Instantaneous Point-source Solution - IfH

More documents

Recommendations

Info

Section 2: Moving coordinate system 8 which reduces to ∂C ∂τ = D ∂2 C ∂ξ 2 . (10) This is just the one-dimensional pure diffusion equation in the coordinates τ and ξ. Hence, we only need to find the point-<strong>source</strong> solution for pure diffusion. [PgUp] [PgDn] [Back]
Section 3: Similarity solution to the one-dimensional diffusion equation 9 3. Similarity solution to the one-dimensional diffusion equation Consider the one-dimensional inviscid problem of a narrow, infinite pipe (radius a) as depicted in Figure 3. A mass of tracer, M, is injected uniformly across the cross-section of area A = πa 2 at the point x = 0 at time t = 0. We seek a solution for the spread of tracer in time due to pure diffusion. The governing equation is ∂C ∂t = D ∂2 C ∂x 2 (11) which requires two boundary conditions and an initial condition: • As boundary conditions, we impose that the concentration at ±∞ remain zero: C(±∞, t) = 0. (12) [PgUp] [PgDn] [Back]
Page 1 and 2: 1 UNIVERSITY OF KARLSRUHE Institute
Page 3 and 4: Section 1: Review of the advective
Page 5 and 6: Section 1: Review of the advective
Page 7: Section 2: Moving coordinate system
Page 11 and 12: Section 3: Similarity solution to t
Page 19 and 20: Section 5: Point-source solution wi
Page 21 and 22: Figures and tables 21 Table 1: Mole
Page 23 and 24: Figures and tables 23 Table 3: Mole
Page 25 and 26: Figures and tables 25 Figure 3: Def
Page 27 and 28: Figures and tables 27 Figure 4: Sel
Page 29: References Fischer, H. B., List, E.

Instantaneous Point-source Solution - IfH

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?