

Conference	1st National Mechanics Congress 1990
Country/Territory	Netherlands
City	Rolduc, Kerkrade
Period	2/04/90 → 4/04/90

Keywords

Hydrodynamic force
Rheological model
Free energy function
Thermodynamic force
Dumbbell model

Access to Document

10.1007/978-94-009-2125-2_3

A generalized thermodynamic approach to microrheological modelling
Jongschaap, R. J. J., 1991, In: Applied scientific research. 48, p. 117-128 12 p.
Research output: Contribution to journal › Article › Academic › peer-review

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Jongschaap, R. J. J. (1990). A Generalized Thermodynamic Approach to Microrheological Modelling. In J. F. Dijksman, & F. T. M. Nieuwstadt (Eds.), Integration of Theory and Applications in Applied Mechanics: Choice of papers presented at the First National Mechanics Congress, April 2–4, 1990, Rolduc, Kerkrade, The Netherlands (pp. 25-36). Kluwer Academic Publishers. https://doi.org/10.1007/978-94-009-2125-2_3

Jongschaap, R.J.J. / A Generalized Thermodynamic Approach to Microrheological Modelling. Integration of Theory and Applications in Applied Mechanics: Choice of papers presented at the First National Mechanics Congress, April 2–4, 1990, Rolduc, Kerkrade, The Netherlands. editor / J.F. Dijksman ; F.T.M. Nieuwstadt. Dordrecht : Kluwer Academic Publishers, 1990. pp. 25-36

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Jongschaap, RJJ 1990, A Generalized Thermodynamic Approach to Microrheological Modelling. in JF Dijksman & FTM Nieuwstadt (eds), Integration of Theory and Applications in Applied Mechanics: Choice of papers presented at the First National Mechanics Congress, April 2–4, 1990, Rolduc, Kerkrade, The Netherlands. Kluwer Academic Publishers, Dordrecht, pp. 25-36, 1st National Mechanics Congress 1990, Rolduc, Kerkrade, Netherlands, 2/04/90. https://doi.org/10.1007/978-94-009-2125-2_3

A Generalized Thermodynamic Approach to Microrheological Modelling. / Jongschaap, R.J.J.
Integration of Theory and Applications in Applied Mechanics: Choice of papers presented at the First National Mechanics Congress, April 2–4, 1990, Rolduc, Kerkrade, The Netherlands. ed. / J.F. Dijksman; F.T.M. Nieuwstadt. Dordrecht: Kluwer Academic Publishers, 1990. p. 25-36.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

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T1 - A Generalized Thermodynamic Approach to Microrheological Modelling

AU - Jongschaap, R.J.J.

N1 - Conference code: 1

PY - 1990

Y1 - 1990

N2 - A generalized thermodynamic theory is presented which may be applied to microrheological models. The purpose of this theory is to offer a simple framework for many types of modelling at various levels of description. The essential elements of our approach are: a specification of the subsystem in which the reversible storage of energy takes place, the way of coupling of this subsystem to the environment and a proper definition of reversible and irreversible variables. The resulting set of equations, containing a stress tensor expression a microscopic evolution equation and a microscopic equation of state are expressed in a matrix form. Some applications of the theory to well known microrheological models are discussed and directions for further developments are indicated.

AB - A generalized thermodynamic theory is presented which may be applied to microrheological models. The purpose of this theory is to offer a simple framework for many types of modelling at various levels of description. The essential elements of our approach are: a specification of the subsystem in which the reversible storage of energy takes place, the way of coupling of this subsystem to the environment and a proper definition of reversible and irreversible variables. The resulting set of equations, containing a stress tensor expression a microscopic evolution equation and a microscopic equation of state are expressed in a matrix form. Some applications of the theory to well known microrheological models are discussed and directions for further developments are indicated.

KW - Hydrodynamic force

KW - Rheological model

KW - Free energy function

KW - Thermodynamic force

KW - Dumbbell model

U2 - 10.1007/978-94-009-2125-2_3

DO - 10.1007/978-94-009-2125-2_3

M3 - Chapter

SN - 978-94-010-7456-8

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EP - 36

BT - Integration of Theory and Applications in Applied Mechanics

A2 - Dijksman, J.F.

A2 - Nieuwstadt, F.T.M.

PB - Kluwer Academic Publishers

CY - Dordrecht

T2 - 1st National Mechanics Congress 1990

Y2 - 2 April 1990 through 4 April 1990

ER -

Jongschaap RJJ. A Generalized Thermodynamic Approach to Microrheological Modelling. In Dijksman JF, Nieuwstadt FTM, editors, Integration of Theory and Applications in Applied Mechanics: Choice of papers presented at the First National Mechanics Congress, April 2–4, 1990, Rolduc, Kerkrade, The Netherlands. Dordrecht: Kluwer Academic Publishers. 1990. p. 25-36 doi: 10.1007/978-94-009-2125-2_3

A Generalized Thermodynamic Approach to Microrheological Modelling

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A generalized thermodynamic approach to microrheological modelling

Cite this