Consider the general discretized equation given by aP ΦP+∑F~NB(P)aF ΦF =0. According to the zero sum rule, which of these is correct?(a) ∑F~NB(P)\(\frac{a_F}{a_P}\) = ∞(b) ∑F~NB(P)\(\frac{a_F}{a_P}\) = 1(c) ∑F~NB(P)\(\frac{a_F}{a_P}\) = -1(d) ∑F~NB(P)\(\frac{a_F}{a_P}\) = -∞This question was addressed to me in an online quiz.I would like to ask this question from Diffusion Problem in chapter Diffusion Problem of Computational Fluid Dynamics

Consider the general discretized equation given by aP ΦP+∑F~NB(P)aF

1.	Consider the general discretized equation given by aP ΦP+∑F~NB(P)aF ΦF =0. According to the zero sum rule, which of these is correct?(a) ∑F~NB(P)\(\frac{a_F}{a_P}\) = ∞(b) ∑F~NB(P)\(\frac{a_F}{a_P}\) = 1(c) ∑F~NB(P)\(\frac{a_F}{a_P}\) = -1(d) ∑F~NB(P)\(\frac{a_F}{a_P}\) = -∞This question was addressed to me in an online quiz.I would like to ask this question from Diffusion Problem in chapter Diffusion Problem of Computational Fluid Dynamics
Answer» Right OPTION is (c) ∑F~NB(P)\(\frac{a_F}{a_P}\) = -1 The best I can explain: From the zero SUM rule, \(a_P+\sum_{(F \sim NB(P))}a_F = 0\) Divided by aP, the equation BECOMES \(1+\frac{\sum_{F \sim NB(P)}a_F}{a_P} = 0 \) \(\frac{\sum_{F \sim NB(P)}a_F}{a_P} =-1\) This can be written as \(\sum_{F \sim NB(P)}\frac{a_F}{a_P} =-1\).

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