On the Transient Temperature Variation in Thin Plate due to Moving Point Heat Source (Report 2)

Temperature Curve

Abstract

Transient temperature rise is calculated by using the newly derived formula
n=eLR_∝F₀(δ)
which is reported in Reference (2). Temperature curves of many points near arc starting and stopping points are drawn and comparison between them and those of quasistationary state is described and discussed.
Fig. 1 and 2 show the calculated temperature curves of points which are illustrated in Fig. 3. The graphic way of drawing of these curves is shown in Fig. 19, 20
In these figures, the temperature rise as well as time elapsed are expressed in dimensionless quantities, temperature rise "n" is defined in equ. (1) and time elapsed vt=L is defined in equ. (3) and is illustrated in Fig. 4.
In Fig. I and 2, curves (1) show the temperature curves of quasistationary state of the given points and (2) show the half values of (1). Curve (2) is very convenient for the consideration of the transient temperature. Fig. 10 and 11 illustrate the general characteristics of the transient temperature curves compared with (1) and (2).
Fig. 5 and 6 show the maximum temperature, Fig. 7 shows the equithermal lines of maximum temperature and Fig. 18 shows it by experiment.