Consider the right-circular cylinder of diameter D, length L, and the areas A1, A2, and A3 representing the base, inner, and top surfaces, respectively. (a) Show that the view factor between the base of the cylinder and the inner surface has the form, where H = L/D. F_{12}=2H\left[\left(1+H^2\right)^{\frac{1}{2}}-H\right]F12=2H[(1+H2)21−H] (b) Show that the view factor for the inner surface to itself has the form. F_{22}=1+H-\left(1+H^2\right)^{\frac{1}{2}}F22=1+H−(1+H2)21

Consider the right-circular cylinder of diameter D, length L, and the areas A1, A2, and A3 representing the base, inner, and top surfaces, respectively. (a) Show that the view factor between the base of the cylinder and the inner surface has the form, where H = L/D. F_{12}=2H\left[\left(1+H^2\right)^{\frac{1}{2}}-H\right]F12=2H[(1+H2)21−H] (b) Show that the view factor for the inner surface to itself has the form. F_{22}=1+H-\left(1+H^2\right)^{\frac{1}{2}}F22=1+H−(1+H2)21

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter11: Heat Transfer By Radiation

Section: Chapter Questions

Problem 11.34P

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