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The maximum temperature inside a solid sphere maintained at steady state with one dimensional temperature profile having internal heat generation rate and surface temperature is Tw is
  • a)
    fin
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The maximum temperature inside a solid sphere maintained at steady st...
For spherical coordinates, the general heat conduction equation with internal heat generation is given by
By solving the above equation we get
Let
Tc = center temperature
Tw = surface temperature
= heat generated per unit volume
∵ at r = 0, tT = Tc
If we put this B.C in equation ① then we get finite value in L.H.S. and undefined in R.H.S.
Hence mathematically equation is true only if
C1, = 0, then the equation becomes
Hence,
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Most Upvoted Answer
The maximum temperature inside a solid sphere maintained at steady st...
For spherical coordinates, the general heat conduction equation with internal heat generation is given by
By solving the above equation we get
Let
Tc = center temperature
Tw = surface temperature
= heat generated per unit volume
∵ at r = 0, tT = Tc
If we put this B.C in equation ① then we get finite value in L.H.S. and undefined in R.H.S.
Hence mathematically equation is true only if
C1, = 0, then the equation becomes
Hence,
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Community Answer
The maximum temperature inside a solid sphere maintained at steady st...
For spherical coordinates, the general heat conduction equation with internal heat generation is given by
By solving the above equation we get
Let
Tc = center temperature
Tw = surface temperature
= heat generated per unit volume
∵ at r = 0, tT = Tc
If we put this B.C in equation ① then we get finite value in L.H.S. and undefined in R.H.S.
Hence mathematically equation is true only if
C1, = 0, then the equation becomes
Hence,
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The maximum temperature inside a solid sphere maintained at steady state with one dimensional temperature profile having internal heat generation rate and surface temperature is Tw isa) finb) c) d) Correct answer is option 'C'. Can you explain this answer?
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