室内汚染空気の換気について(第5報) : 不均-な室内汚染空気の換気に関する理論式の考察(その4)

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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.
公益社団法人日本薬学会の論文
1968-10-30

室内汚染空気の換気について(第5報) : 不均-な室内汚染空気の換気に関する理論式の考察(その4)

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