On the system of equations of the laminar boundary layer in the presence of injection of a non-Newtonian fluid

1992 ◽  
Vol 34 (1) ◽  
pp. 139-149
Author(s):  
V. V. Samokhin
AIChE Journal ◽  
1969 ◽  
Vol 15 (3) ◽  
pp. 327-333 ◽  
Author(s):  
V. G. Fox ◽  
L. E. Erickson ◽  
L. T. Fan

Author(s):  
John Venetis

In this paper, a further mathematical analysis of some previous results of the author’s ongoing investigation regarding Prandtl’s equations is accomplished. In particular, the objective of the present work is the performance of an approximate explicit solution to Prandtl’s system of equations for a laminar, isothermal, incompressible and steady boundary layer flow of a Newtonian fluid, over an infinite horizontal flat plate.


2012 ◽  
Vol 706 ◽  
pp. 597-606 ◽  
Author(s):  
Talal T. Al-Housseiny ◽  
Howard A. Stone

AbstractWe investigate laminar boundary-layer flows due to translating, stretching, incompressible sheets. Unlike the classical problem in the literature where the mechanics of the sheet are neglected, and kinematics are prescribed, the dynamics of both the fluid and the sheet are herein coupled. Two types of stretching sheets are considered: an elastic sheet that obeys linear elasticity and a sheet that deforms as a viscous Newtonian fluid. In both cases, we find self-similar solutions to the coupled fluid/sheet system. These self-similar solutions are only valid under limiting conditions.


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