Dual Solutions in Unsteady Stagnation-Point Flow over a Shrinking Sheet

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2011,（8）
• 页码范围: 165-168
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/28/8/084702

摘要

An analysis is made to study the dual nature of solution of unsteady stagnation-point Sow due to a shrinking sheet.Using similarity transformations, the governing boundary layer equations are transformed into the self-similar nonlinear ordinary differential equations.The transformed equations are solved numerically using a very efficient shooting method.The study reveals the conditions of existence, uniqueness and non-existence of unsteady similarity solution.The dual solutions for velocity distribution exist for certain values of velocity ratio parameter (c/a), and the increment in the unsteadiness parameter A increases the range of cla where solution exists.Also,with increasing A, the skin friction coefficient increases for the first solution and decreases for the second.