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Extra resources for Advanced Materials and Engineering Applications
In combination with MC simulations, the effects of anisotropic growth change the transition from JMA to non-JMA at t*, thus leading to a change of growth exponent which can be analytically described by Eq. (7) (see Fig. 1). Compatibility of the analytical model with approximations for “temperature integral”. For non-isothermal transformation with constant heating rate, to derive an analytical model, the term called the “temperature integral” has to be approximated. ∫ T 0 exp(− Q RT ′)dT ′ = RT 2 Q exp(− Q RT ) (8) For Q/RT>>1, Eq.
3. (4) 24 Advanced Materials and Engineering Applications Table 2 Equivalent heights and their functional coefficients (units of [mm]) r Eq. 06038 Fig. 3 Fitting cures of equivalent heights corresponding to functions in Table 2. 4 Modeling of contact angle Considering the flaw of Jurin formula, equivalent height function H(r) is introduced into contact angle model: 2σ cos θ = ρgh[h + H (r )] , r here parameters of H(r) corresponding to given material systems, Table 2. 25[mm] on the methods introduced above produced the measurements of liquid column heights, just as recorded in Table 3.
3 Modeling of equivalent heights Definition: equivalent height is defined as the liquid column height under the same tube corresponding to the partial liquid volume under moon surface. Following to the principle of equal volume, equivalent heights, see Table 2, can be determined by definite integral process to meniscus curves fitting from feature points. As it is shown bellow, equivalent heights present some specific order: equivalent heights appear positively correlation with tube radii under the same experiment conditions, which is the hypostasis for further procedure.