A thermodynamic basis for the derivation of the Darcy, Forchheimer and Brinkman models for flows through porous media and their generalizations Academic Article

abstract

• In this study we use a general thermodynamic framework which appeals to the criterion of maximal rate of entropy production to obtain popular models due to Darcy and Brinkman and their generalizations, to describe flow of fluids through porous solids. Such a thermodynamic approach has been used with great success to describe various classes of material response and here we demonstrate its use within the context of mixture theory to obtain the classical models for the flow of fluids through porous media and more general models which are all consistent with the second law of thermodynamics. 2013 Elsevier Ltd.

authors

• Rajagopal, Kumbakonam

published proceedings

• INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

author list (cited authors)

• Srinivasan, S., & Rajagopal, K. R.

citation count

• 38

complete list of authors

• Srinivasan, Shriram||Rajagopal, KR

publication date

• January 2014

publisher

• Elsevier  Publisher

published in

• International Journal of Non-Linear Mechanics  Journal

keywords

• Brinkman Equation
• Darcy Equation
• Forchheimer Model
• Maximization Of Entropy Production
• Second Law Of Thermodynamics

Digital Object Identifier (DOI)

• 10.1016/j.ijnonlinmec.2013.09.004

start page

• 162

end page

• 166

volume

• 58

URL

• http://dx.doi.org/10.1016/j.ijnonlinmec.2013.09.004