Derivation of Basic Transport Equation (A. ErtÃ¼rk)

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The dispersive flux can be analyzed with the simple conceptual model too. This conceptual model also includes two control volumes. Dispersion occurs towards both directions in a time interval. Δx Δx I II x Particle 20
Δx is defined as the distance, which a particle can pass in a time interval <strong>of</strong> Δt. The assumption is that the particles move on positive and negative x directions. In this case there are two directions, which particles can move in the time interval <strong>of</strong> Δt. Δx Δx I II x Particle 21
Page 1 and 2: DERIVATION OF BASIC TRANSPORT EQUAT
Page 3 and 4: The Transport Equation Mass balance
Page 5 and 6: The Transport Equation A closer loo
Page 7 and 8: The Transport Equation A.J 1 A.J 2
Page 9 and 10: The Transport Equation Rearrangemen
Page 11 and 12: The Transport Equation We are livin
Page 13 and 14: The Advective Flux 13
Page 15 and 16: Δx is defined as the distance, whi
Page 17 and 18: Δx I II Q = C ⋅ Δx ⋅ A Number
Page 19: The Dispersive Flux 19
Page 23 and 24: I q 1 II q 2 A x q 1 1 = 0.5 ⋅ C
Page 25 and 26: Q A ⋅ Δt = J DISP = − 0.5 ⋅
Page 27 and 28: Ranges of the Dispersion Coefficien
Page 29 and 30: THE ADVECTION-DISPERSION EQUATION F
Page 31 and 32: The Advection-Dispersion Equation
Page 33 and 34: Dimensional Analysis of the Advecti
Page 35 and 36: THE ADVECTION-DISPERSION EQUATION F
Page 37 and 38: 37 The Transport Equation for non c
Page 39 and 40: ⎛ ⎜ ⎝ ∂C ⎞ ⎟ ∂t ⎠ r

Derivation of Basic Transport Equation (A. ErtÃ¼rk)

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