Herring s scaling law

The values of m given above conform to Herring s scaling law (1950) which states that since the driving force for sintering, the transport length, the area over which transport occurs and the volume of matter to be transported are proportional to a 1, a, cr and a3 respectively, the times for equivalent change in two powder samples of initial particle size fl o and a2,o are... 

Table 5.3 Exponents for Herring s scaling laws described by Eq. (5.128)...

This equation indicates that the densification rate at a given density is dependent inversely on the cube of the grain size, which is in agreement with the prediction by the Herring s scaling law. 

Particle size is an important element in the performance of an HTCC system. Fine particle size enhances densification although submicron particles are often difficult to disperse effectively. A basic description of the effect of particle size on the sintering of particles is captured in Herring s scaling law that describes an exponential dependence of sintering time on particle diameter [21] ... 

The exponent a in the scaling law can also be deduced from the sintering equations in Table 4.2 without following Herring s derivation. The sintering... 

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