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rate were investigated. Experimental results are presented, including primary and higher order dendrite arm spacings λ1, λ2, λ3 and dendrite tip radius R of primary Ni3Sn2 phase. Comparisons between...=44.957v-0.277, which is consistent with the Bouchard-Kirkaldy model; for the tertiary dendrites, λ3=40.512v-0.274; for the dendrite tip radius, R=22.7v-0.36. The experimental results also show......
was investigated. It is indicated that the entire facet dendrite shapes are obtained by using regularized phase field model. Steady state tip velocity of dendrite drives to a fixed value when γ≤0.13.... dendrite; anisotropy; undercooling; tip velocity ......
on the downstream and perpendicular arms are intensified, and the perpendicular arm tilts to the upstream direction. With increasing the anisotropy value to 0.14, all of the dendrite arms tip velocities... investigated. Key words: phase field method; forced flow; strong anisotropy; faceted dendrite; steady state tip velocity 1 Introduction Dendrites are common shapes in the melt solidification......
, an approximately marginal stability criterion for a curved interface was obtained [20], and the expression of the dendrite tip radius R is (5) where (6a) ... assuming linear solidus and liquidus[1, 12-13, 22], Eq.(5) implies that both dendrite tip radius R and dendrite tip velocity V are dependent on the dendrite tip temperature Ti. M(V, Ti), the slope......
at higher growth rate. The tip radius interacts with primary dendrite spacing, and increases as primary spacing becoming larger in stable primary dendrite arm spacing. It is analyzed with LMK theory that the variation of dendrite tip concentration results in tip radius change, which leads to tip splitting. According to diffusion model, the relation of primary spacing and interface concentration......
with tip radius, and got primary dendrite spacing as follows: (2) where k is partition coefficient, D.... Solidification and casting of metals [M]. London: The Metals Society, 1979: 3-9. [9] KURZ W, FISHER D J. Dendrite growth at the limit of stability: Tip radius and spacing [J]. Acta Metall, 1981, 29......
radius, (°) Angles formed by the lines from the origin to a point on the tooth tip and the ending point of modification with respect to the centreline, (°) Angles formed by the starting and ending points... J. Cent. South Univ. (2019) 26: 2368-2378 DOI: https://doi.org/10.1007/s11771-019-4180-x Analysis and formulation of spur gear stresses with different tip modifications A. MAPER1, S. KARUPPANAN1, S......
difference method.The effects of initial crystal radius,the space step and the interface thickness on the dendrite growth were studied.Results indicate that the grain grows into an equiaxial dendrite during free flow and into a typical branched structure under forced flow.The radius of an initial crystal can affect the growth of side-branches but not the stability of the dendrite s tip when......
-Ivantsov solution under the fluid flow conditions in terms of tip radius and velocity of the dendrite growth. The proposed LBM-CA model does not only describe different types of dendrite formations...Numerical simulation for dendrite growth in directional solidification using LBM-CA (cellular automata) coupled methodWonjoo Lee1,Yuhyeong Jeong1,Jae-Wook Lee2,Howon Lee2,Seong-hoon Kang2,Young-Min......
of dendrite increases with anisotropy as expected, and the tip temperature and radius of dendrite decrease. As the anisotropy strength crosses the critical value(1/35), the steady-state tip velocity... velocity of dendrite increases with anisotropy as expected, but the tip temperature and radius of dendrite decrease. As the anisotropy strength crosses the critical value (1/35), the variation of interface......
