A-3 Side of Cylinder to Center of its Base


Let dAj be a ring around the wall of a cylinder as in Fig. A-3, and note that dAj = 2πRdz, cos θk = z/S, cos θj = R/S, and z dz = SdS. Then (10-61) is written for the side of the cylinder to dAk as

 

                                                (A-9)

A006x003

FIGURE CD-A3 Geometry for exchange from side of gas-filled cylinder to center of its base.

 

This is of the same form as (A-5), and gives the result

 

(A-10)

 

As for (A-8), this is readily evaluated for various values of R/h and kλh.