Heat source function

The rate of heat generation per unit volume, the heat source function, of a sphere is given by... 

Note that the heat source function is proportional to the imaginary... 

Sitarski (1987) computed heat source functions for layered spheres consisting of a core of coal surrounded by a layer of water. One of these source functions is shown in Fig. 24 as a slice through the equatorial plane of the composite sphere. The anisotropy is quite significant with a source spike at the front of the sphere. There is relatively little heat generated in the core, for the electrical field is strongest near the surface. That is quite typical of a strongly absorbing sphere, and Allen and her coworkers showed similar results for a carbonaceous microsphere illuminated by visible and by infrared sources. 

Fig. 24. The heat source function for concentric spheres with an outer diameter of 10.08 laa. The core, consisting of coal, has a diameter of 9.24 pm, and the outer layer is water. The incident wavelength is 1,450 nm. (From Sitarski, 1987.)...

The heat conduction equation (2.32) does not contain any factors different from one when we use the dimensionless heat source function W+ from (2.31b), and so... 

The dimensionless function q j contains one or more parameters which describe the position and time dependence of the heat flux qw, if the special case of qw = 0 is disregarded. These dimensionless parameters enter, in the same way as the parameters in the heat source function W+ from (2.31b), as dimensionless numbers into the solution of heat conduction problems. 

The effect of the local exhaust airflow rate in the lower zone is presented in h ig, 8.37. The heat removal effectiveness e and contaminant removal effectiveness Cf (determined by extract air) are presented as functions of the local exhaust airflow rare. The total heat load is 60 W m - and the power of one heat source is 500 W. The supply airflow rate is 8 L s m . ... 

Booths are partially enclosed workplaces with one or more open facefs) for access by workers. These openings at one or more sides of the enclosure function not only to capture air contaminants directly through their short-distance capture capability but also to cause an airflow in a certain direction (normally away from the worker/work process and into the enclosure). The capture efficiency could be increased by using an existing main flow direction (e.g., thermal flows caused by heat sources) to support the capture process. 

Figure 12.42ft shows the measurements given as a function of the Archimedes number At ATqIuq. This figure is more informative than Fig. 12.42(3. The figure shows that the temperature effectiveness is a function of the Archimedes number. An identical level of j for the two diffusers A and B at the same Archimedes number implies that the temperature effectiveness is rather independent of the diffuser design and the local induction close to the diffuser. The effectiveness is probably more dependent on other parameters that are constant in the experiments, such as heat source and heat source location.

Before stating the main results, it will be sensible to clarify a physical sense of the function u(x), which solves problem (1) subject to the conditions [u] = 0 and [kii ] = — Qq (/ — x) kg = g at the point x =. Here q stands for the capacity of a point heat source (sink) at the point X =. Being dependent on x, the quantity q varies very widely. Specifically, q —+ 00 as X — 5 0. Thus, the physical reason for the convergence of scheme (2) is that the heat balance (the conservation law of heat) is... 

Adopting those ideas to problem (1), (2), (14) concerning a point heat source, an excellent start in this direction is to replace the function f x) involved in formula (40) by f x) + 6 x — where 6 x - ) is Dirac s... 

Here Go(a ,t) is a function of the heat source of the Cauchy problem associated with the one-dimensional heat conduction equation... 

A control system is a system of integrated elements whose function is to maintain a process variable at a desired value or within a desired range of values. The control system monitors a process variable or variables, then causes some action to occur to maintain the desired system parameter. In the example of the central heating unit, the system monitors the temperature of the house using a thermostat. When the temperature of the house drops to a preset value, the furnace turns on, providing a heat source. The temperature of the house increases until a switch in the thermostat causes the furnace to turn off. 

Time resolution of the enthalpy changes is often possible and depends on a number of experimental parameters, such as the characteristics of the transducer (oscillation frequency and relaxation time) and the acoustic transit time of the system, za, which can be defined by ra = r0/ua where r0 is the radius of the irradiated sample, and va is the speed of sound in the liquid. The observed voltage response of the transducer, V (t) is given by the convolution of the time-dependent heat source, H (t) and the instrument response function,... 

The evaporation rate is of course a function of heat flux arising from the varying heat sources described above. The primary air temperature and air rate have also a pronounced effect on the evaporation rate. 

The pyrolysis rate is also a function of the heat flux from different heat sources during the course of the batch combustion. 

As indicated by Fig. 23 and Fig. 24, the source function can be highly asymmetrical. For the liquid droplet corresponding to Fig. 23, one would expect the internal temperature to be higher near the back and front of the sphere because of the spikes in the source function in those regions. As a result, the evaporation rate should be enhanced at the rear stagnation point and the front of the sphere. To calculate the evaporation rate when internal heating occurs, one must solve the full problem of conduction within the sphere coupled with convective heat and mass transport in the surrounding gas. 

His tendency was the same as that of nearly all medical chemists of his period—to accept a plausible analogy instead of waiting for more basis in facts for his conclusions. Especially notable was his attempt to make the chemical function of the body depend on action between acids and alkalies. So for instance he said that in the right auricle and ventricle of the heart, the blood in its circulation meets the blood charged with bile. The mixture of these two effervesces on contact like iron and oil of vitriol. This is the source of animal heat. The function of respiration he concludes is to temper the heat produced by this effervescence, and expiration from the lungs carries away the vapors produced by the effervescense. 

The autonomy of the process of completion of the combustion (burn-up) suggests a means of effectivizing the source in the presence of an inflection point on the curve heat release function should be carried out only in an interval of temperatures which excludes the burn-up zone. We shall further set... 

---