A new development and interpretation of the Navier-Stokes fluid which reveals why the "Stokes assumption" is inapt Academic Article

abstract

• In this short paper I present an alternate way of describing fluids in general, and the Navier-Stokes fluid in particular, from a phenomenological point of view, that shows clearly that the putative assumption conjectured by Stokes is not a reasonable assumption. I also show that the procedure presented here is more suited for incorporating constraints such as that of incompressibility, as well as having other advantages. The approach also helps to pinpoint several serious errors in the justifications that are provided in classical texts for the development of the Navier-Stokes model. Finally, from the point of view of the role that causality plays in Newtonian mechanics, the approach suggested is the preferable approach. 2013 Published by Elsevier Ltd.

authors

• Rajagopal, Kumbakonam

published proceedings

• INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

altmetric score

• 3

author list (cited authors)

• Rajagopal, K. R.

citation count

• 45

complete list of authors

• Rajagopal, KR

publication date

• April 2013

publisher

• Elsevier  Publisher

published in

• International Journal of Non-Linear Mechanics  Journal

keywords

• Dilatational Viscosity
• Implicit Constitutive Theories
• Navier-stokes Fluid
• Shear Viscosity
• Stokes Assumption

Digital Object Identifier (DOI)

• 10.1016/j.ijnonlinmec.2012.10.007

start page

• 141

end page

• 151

volume

• 50

URL

• http://dx.doi.org/10.1016/j.ijnonlinmec.2012.10.007