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Consider a compound slab consisting of two different materials having equal thickness and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab is
  • a)
    3K
  • b)
    4/3 K
  • c)
    2/3 K
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider a compound slab consisting of two different materials having ...
Let length = L

Area = A

T1 be the temperature of the sink

T2 be the temperature of the source

T be the temperature of the junction

For the first conductor, the thermal rate is given by

H1/t =  KA (T – T1)/L  ---1

For the first conductor, the thermal rate is given by

H2/t =  2KA (T2 – T)/L  ---2

The two slabs are connected in series so the heat current flowing through will be same,

So,

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Most Upvoted Answer
Consider a compound slab consisting of two different materials having ...
Let length = L

Area = A

T1 be the temperature of the sink

T2 be the temperature of the source

T be the temperature of the junction

For the first conductor, the thermal rate is given by

H1/t =  KA (T – T1)/L  ---1

For the first conductor, the thermal rate is given by

H2/t =  2KA (T2 – T)/L  ---2

The two slabs are connected in series so the heat current flowing through will be same,

So,

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Consider a compound slab consisting of two different materials having equal thickness and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab isa)3Kb)4/3 Kc)2/3 Kd)none of theseCorrect answer is option 'B'. Can you explain this answer?
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