A cube at high temperature is immersed in a constant temperature bath. It loses heat from its top, bottom and side surfaces with heat transfer coefficients of h₁, h₂ and h₃ respectively. The average heat transfer coefficient for the cube is

A) $${{\text{h}}_1} + {{\text{h}}_2} + {{\text{h}}_3}$$ B) $${\left( {{{\text{h}}_1}{{\text{h}}_2}{{\text{h}}_3}} \right)^{\frac{1}{3}}}$$ C) $$\frac{1}{{{{\text{h}}_1}}} + \frac{1}{{{{\text{h}}_2}}} + \frac{1}{{{{\text{h}}_3}}}$$ D) None of these

Answer & Solution

Correct Answer: Option C

A cube at high temperature is immersed in a constant temperature bath. It loses heat from its top, bottom and side surfaces with heat transfer coefficients of h₁, h₂ and h₃ respectively. The average heat transfer coefficient for the cube is $$\frac{1}{{{{\text{h}}_1}}} + \frac{1}{{{{\text{h}}_2}}} + \frac{1}{{{{\text{h}}_3}}}.$$

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Avadh Patel 5 years ago

A) all surfaces will be consider as in parallel connection, so thermal resistance is inversely proportional to h.
1/R proportional to h.

Sarveshwer Chandra 6 years ago

(h1+h2+4h3)/6

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A cube at high temperature is immersed in a constant temperature...

A cube at high temperature is immersed in a constant temperature bath. It loses heat from its top, bottom and side surfaces with heat transfer coefficients of h1, h2 and h3 respectively. The average heat transfer coefficient for the cube is

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A cube at high temperature is immersed in a constant temperature bath. It loses heat from its top, bottom and side surfaces with heat transfer coefficients of h₁, h₂ and h₃ respectively. The average heat transfer coefficient for the cube is