Problem_Set_2__assigned_January_22__2013

# I i i i i v v show that setting i diff i i i m v v

• Notes
• 2

This preview shows page 1 - 2 out of 2 pages.

i i i i i V V ; show that setting i diff i i i m V V , requires 2 , 1 , diff diff m m . (ii) In the case of Fickian diffusion of species 1 into species 2, 1 , diff m is described by the relationship x D m x diff 1 12 , 1 , where ) /( 2 1 1 1 and D 12 = D 21 is the diffusion coefficient for 1 in 2. Show that Fick’s diffusion law in a stationary or moving binary mixture requires also 2 , 1 , diff diff m m so that defining i diff i i i m V V , is consistent both with Fick’s law and the above definition of mass-averaged velocity. 3. A flow is described by the velocity field u = α x , v = - αy , w = 0 where α is a positive constant. The concentration of a species (a pollutant, say) in the flow is given by c(x, y, t) = βx 2 yexp(- γt) for y > 0 where γ , β are constant coefficients. Is the bulk flow

Subscribe to view the full document.

incompressible? Does the concentration of species c for any particular fluid element change with time? Why or why not? 4. Derive the conservation equations for the combined advection (flow) and diffusion of species i within some bulk mixture in spherical coordinates. Choose a curved element with inner radius r and outer radius r + dr

{[ snackBarMessage ]}

###### "Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern