Centerline temperature

The definition of the heat-transfer coefficient is arbitrary, depending on whether bulk-fluid temperature, centerline temperature, or some other reference temperature is used for ti or t-. Equation (5-24) is an expression of Newtons law of cooling and incorporates all the complexities involved in the solution of Eq. (5-23). The temperature gradients in both the fluid and the adjacent solid at the fluid-solid interface may also be related to the heat-transfer coefficient ... 

The centerline temperature differential within the zone of fully established turbulent flow (Zone 3) of a nonisothermal jet can be derived using equations of momentum (Eq. (7.39)) and excessive heat conservation along the jet <. S... 

The equation for the centerline temperature differential in Zone 3 of the compact jet derived" from Eq. (7.61) using the Gauss error-function temperature profile (Table 7.14) is... 

Derivation of the equation for the centerline temperature differential in a linear jet is based on the same principles that are used in the case of a compact jet. For the linear diffuser jet, centerline temperature differentia can be computed from the following equation ... 

The centerline temperature differential in Zone 3 of the diffuser jet is proportional to the value of the K, coefficient, which, along with the fC, coefficient, depends upon jet and diffuser types and supply conditions. The theoretical value of the K2 coefficient, according to Shepelev, is 2.49. Experimental data reported by Grimitlyn show Ki to be 2.0. 

Equations for the centerline temperature differential in radial and in conical jets (Fig. 7.21) is derived in the same way as for compact and linear jets" and is similar to Eq. (7.70) ... 

TABLE 7.15 Centerline Temperature Differential in Horizontal Jets... 

The equations have been formulated and solved numerically. Temperature profiles throughout the system as a function of time are shown in Figure 6. seen that centerline temperature... 

Perhaps a more severe comparison of model response is the time history of the centerline temperature. These values reflect the interaction of several phenomena the reaction itself, the heat liberated by the reaction, the heat storage capacity of the material, and the rate at which heat can be carried away from the centerline region by conduction. Figure 8 shows the temperatures predicted by the Chiao and finite element models, as well as the imposed autoclave temperature history. It also includes five thermocouple readings which were reported in Chiao s manuscript (8). 

Centerline temperature profiles at various times during flame propagation and extinction in a channel with D = 4mm. Temperature profiles correspond to flame positions in Figure 6.1.12. 

Figure 20.6 Centerline temperature vs. axial distance high forcing - pulser off for configuration 1 (Tw represents the corresponding centerline temperature for the unforced case). 1 — No swirl 2 — low swirl and 3 — high swirl...

Fluid flowing in the duct of problem 2, with a spacing of 2h, where h = 0.1 m, has a wall temperature of 25° C. Assume that the flow is laminar, and find the centerline temperature at fluid velocities of 1,5, and 20 m/s under the following conditions ... 

Figure 8.35 Cure time versus plate thickness for various mold temperatures. Shaded area indicates the conditions that lead to centerline temperatures above 200° C [1].

Problem Calculate the rate of heat generation per unit volume in a rod that will produce a centerline temperature of 1000°C for the following values of the parameters ... 

Now it is being assumed that the flow is fully developed, i.e., that if Tc is the centerline temperature ... 

If a centerline temperature is desired, only one chart is required to obtain a value for 0O and then T0. To determine an off-center temperature two charts are required to calculate the product... 

A large slab of aluminum has a thickness-of 10 cm and is initially u[Pg.194]

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