Exact solutions for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2009,（2）
• 页码范围: 181-186
• 页数: 6页
• 语种: 英文
• DOI: 10.1007/s10409-008-0209-3

摘要

The exact solutions are obtained for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit. The fractional calculus in the constitutive relationship of a non-Newtonian fluid is introduced. We construct the solutions by means of Fourier transform and the discrete Laplace transform of the sequential derivatives and the double finite Fourier transform. The solutions for Newtonian fluid between two infinite parallel plates appear as limiting cases of our solutions.