Continuous Point Source Emitting into Infinite Space

3 Continuous Point Source Emitting into Infinite Space 

For emissions into half space, the concentration given by Equation 4.4 is again doubled (see Item 6 of Table 4.1). 

Concentration profiles and histories in source problems (infinite domain). 

Illustration 4.1 Concentration Response to an Instantaneous Point Source Release in the Environment and in a Living Cell 

The problem considered here involves calculating the concentrations that arise when material released by an instantaneous point source diffuses into a semi-infinite domain. In the environment, this could come about, for example, when a tank containing pressurized liquefied gas is ruptured and releases the contents, which instantly evaporate into the surrounding air. 

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CONTINUOUS POINT SOURCE EMITTING INTO INFINITE SPACE... 

A search of the standard work on solutions to Pourier s equation reveals that it contains a section entitled "Moving Sources of Heaf" (Carslaw and Jaeger, 1959, p. 266). Described in fhis section is a problem in which "heat is emitted at the origin for times f > 0 af fhe rate q heat units per unit time, and that an infinite medium moves uniformly past the origin with a velocity U parallel to the x-axis." This situation corresponds to the case of a continuous-point mass source emitting into half space in which the air moves in the V direction with a velocity U. 

Continuous Point Source on a Semi-Infinite Plane Emitting into Half Space... 

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