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Construction and analysis of mathematical models of hydrodynamic forces and moment on the ship's hull using multivariate regression analysis

Kryvyi O., Miyusov M. V.

TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

2021

Vol. 15 No. 4

854--864

To analyse the existing mathematical models of hydrodynamic forces and moment on the ship's hull and build new effective ones, an approach based on multivariate regression analysis is suggested. As factors (regressors), various dimensionless ratios of the geometric parameters of the vessel, such as length, breadth, draught, and block coefficient, were taken. When analysing existing mathematical models of hydrodynamic derivatives and building new ones, the value of the multiple correlation coefficient R and the value of standard errors were estimated. The significance of the models and the significance of all factors (regressors) included in the model were assessed using Fisher's and Student's criteria. As a result, new adequate mathematical models have been obtained for hydrodynamic constants with a high degree of correlation and an excellent level of significance of regressors.

Utocnenie gidrodinamiceskih harakteristik torcovogo drossela avtomaticeskogo razgruzocnogo ustrojstva rotora centrobeznogo nasosa

Zueva N.

Zeszyty Naukowe Politechniki Świętokrzyskiej. Nauki Techniczne

2008

Z. 10, Vol. 2

173-180

The results of research of hydrodynamic processes in face throttle which is the basic element of automatic discharging device of the axial balancing of centrifugal pumps rotors are present in work, mainly determining their capacity and reliability. Analytical expressions for determination of power and flow rate characteristic into account liquid inertia forces and local hydraulic losses are given, that allows to make more exact static and dynamic characteristics of device on the whole.