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Discussion :: Heat and Mass Transfer

  1. The heat transfer by conduction through a thick cylinder (Q) is given by (where T₁ = Higher temperature, T₂ = Lower temperature, r₁ = Inside radius, r₂ = Outside radius, l = Length of cylinder, and k = Thermal conductivity)

  2. A.

     Q = [2πlk (T₁ - T₂)]/2.3 log (r₂/r₁)

    B.

     Q = 2.3 log (r₂/r₁)/[2πlk (T₁ - T₂)]

    C.

     Q = [2π (T₁ - T₂)]/2.3 lk log (r₂/r₁)

    D.

     Q = = 2πlk/2.3 (T₁ - T₂) log (r₂/r₁)

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    Answer : Option A

    Explanation :

    The heat transfer by conduction through a thick cylinder (Q) is given by
    Q = [2πlk (T₁ - T₂)]/2.3 log (r₂/r₁)
    where T₁ = Higher temperature, T₂ = Lower temperature, r₁ = Inside radius, r₂ = Outside radius, l = Length of cylinder, and k = Thermal conductivity


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