Question

Consider a slender body and a well-rounded one of same volume and material. Identify the correct statements in the context of lumped system analysis and Biot number of these bodies. (Check all that apply.) Check All That Apply The lumped system analysis is more likely to be applicable to slender bodies. The lumped system analysis is more likely to be applicable to slender bodies. The lumped system analysis is more likely to be applicable to well-rounded bodies. The lumped system analysis is more likely to be applicable to well-rounded bodies. Biot number is much larger for slender bodies. Biot number is much larger for slender bodies. Biot number is much smaller for slender bodies.

Answer 1

The lumped body analysis is most applicable for slender bodies because Biot number is smaller for the slender bodies as compare to the well rounded bodies.

As we know that Biot number Bi ,given as

`Bi=(hL_c)/(k)`

h= heat transfer coefficient

k= thermal conductivity

Lc=characteristic length

`L_c=(V)/(A)`

V=volume

A=area

When Bi is less than 0.1 then lumped body analysis is applicable.