What is view factor for two concentric cylinders ?
I am trying to find heat transferred from outer cylinder to inner cylinder.
Cylinders are concentric.
For this I need [B]view factor[/B] for two concentric cylinders with following dimensions:
For outer cylinder:
[CENTER][FONT=MathJax_Math][I]L[/I][/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math][I]l[/I][/FONT][FONT=MathJax_Math][I]e[/I][/FONT][FONT=MathJax_Math][I]n[/I][/FONT][FONT=MathJax_Math][I]g[/I][/FONT][FONT=MathJax_Math][I]t[/I][/FONT][FONT=MathJax_Math][I]h[/I][/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Math][I]H[/I][/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math][I]h[/I][/FONT][FONT=MathJax_Math][I]e[/I][/FONT][FONT=MathJax_Math][I]i[/I][/FONT][FONT=MathJax_Math][I]g[/I][/FONT][FONT=MathJax_Math][I]h[/I][/FONT][FONT=MathJax_Math][I]t[/I][/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Math][I]R[/I][/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math][I]r[/I][/FONT][FONT=MathJax_Math][I]a[/I][/FONT][FONT=MathJax_Math][I]d[/I][/FONT][FONT=MathJax_Math][I]i[/I][/FONT][FONT=MathJax_Math][I]u[/I][/FONT][FONT=MathJax_Math][I]s[/I][/FONT]
[/CENTER]
and, for inner cylinder
[CENTER][FONT=MathJax_Math][I]L[/I][/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math][I]l[/I][/FONT][FONT=MathJax_Math][I]e[/I][/FONT][FONT=MathJax_Math][I]n[/I][/FONT][FONT=MathJax_Math][I]g[/I][/FONT][FONT=MathJax_Math][I]t[/I][/FONT][FONT=MathJax_Math][I]h[/I][/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Math][I]H[/I][/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math][I]h[/I][/FONT][FONT=MathJax_Math][I]e[/I][/FONT][FONT=MathJax_Math][I]i[/I][/FONT][FONT=MathJax_Math][I]g[/I][/FONT][FONT=MathJax_Math][I]h[/I][/FONT][FONT=MathJax_Math][I]t[/I][/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Math][I]R[/I][/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math][I]r[/I][/FONT][FONT=MathJax_Math][I]a[/I][/FONT][FONT=MathJax_Math][I]d[/I][/FONT][FONT=MathJax_Math][I]i[/I][/FONT][FONT=MathJax_Math][I]u[/I][/FONT][FONT=MathJax_Math][I]s[/I][/FONT]
[/CENTER]
and
[FONT=MathJax_Math][I]L[/I][/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]>[/FONT][FONT=MathJax_Math][I]L[/I][/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Math][I]H[/I][/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]>[/FONT][FONT=MathJax_Math][I]H[/I][/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main],[/FONT][FONT=MathJax_Math][I]R[/I][/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]>[/FONT][FONT=MathJax_Math][I]R[/I][/FONT][FONT=MathJax_Main]2[/FONT]
All these 6 numbers are FINITE. Particularly, lengths are NOT infinite; i.e. cylinders are NOT very long.
Since I am not from engineering background, I would appreciate if someone write general expression for view factor in terms of above 6 numbers.