2, 3 Because of this effect, the surface layer of the liquid behaves like a stretched elastic membrane that allows the insects (e.g.
Surface tension ( σ sin N/m or kgf/m in meter-kilogram-second (MKS) unit system) 1 is resulted from the attraction effect between the molecules of the liquid due to various intermolecular forces.
Keywords: fluid mechanics, surface tension, specific weight, kinematic viscosity, water, temperature, nonlinear regression, statistical analysis Introduction The computational analysis yielded simple mathematical structures to be easily used for educational and practical purposes. The statistical results clearly corroborated that the proposed equations were accurate enough to be used in estimation of the present fluid mechanics-related parameters. Moreover, illustrative examples and relevant MATLAB ® scripts were presented to demonstrate the applicability of the present equations. The proposed formulations were developed using a total of 155 data points and compared against different equations from the literature. The estimations were proven to be satisfactory with very high determination coefficients above 0.999. The formulations were derived within the framework of the nonlinear regression analysis based on the Richardson’s extrapolation method and the Levenberg–Marquardt algorithm. Three simple empirical models were proposed to predict surface tension, specific weight, and kinematic viscosity of water as a function of temperature.
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