By E.J. Davies

Deals a theoretical and useful remedy of either conduction and induction heating, comprising 4 elements: conduction concept, induction concept, warmth stream, and perform

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**Additional resources for Conduction and induction heating**

**Example text**

8, P. 5, P. 8 x 106) = 7 1220 (TT/4) (12/1000)2 A But E = pJ. e. 3 x 106) (*/4) (12/1000)2 (16) = 105 kW This simple example shows that both concepts lead to the same answers, with roughly the same amount of work. Note that the 106 factors frequently cancel. There would be some argument for working in Omm and using mm2 for sections, but here it is preferable to keep to SI and cancel powers of 10; in practice, one would work in millimetres. The example was chosen to show that DRH gives workable numbers if the workpiece is long and thin.

7 Depth of penetration This topic is discussed more fully in Reference 1. 1 S was defined for the semi-infinite slab, and in the present chapter it has been shown that the solutions simplify to the results of Chapter 2 for higher values of b/8. 5 tell a different story. 2 shows that per-unit J (and hence E) becomes more uniform as b/S gets smaller, and certainly has not reached 1/e times its surface value at depth 5. Similarly, per-unit B and H tend to straight lines (Fig. 5) and do not then obey the exponential law.

11 are the ones usually found in the textbooks, since most of the literature is concerned with the circuit properties of, say, bus-bars and not electroheating effects. 11 for electroheat23'5. 10 we have 2b/S + sin 2bjSi cosh 2b/S - cos 2b/8 32 Alternating currents in conductors but sinh x = JC/1! + x>/3! + x'ISl + ... 4 cosh x = 1 + x*/2! + * /4! + . . sin x m x/V. - x>iy. + JC 5 /^ - ... 4 cos x = 1 - x*/2! + * / 4 ! Hence 1 f s i n h x + sinx") _ x[x + Xs/5! + JC9/^ + . . 1 2 * | _ c o s h j t - c o s x J ~ 2 [^/2!