Solution_HW7

# Solution_HW7 - Solution for homework Set#7 Consider a crude...

This preview shows pages 1–2. Sign up to view the full content.

Solution for homework Set #7: Consider a crude oil flowing in an annular space of a horizontal production well. The two coaxial casings forming the annulus have inner and outer radii κ R and R, respectively. Heat is added to the fluid through the inner cylinder wall at the rate q 0 (heat per unit are per unit time), and the outer cylinder wall is thermally insulated. Note that in this problem you must use a cylindrical coordinate system. It is assumed that heat conduction in the flow direction is negligible compared to energy convection, and that the viscous works is negligible. a. State necessary assumptions. b. Derive a partial differential equation describing temperature distribution in the crude oil. You do NOT need to solve this equation. c. State boundary conditions. Answer: 1. Assumptions a. The heat conduction in the z-direction is negligible compared to energy convection b. Works done by viscous stresses are negligible.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### 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