Discussion of “Deducing a Drain Spacing Formula by Applying Dimensional Analysis and Self-Similarity Theory” by Vito Ferro

2017 ◽  
Vol 143 (6) ◽  
pp. 07017005
Author(s):  
Hasan G. Elmazoghi ◽  
Abdusselam Altunkaynak
Keyword(s):  
Dimensional Analysis ◽  
Similarity Theory ◽  
Self Similarity ◽  
Drain Spacing

scholarly journals Assessing, measuring and modelling erosion in calanchi areas: a review

2016 ◽  
Vol 47 (4) ◽  
pp. 181 ◽  
Author(s):  
Nathalie Almaru Caraballo-Arias ◽  
Vito Ferro
Keyword(s):  
Dimensional Analysis ◽  
Recent Literature ◽  
Similarity Theory ◽  
Rapid Development ◽  
The Self ◽  
Geometric Features ◽  
Self Similarity ◽  
Full Size ◽  
Space And Time ◽  
Geomorphic Processes

Calanchi are erosion landforms characterised by a heavily dissected terrain with steep, unvegetated slopes and channels with a dendritic pattern, which rapidly incise and extend headwards. Recent literature focusing on badland systems highlights their similarity with other larger fluvial landforms, stating that these behave as a full size laboratory, due to their rapid development in space and time and to the diversity of geomorphic processes involved. In this paper, a brief review of the most important results on badland research is firstly presented. Then, the morphometric similarity between calanchi and other erosion landforms is discussed. Finally, models quantitatively relating the volume of sediments eroded from calanchi landforms and a set of geometric features of their tributary areas, by exploiting the dimensional analysis and the self-similarity theory, are presented.

scholarly journals Dimensional analysis and stage-discharge relationship for weirs: a review

2017 ◽  
Vol 48 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Mohammad Bijankhan ◽  
Vito Ferro
Keyword(s):  
Dimensional Analysis ◽  
Review Paper ◽  
Hydraulic Structure ◽  
Drainage Network ◽  
Self Similarity ◽  
Weir Flow ◽  
Flow Motion ◽  
Approach Channel ◽  
Rating Curves ◽  
Flow Stage

Deducing the weir flow stage-discharge relationship is a classical hydraulic problem. In this regard Buckingham’s theorem of dimensional analysis can be used to find simple and accurate formulas to obtain the rating curves of different weir types. At first, in this review paper the rectangular weir that is a very common hydraulic structure is studied. It is indicated that the crest shape, approach channel width, obliquity (angle between the weir crest and the direction normal to the flow motion) and vertical inclination (pivot weir) are the key-parameters affecting the flow over the rectangular weirs. The flow over the triangular, labyrinth, parabolic, circular, elliptical, and W-weirs are also studied using dimensional analysis and incomplete self-similarity concept. For all mentioned weirs the stage-discharge relationships are presented and the application limits are discussed. The results of this paper can be used and implemented by the irrigation and drainage network designers to simplify the procedure of weir design.

USE OF DIMENSIONAL ANALYSIS FOR DETERMINING THE DYNAMIC COEFFICIENT OF THE CRANE SUPPORTING STRUCTURE CAUSED BY DRIVING OVER UNEVEN RAILS

2017 ◽  
Vol 184 (2) ◽  
pp. 165-174
Author(s):  
Marcin JASIŃSKI
Keyword(s):  
Qualitative Analysis ◽  
Dimensional Analysis ◽  
Dynamic Load ◽  
Similarity Theory ◽  
Theory Model ◽  
Dynamic Coefficient ◽  
Supporting Structure ◽  
Dynamic Coefficients ◽  
Applied Method ◽  
Current Standards

The paper presents a way of describing the vertical dynamic load of the crane supporting structure caused by driving over uneven surfaces with the use of a dimensional analysis and similarity theory model. The applied method allows to conduct an initial, theoretical and qualitative analysis and to designate dimensionless parameters affecting the studied process. The obtained values were compared with the dynamic coefficients calculated on the basis of current standards.

scholarly journals The self-similarity theory of high pressure torsion

2016 ◽  
Vol 7 ◽  
pp. 1267-1277 ◽  
Author(s):  
Yan Beygelzimer ◽  
Roman Kulagin ◽  
Laszlo S Toth ◽  
Yulia Ivanisenko
Keyword(s):  
High Pressure ◽  
Mathematical Description ◽  
High Pressure Torsion ◽  
Similarity Theory ◽  
Lateral Wall ◽  
Self Similarity ◽  
Rigid Plastic ◽  
Hardening Law ◽  
Proper Design ◽  
Von Mises

By analyzing the problem of high pressure torsion (HPT) in the rigid plastic formulation, we show that the power hardening law of plastically deformed materials leads to self-similarity of HPT, admitting a simple mathematical description of the process. The analysis shows that the main parameters of HPT are proportional to β q , with β being the angle of the anvil rotation. The meaning of the parameter q is: q = 0 for velocity and strain rate, q = 1 for shear strain and von Mises strain, q = n for stress, pressure and torque (n is the exponent of a power hardening law). We conclude that if the hardening law is a power law in a rotation interval β, self-similar regimes can emerge in HPT if the friction with the lateral wall of the die is not too high. In these intervals a simple mathematical description can be applied based on self-similarity. Outside these ranges, the plasticity problem still has to be solved for each value of β. The results obtained have important practical implications for the proper design and analysis of HPT experiments.

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