Dimensionless Parameterin Mining

One of the main challenges facing selective laser melting processes is finding suitable process parameters to achieve maximum density (pore-free) parts. In this letter, two newly discovered dimensionless numbers are presented that correlate process parameters to a part's density allowing for an initial estimation of suitable process parameters without the need …

Physics and Physical Chemistry. Josef Kuneš, in Dimensionless Physical Quantities in Science and Engineering, 2012. 2.1 Physics, Mathematics and Geometry. In physics, dimensionless physical quantities and constants have been widely used, in thermodynamics, optics, radiation and other spheres of physics, especially in applications in various natural …

By matching dimensionless groups, we can match the observed behavior of fluid flows for a model system with the flow expected for a full-sized system. Dimensionless groups can be obtained …

Now the dimensionless groups can be constructed by looking at the remaining physical parameters, (Delta P), (D) and (mu). The pressure difference, (Delta P), has …

While K St is often used to characterize the reactivity of an individual dust, a measure is also needed to describe the reactivity of a specific test at the conditions it was performed. For example, large-scale dust explosion tests are used to develop engineering guidelines and protection requirements for enclosures and also to evaluate the performance of …

As outlined above, there is no simple parameter to define proper thermal condition for PBF 3D . As a practical guideline, the linear energy density defined as E L = P / V (where P is the laser power and V is the scan speed) can be used to approximately describe the thermal conditions because it measures the energy input per unit scan path [27], [28], [29].

A set of dimensionless parameters was introduced for DEM analyses where the mass damping ratio and the dimensionless strain rate are inversely proportional to the critical …

Dimensionless parameters for ceramic/metal bicomponent impact. The first dimensionless parameter is a ratio of the target mass to the projectile mass, given as (1) Π 1 = A d A p m p where A d is the areal density of the target plate (mass per unit area), A p is the projectile presented area, and m p is the mass of the projectile.

This study proposes a dimensionless parameter method for the evaluation of three decentralized systems in buildings with stable and seasonal daily non-potable water demands: rainwater harvesting systems (RWHs), graywater recycling systems (GWRs), and hybrid rainwater-graywater systems (HRGs). ... Elsevier B.V., its licensors, and contributors ...

Optical traps are routinely used for the manipulation of neutral particles. However, optical trap design is limited by the lack of an accurate theory. The generalized Lorenz-Mie theory (GLMT) solves the scattering problem for arbitrary particle size and predicts radial forces accurately. Here we show that the GLMT predicts the observed radial and axial forces in a variety of optical …

T1 - Dimensionless parameters for the design of optical traps and laser guidance systems. AU - Nahmias, Yaakov K. AU - Gao, Bruce Zhi. AU - Odde, David J. PY - 2004/7/10. Y1 - 2004/7/10. N2 - Optical traps are routinely used for the manipulation of neutral particles. However, optical trap design is limited by the lack of an accurate theory.

Similarity and Dimensional Analysis. Susan G. Sterrett, in Philosophy of Technology and Engineering Sciences, 2009 3 Dimensionless Quantities. For some quantities Q, all the dimensional exponents in the expression dim Q = [Q 1] m [Q 2] n [Q 3] o [Q 4] p [Q 5] r [Q 6] s [Q 7] t will equal zero. Then dim Q = 1, and Q is said to be dimensionless, or of dimension one. …

Buckingham π theorem (also known as Pi theorem) is used to determine the number of dimensional groups required to describe a phenomena. According to this theorem "the number of dimensionless groups to define a problem equals the total number of variables, n, (like density, viscosity, etc.) minus the fundamental dimensions, p, (like length, time, etc.)."

Acoustic Emission (AE) is a non-destructive evaluation method that uses transient elastic waves produced by the sudden release of mechanical energy in a material or structure. This method generates multiple AE events …

It relates to a data mining system (1) using dimensionless numbers. Such a data mining system 1 comprises: a unit converter 3 for converting a physical quantity into a dimensionless number to set a parameter (Mother number); An embroidery generator 5 for setting analysis data by generating a child number by converting a parameter set by the unit converter 3 according to a certain …

There are great benefits of dimensionless variable (eng. dimensionless numbers), why they are mostly used in engineering and physics. They are independent of scale (at least …

The intrinsic difference is that a dimensionless parameter is invariant if we change our units, whereas other parameters do depend on the units. The former arises when we can specify the property in question in terms of the other measurements made from within the system.

The cavity expansion strength term σ s is the quasi-static radial stress required for a cylindrical cavity to open up in the target plate, and K is a constant related to the projectile parameters. In light of this success, Ryan et al. [7, 8] conducted a large scale scaling law evaluation using a ballistic testing database and showed good results for the scaling presented.

Turbine performance changes are caused by a combination of blade hydrodynamics and strut losses, both of which are affected differently by each dimensionless parameter. These results suggest that each dimensionless parameter describes different fluid dynamics and that all four parameters should be considered during experimental design.

Accurate predictions of flow patterns in liquid-liquid flow are critical to the successful design and operation of industrial and geo-energy systems where two liquids are jointly transported. Unfortunately, there is no unified flow pattern map, because all published maps are based on limited ranges of dimensional parameters. Dimensional analysis was performed on …

The dimensionless groups in equation (7) indicate that the response is regulated by the governing dimensionless groups and not by the individual parameters. Hence, regression model using Π terms in equation (7) may be more attractive than the predictive equations engaging unit sensitive basic parameters, and is attempted next.

Water scarcity has been increasing worldwide owing to the rapid rise in population and global warming. According to predictions from the World Water Assessment Programme World Water Assessment Programme (UN WWAP) 2020, 47% of the global population will experience water scarcity by 2030.The collection of rainwater and graywater in buildings for on …

For the purpose of generality, these parameters are represented in dimensionless groups. Numerous interesting dimensionless groups have been defined as a result of dimensional analysis of fluid mechanical problems. The most important of these is the Reynolds number (Re) defined as the ratio of inertial forces to viscous forces. Reynolds ...

Dimensionless analysis arises as an appropriate methodology to study battery cells behavior since it brings the opportunity to identify limiting mechanisms in the battery cell performance by analysing a reduced number of dimensionless parameters. These parameters are obtained by condensating the physical dimensional parameters involved in the ...

sbm dimensionless parameterin miningThree Dimensional Spatial Objects Oracle (That is,the third dimension,or height,is ignored.) However,for the following operators and …

lated to the use of dimensionless parameters. The authors referred to in the bibliography, Yeh (2), Singh (3), Hunt (4), Ahmed and Sunada (5), and Esmaili and Scott (6), have all integrated different parameters to form dimensionless terms in order to solve complex equations en­ countered in various hydraulics problems. In their studies

Dimensionless learning can reduce complex, highly multivariate problem spaces into descriptions involving only a few dimensionless parameters with clear physical meanings.

New dimensionless parameters were defined working on the original expressions for v(r)/~; they are shown in Table 3 together with the relationships for the dimensionless velocity. Results From the practical point of view it is useful to take into account some limiting cases for each model: The Ostwald de Waele model for s = 1 represents a ...

Concurrent with the development of the theory was its usage for optimization of VAWTs. An aerodynamic optimization method for straight bladed Darrieus VAWTs based on the streamtube theories was proposed in 1983 [7].DMST was used to develop a mathematical optimization model to enhance the power coefficient of vertical axis turbine for tidal current …

show periodic "mining" which can be avoided if pumpage rates are modified. The wells in Kansas are located very far from other pumping locations thus rendering the recharge area excessivly large. Regression analysis was per­ formed encompassing recharge periods of one month, six months, and twelve months.