On the motion of a second grade fluid due to longitudinal and torsional oscillations of a cylinder: A numerical study

Journal Article · Mon Sep 15 00:00:00 EDT 2008 · Journal of Applied Mathematics and Computation

DOI:https://doi.org/10.1016/j.amc.2008.05.133· OSTI ID:938879

Massoudi, Mehrdad; Tran, P X

Unsteady problems involving the second grade fluids have received considerable attention in recent years. The present study is an attempt to look at the motion of an oscillating rod in a second grade fluid. Specifically, we solve numerically for the flow of a second grade fluid surrounding a solid cylindrical rod that is suddenly set into longitudinal and torsional motion. The equations are made dimensionless. The results are presented for the shear stresses at the wall, related to the drag force; these are physical quantities of interest, especially in oil-drilling applications.

• Research Organization: National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR
• Sponsoring Organization: USDOE - Office of Fossil Energy (FE)
• DOE Contract Number: None cited
• OSTI ID: 938879
• Report Number(s): DOE/NETL-IR-2008-284; NETL-TPR-2309; TRN: US200820%%361
• Journal Information: Journal of Applied Mathematics and Computation, Vol. 203, Issue 2; ISSN 0096-3003
• Publisher: Elsevier Inc.
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
FLUID FLOW
OSCILLATIONS
SHEAR
STRESSES
NUMERICAL SOLUTION
DRAG
WELL DRILLING
OIL WELLS