Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet

• Published in: Applied mathematics and mechanics Vol. 31; no. 11; pp. 1421 - 1428
• Main Authors: Bachok, N., Ishak, A., Pop, I.
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.11.2010; Department of Mathematics,Faculty of Science,Universiti Putra Malaysia,UPM Serdang 43400,Selangor,Malaysia%School of Mathematical Sciences,Faculty of Science and Technology,Universiti Kebangsaan Malaysia,UKM Bangi 43600,Selangor,Malaysia; Institute of Mathematical Sciences,Faculty of Science,University of Malaya,Kuala Lumpur 50603,Malaysia%Faculty of Mathematics,University of Cluj,Cluj R-3400,CP 253,Romania
• Subjects: Applications of Mathematics; Classical Mechanics; Computational fluid dynamics; Fluid- and Aerodynamics; Friction; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Similarity; Skin friction; Transformations; Unsteady; 三维边界层; 不稳定; 变换技术; 数值模拟技术; 相似性; 粘性流动; 非定常; dual solution; 34B15; shrinking sheet; 76D10; boundary layer; O357.4; unsteady; three-dimensional flow
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-010-1372-6

The unsteady viscous flow over a continuously permeable shrinking surface is studied. Similarity equations are obtained through the application of similar transformation techniques. Numerical techniques are used to solve the similarity equations for different values of the unsteadiness parameter, the mass suction parameter, the shrinking parameter and the Prandtl number on the velocity and temperature profiles as well as the skin friction coefficient and the Nusselt number. It is found that, different from an unsteady stretching sheet, dual solutions exist in a certain range of mass suction and unsteadiness parameters.