{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

CHE3123 Chap17-2BW

CHE3123 Chap17-2BW - Two and Three Dimensional Systems...

This preview shows pages 1–6. Sign up to view the full content.

Two and Three Dimensional Systems Analytical Solutions Laplace equation for heat transfer (for conduction) is 2 T = 0 (steady state) 2 T 2 T 2 T 0 x 2 y 2 z 2 Solutions available for simple cases (see text)

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

View Full Document
Flux plotting Draw lines of constant temperature (isotherms). Lines perpendicular to these will be energy flow lines (along the direction of maximum gradient). If we keep m = n then the shape factor S is: S N # of flow tubes M # of squares in flow tubes
Pg 250 table 17.1 has a list of shape factors q = S k (T h -T c ) Note: for convective circular cylinders S 2 π ln(r o /r i ) T + T Energy flow T n m

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

View Full Document
Analogy solution: Set up electrical flow lines in geometrically similar shape and record voltage where voltage is the same. Numerical solution: Set up 2-D gradient on object. Look at a volume element i,j+1 x i-1,j y i,j i+1,j i,j-1
The heat input to the element is: δ Q k y ( T i-1,j – T i,j ) + k y (T i+1,j – T i,j ) dt x x + k x (T i,j-1 – T

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