Critical radius of insulation on cylinder - Heat Transfer

Q.  If ri and ro are the inner and outer radii of the the cylinder with insulating layer of some thickness and k is the thermal conductivity of the insulating material and hi and ho are the convective heat transfer coefficients of inside and outside fluids respectively. What is the formula for critical radius of insulation (rc)?
- Published on 12 Aug 15

a. rc = (ro – ri) / k
b. rc = k / (ro – ri)
c. rc = k / hi
d. rc = k / ho

ANSWER: rc = k / ho

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