The present investigation was undertaken to apply theoretical methods to the ventilation of the polluted air in room where carbondioxide was not completely diffused. C
m+1, C
m, and C
m-1 are concentrations of carbondioxide at places (m+1) δX, mδX and (m-1) δX at time T (=nδT), respectively, C
+m is the concentration of cabondioxide at a place mδX at (n+1) δT, where superscript+denotes time (n+1) δT, subscripts m, (m+1) and (m-1) denote spaces mδX, (m+1) δX and (m-1) δX, respectively. Assuming that concentracion of carbondioxide depends on time and space, the following equation can be obtained, ∂C/∂T=D (∂
2C/∂X
2) where X is a distance from a source of the evolution of carbondioxide, and D is a constant (not equal to 0). Implicit difference analogue for the above equation can be obtained as follows, (∂
2C/∂X
2)
m=(C
m+1-2C
m+C
m-1)/(δX)
2 According to the Taylor's expansion theorem, the Schmidt's and Dusinberre's methods, following equations can be obtained, C
+m=(C
m+1+C
m-1)/2 C
+m=(C
m+1+C
m+C
m-1/3 respectively. In two dimensional diffusion, C
j, k+1 and C
j, k-1 are concentrations of carbondioxide at places x=jh, y=(k±1) h at time T (=nδT), and C
j+1, k and C
j-1, k are at places x=(j±1) h, y=kh, respectively, and C
+j, k is at a place x=jh, y=kh at time (n+1) δT. The following equation can be obtained as one dimensional diffusion, C
+j, k=(C
j+1, k+C
j-1, k+C
j, k+1+C
j, k-1)/4 It was found experimentally that above equations were appropriate from the concentrations of carbondioxide in room.
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