Unsteady flows of a class of novel generalizations of the Navier-Stokes fluid Academic Article

abstract

• In this short paper we study the counterpart, within the context of a general class of fluids, of two famous unsteady flows originally studied by Stokes, within the context of Navier-Stokes fluid, namely Stokes' first and second problems. The class of fluids considered, stress power-law fluids, are capable of stress thinning or stress thickening and can describe phenomena that the classical power-law fluids are incapable of modeling. Within the context of the problems considered, we are able to find solutions wherein stress boundary layers develop. 2013 Published by Elsevier Inc.

authors

• Rajagopal, Kumbakonam

published proceedings

• APPLIED MATHEMATICS AND COMPUTATION

author list (cited authors)

• Narayan, S., & Rajagopal, K. R.

citation count

• 11

complete list of authors

• Narayan, SP Atul||Rajagopal, KR

publication date

• June 2013

publisher

• Elsevier  Publisher

published in

• Applied Mathematics and Computation  Journal

keywords

• Boundary Layer
• Generalized Newtonian Fluids
• Stokes' First Problem
• Stokes' Second Problem
• Stress Power-law Fluids

Digital Object Identifier (DOI)

• 10.1016/j.amc.2013.03.049

start page

• 9935

end page

• 9946

volume

• 219

issue

• 19

URL

• http://dx.doi.org/10.1016/j.amc.2013.03.049