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Higher order solution of Boundary layer formation as a result of impulsive start of motion
Author(s) -
Nagler Jacob
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201800124
Subject(s) - boundary layer , motion (physics) , constant (computer programming) , boundary value problem , shear stress , order (exchange) , mechanics , third order , mathematical analysis , value (mathematics) , classical mechanics , mathematics , physics , statistics , computer science , programming language , finance , economics , philosophy , theology
This essay deals with the expansion of the classical problem, known as the impulsive start of motion over a cylindrical body. It was found that the boundary layer (BL) velocity profiles are similar to the classical results of Goldstein & Rosenhead. Moreover, high order (fourth approximation) of the velocity was developed and no effect on the BL velocity profile solution was found, confirming Watson theory. On the other hand, for the third order approximation, the separation angle was found to be time dependent. Also, the maximum velocity value was found to increase with respect to the time constant increase. An opposite effect of the BL velocity occurs for the maximum shear stress value, such that it decreases over time. The recent findings are supported by Riley and Nam literature results.