In case of no eutectic reaction, which typically is the case for alloys with a low initial concentration and which solidify according to the lever rule, it follows from the analytical exressions that the degree of inverse segregation is proportional to the nominal concentration.Einar Haug...
andnxis are the system dimensions. Assuming stoichiometric properties forδ′ (fixed precipitate concentrationcp = 25 at.%), the average equilibrium matrix concentration\({c}_{m}^{eq}\)for the initial time step can be calculated using the lever rule as ...
Now, the second derivative of $\arctan $ can be directly calculated by the Quotient Rule formula. The formula of the Quotient Rule is give as,$f'\left( x \right)=\dfrac{g'\left( x \right)h\left( x \right)-h'\left( x \right)g\left( x \right)}{{{\left| h\left( x ...
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