## Info

A1 and A2 are the bounding surface areas on the negative z direction and positive z direction, respectively. Thus, n • n3 is negative on A1 (because on A1, n is pointing toward the negative z while n3 is pointing toward the positive z). n • n3 is positive on A2 (by parallel reasoning). Therefore, f d dV = f { S3 ( x, y, z2 )}[ n • n3 ] dAx +J { S3 (x,y,z1 )}[(n • n3)] dAx

Considering the x and y directions, respectively, and following similar steps: f -S dV =f S3[n • n1 ] dA (64)

Si and S2 are the scalar components of S on the x and y axes, respectively, and fil and n2 are the unit vectors on the x and y axes, respectively.

Adding Eqs. (63), (64), and (67) produces the Gauss-Green divergence theorem. That is, dS3 r dSi (• dS2

f ^ dV + f S dV + f --r2 dV = f S3[n • n3] dA + f S1[n • n1 ] dA JV oz JV ox JV oy ¿a J a

## Healthy Chemistry For Optimal Health

Thousands Have Used Chemicals To Improve Their Medical Condition. This Book Is one Of The Most Valuable Resources In The World When It Comes To Chemicals. Not All Chemicals Are Harmful For Your Body – Find Out Those That Helps To Maintain Your Health.

Get My Free Ebook