scholarly journals Vertical alignment of stagnation points in pseudo-plane ideal flows

AIP Advances ◽  
2017 ◽  
Vol 7 (9) ◽  
pp. 095314 ◽  
Author(s):  
Che Sun
CICTP 2020 ◽  
2020 ◽  
Author(s):  
Yifei Zhao ◽  
Jun Wang ◽  
Shunchao Yin ◽  
Jiaqing He ◽  
Zhongyi Chen

2010 ◽  
Vol 41 (1) ◽  
pp. 725 ◽  
Author(s):  
Y. K. Jang ◽  
S. J. Lee ◽  
J. Y. Lee ◽  
Y. Li ◽  
J. H. Hwang ◽  
...  
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Author(s):  
Biswajit Basu ◽  
Calin I. Martin

AbstractWe are concerned here with an analysis of the nonlinear irrotational gravity water wave problem with a free surface over a water flow bounded below by a flat bed. We employ a new formulation involving an expression (called flow force) which contains pressure terms, thus having the potential to handle intricate surface dynamic boundary conditions. The proposed formulation neither requires the graph assumption of the free surface nor does require the absence of stagnation points. By way of this alternative approach we prove the existence of a local curve of solutions to the water wave problem with fixed flow force and more relaxed assumptions.


2021 ◽  
Vol 11 (14) ◽  
pp. 6511
Author(s):  
Alessandro Quintino ◽  
Marta Cianfrini ◽  
Ivano Petracci ◽  
Vincenzo Andrea Spena ◽  
Massimo Corcione

Buoyancy-induced convection from a pair of staggered heated vertical plates suspended in free air is studied numerically with the main scope to investigate the basic heat and momentum transfer features and to determine in what measure any independent variable affects the thermal performance of each plate and both plates. A computational code based on the SIMPLE-C algorithm for pressure-velocity coupling is used to solve the system of the governing conservation equations of mass, momentum and energy. Numerical simulations are carried out for different values of the Rayleigh number based on the plate length, as well as of the horizontal separation distance between the plates and their vertical alignment, which are both normalized by the plate length. It is observed that an optimal separation distance between the plates for the maximum heat transfer rate related to the Rayleigh number and the vertical alignment of the plates does exist. Based on the results obtained, suitable dimensionless heat transfer correlations are developed for each plate and for the entire system.


1976 ◽  
Vol 98 (2) ◽  
pp. 208-212 ◽  
Author(s):  
G. M. Harpole ◽  
I. Catton

The laminar boundary layer equations for free convection over bodies of arbitrary shape (i.e., a three-term series expansion) and with arbitrary surface heat flux or surface temperature are solved in local Cartesian coordinates. Both two-dimensional bodies (e.g., horizontal cylinders) and axisymmetric bodies (e.g., spheres) with finite radii of curvature at their stagnation points are considered. A Blasius series expansion is applied to convert from partial to ordinary differential equations. An additional transformation removes the surface shape dependence and the surface heat flux or surface temperature dependence of the equations. A second-order-correct, finite-difference method is used to solve the resulting equations. Tables of results for low Prandtl numbers are presented, from which local Nusselt numbers can be computed.


2009 ◽  
Vol 40 (1) ◽  
pp. 992
Author(s):  
Sebastian Gauza ◽  
Meizi Jiao ◽  
Shin-Tson Wu ◽  
Przemysław Kula ◽  
Roman Dabrowski ◽  
...  

1998 ◽  
Vol 73 (5) ◽  
pp. 659-661 ◽  
Author(s):  
O. G. Schmidt ◽  
S. Schieker ◽  
K. Eberl ◽  
O. Kienzle ◽  
F. Ernst
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