Corrigendum to “The stress in a dilute suspension of spheres suspended in a second-order fluid subject to a linear velocity field” [J. Non-Newton. Fluid Mech. 138 (2006) 87–97]
✍ Scribed by Donald L. Koch; G. Subramanian
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 76 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0377-0257
No coin nor oath required. For personal study only.
✦ Synopsis
The error occurred in rewriting the correct result for the particle contribution to the total suspension stress, in a linear flow field, in terms of the first and second normal stress coefficients « 0 1 and « 0 2 for the specific case of simple shear flow. In particular, Eq. ( 67) for the suspension stress with Eqs. ( 68) and ( 69), that define the constants X and Y appearing in (67), are correct. Together, these equations determine the suspension stress in a linear flow in terms of De and ε, parameters appearing in the retarded motion expansion. These three (correct) relations therefore constitute the main result of the paper.
An error, however, occurred in translating the above result for the stress in a general linear flow in terms of the first and second normal coefficients which offer a more convenient interpretation for the stress in a simple shear flow. The original equations for « P 1 and « P 2 , as