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This approximation leads to the original analytical model [5]. Recently, many approximations for “temperature integral”, which are more accurate than Eq. (8), have been proposed [8]. e. Eq. (4)) but a modified model parameter [9]. This modified analytical model considers not only a choice of nucleation and 44 Advanced Materials and Engineering Applications impingement mechanisms, but also a choice of approximations to the “temperature integral” according to the value of Q/RT (its value need not be much higher than unit), thus extended the analytical model’s application range and more precise than the original one (see Fig.
25[mm] on the methods introduced above produced the measurements of liquid column heights, just as recorded in Table 3. 9 Respective related errors of Jurin angles and ‘angles from Eq. 5’ comparing to real contact angles given by Eq. 3 can be illustrated on Fig. 4. 4 Related errors with capillary rise method (left) and decline method (right) It is clearly shown that formulas proposed in Table 2 with a much higher quality on accuracy than its of Jurin’s. 4 Conclusions Equivalent heights were found to positively correlate to tube radii by capillary rise experiments in this paper.
3) Eqs. (1), (3) is used to judge whether the element integral point has damaged. Damage variables of the element integral point are updated by Eqs. (2), (4)–if it has damaged. (4) Tangent constitutive tensor is updated. The values of stress and strain are calculated. (5) The analysis goes to next increment after the convergence criterion is reached by several equilibrium iterations. 4. 8 is the simulation result of axial tensile. The curve shows the prediction value is higher than the experiment value, which is major caused by the difference between the experiment failure mode and the simulation failure mode.