The fluid W flows in a horizontal cylindrical pipe of radius R with an average velocity Uo. on a point that can be expressed as a zero point, Species N is injected at a certain point (r = 0) with a very low rate of MN mol/s. The rate is so small that the average speed can decrease to still be worth Uo. N species are swept downstream (on the z-axis), and at the same time diffuse in the axial and radial directions. The diffusivity constant, DNW, can be declared constant. a. Sketch the differential space to create the “shell mass balance” of the N component. b. Make a mass balance for the component N in the differential space in (a) so that obtained a differential equation that can describe the concentration profile of N in flow flowing in the pipe at steady state. c. Write down the boundary conditions so that the differential equation obtained in point (b) can be solved
The fluid W flows in a horizontal cylindrical pipe of radius R with an average velocity Uo. on
a point that can be expressed as a zero point, Species N is injected at a certain point (r = 0) with a very low rate of MN mol/s. The rate is so small that the average speed can decrease to still be worth Uo. N species are swept downstream (on the z-axis), and
at the same time diffuse in the axial and radial directions. The diffusivity constant, DNW, can be declared constant.
a. Sketch the differential space to create the “shell mass balance” of the N component.
b. Make a mass balance for the component N in the differential space in (a) so that
obtained a differential equation that can describe the concentration profile of N in
flow flowing in the pipe at steady state.
c. Write down the boundary conditions so that the differential equation obtained in point (b) can be solved
Step by step
Solved in 4 steps with 27 images
