4. A fluid is flowing in a vertical pipe and mass transfer is occurring from the...

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4. A fluid is flowing in a vertical pipe and mass transfer is occurring from the pipe wall to the fluid. Use dimensional analysis to prove the relationship of the mass-transfer coefficient k to the variables D, p, μ, v, DAB, 9, Ap, and L, where D is pipe diameter, L is pipe length, and Ap is the density difference as k',D DAB gL³pAp Dvp μ μ 'PDAB 4² = fe 4. A fluid is flowing in a vertical pipe and mass transfer is occurring from the pipe wall to the fluid. Use dimensional analysis to prove the relationship of the mass-transfer coefficient k to the variables D, p, μ, v, DAB, 9, Ap, and L, where D is pipe diameter, L is pipe length, and Ap is the density difference as k',D DAB gL³pAp Dvp μ μ 'PDAB 4² = fe