Another Approach to the Extended Stokes' Problems for the Oldroyd-B Fluid. (25th June 2012)

• Record Type: Journal Article
• Authors: Liu, Chi-Min
• Other Names: Dimakopoulos Y. Academic Editor.; Gong S. W. Academic Editor.; Prudhomme S. Academic Editor.; Yang X.-S. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2012(2012)
• Publication Date: 2012-06-25
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.5402/2012/274914
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : The extended Stokes problems, which study the flow suddenly driven by relatively moving half-planes, are reexamined for the Oldroyd-B fluid. This topic has been studied (Liu, 2011) by applying the series expansion to calculate the inverse Laplace transform. The derived solution was correct but tough to perform the calculation due to the series expansion of infinite terms. Herein another approach, the contour integration, is applied to calculate the inversion. Moreover, the Heaviside unit step function is included into the boundary condition to ensure the consistence between boundary and initial conditions. Mathematical methods used herein can be applied to other fluids for the extended Stokes' problems.