An approximate mathematical model for solidification of a flowing liquid in a microchannel

Predicting the type of aluminium metals and composition of elements present in the aluminium samples through Nondestructive testing (NDT) is a matter of very importance for aluminium Industry. The unique method to determine grade of the aluminium sample is required to characterize the aluminium metals. The Nondestructive Technique (NDT) and determination of characteristics and mechanical properties of aluminium metals are used to identify the grade of aluminium metals so that accordingly it can be used for the specific applications. Therefore a technique is required to predict the percentage of aluminium, Iron, Copper, Manganese of aluminium metals so as to categorize into different grades and applications. In Aluminium samples percentage of Aluminium plays very important role which may help to decide the grade of the aluminium metals hence its applications. The present work is focused on how the percentage of aluminium in aluminium samples can be calculated by adopting the mathematical modeling technique. Â Â There are various parameters which generally affect the percentage of aluminium in aluminium samples, and play a very major role. Therefore through this investigation an attempt is being made to formulate an approximate mathematical model which will certainly predict the percentage of aluminium in aluminium samples. In advent of this a dimensionless pie terms of various prominent parameters or variables have been taken to form a mathematical model. Some of these variables used to formulate this model are given as follows (i) physical properties of the aluminium samples like hardness, density, modulus of elasticity etc (ii) Signal analysis properties like Peak amplitude of Time signal, FFT, PSD and (iii) both the properties. The data of such types of variables have been recorded and calculated and thus the formulation of model is being done by multiple regression analysis. The model is then optimized and the reliability of the model has also been estimated. In fact this type of model will be helpful to estimate the aluminium percentage.

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An assessment of accuracy of approximate mathematical model of pulse electromagnetic field of current flowing near conductive body

2015 16th International Conference on Computational Problems of Electrical Engineering (CPEE) ◽

10.1109/cpee.2015.7333331 ◽

2015 ◽

Author(s):

Konstantin Dzjuba ◽

Iryna Mazurenko ◽

Yuriy Vasetsky

Keyword(s):

Mathematical Model ◽

Electromagnetic Field ◽

Pulse Electromagnetic Field ◽

Conductive Body ◽

Approximate Mathematical Model

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Sediment deposition in constructed wetland ponds with emergent vegetation: laboratory study and mathematical model

Water Science & Technology ◽

10.2166/wst.2005.0342 ◽

2005 ◽

Vol 51 (9) ◽

pp. 307-314 ◽

Cited By ~ 10

Author(s):

B.H. Schmid ◽

U. Stephan ◽

M.A. Hengl

Keyword(s):

Mathematical Model ◽

Velocity Field ◽

Constructed Wetland ◽

Laboratory Experiments ◽

Suspended Particles ◽

Emergent Vegetation ◽

Physical Treatment ◽

Deposition Rates ◽

Treatment Processes ◽

Approximate Mathematical Model

Retention of suspended particles by settling is among the main physical treatment processes in constructed wetland ponds. Laboratory experiments were conducted to study the transport and deposition of suspended particles in the slow, near-stagnant flows typical of constructed wetland ponds with emergent vegetation. The presence of stems was found to create a velocity field which is much more uniform than its counterpart without vegetation. This property was used to obtain an approximate mathematical model, for which an analytical solution could be given to describe sediment transport and deposition. The deposition rates predicted by this formula were compared to the data from the above-mentioned laboratory experiments and found to agree closely.

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An Approximate Model for the Static Operation of a Fluidic Amplifier Employing Axisymmetric Jets

Journal of Basic Engineering ◽

10.1115/1.3425181 ◽

1971 ◽

Vol 93 (1) ◽

pp. 47-54

Author(s):

R. T. Johnson

Keyword(s):

Mathematical Model ◽

Approximate Model ◽

Experimental Results ◽

Complex Flow ◽

Flow Problems ◽

Axisymmetric Jets ◽

Flow Phenomena ◽

Static Operation ◽

Approximate Mathematical Model ◽

Downstream Flow

An approximate mathematical model for the static, no-load (blocked receiver) operation of a fluidic amplifier employing axisymmetric jets is developed. The amplifier is similar in concept to the three-terminal modulator developed by the Johnson Service Co. The approach used in developing the model assumes that the complex flow phenomena can be represented by the combination of several elementary flow problems. The model employs the concept of an equivalent power nozzle in describing downstream flow with a control signal present. Experimental results are presented to justify assumptions and evaluate parameters.

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