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Which of the followings is wrong value of characteristic length l which appears in the Biot number hl/k cand the Fourier number αζ / l2 ?
  • a)
    l = R/3 in case of sphere of radius R.
  • b)
    l = R/2 in case of a cylinder of radius Rand length L.
  • c)
    l = L/6 in case of a cube with each side of length L
  • d)
    l = b/2 for a flat plate of thickness δ, breadth b and height h.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the followings is wrong value of characteristic length l whic...

b and h >> δ
∴ l = δ/2
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Which of the followings is wrong value of characteristic length l whic...
The Biot number (Bi) is a dimensionless number used in heat transfer calculations, and it is defined as the ratio of convective heat transfer resistance to conductive heat transfer resistance. It is given by the equation Bi = hl/k, where h is the convective heat transfer coefficient, l is the characteristic length, and k is the thermal conductivity of the material.

The Fourier number (Fo) is another dimensionless number used in heat transfer calculations, and it represents the ratio of the rate of heat conduction to the rate of heat storage. It is given by the equation Fo = αt/l^2, where α is the thermal diffusivity of the material, t is the time, and l is the characteristic length.

Both the Biot number and the Fourier number depend on the characteristic length (l), which represents the characteristic dimension of the system. The characteristic length depends on the geometry and dimensions of the system under consideration. Therefore, there is no inherently "wrong" value for the characteristic length. It depends on the specific problem being analyzed.
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Which of the followings is wrong value of characteristic length l which appears in the Biot number hl/k cand the Fourier number αζ / l2 ?a)l = R/3 in case of sphere of radius R.b)l = R/2 in case of a cylinder of radius Rand length L.c)l = L/6 in case of a cube with each side of length Ld)l = b/2 for a flat plate of thickness δ, breadth b and height h.Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the followings is wrong value of characteristic length l which appears in the Biot number hl/k cand the Fourier number αζ / l2 ?a)l = R/3 in case of sphere of radius R.b)l = R/2 in case of a cylinder of radius Rand length L.c)l = L/6 in case of a cube with each side of length Ld)l = b/2 for a flat plate of thickness δ, breadth b and height h.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the followings is wrong value of characteristic length l which appears in the Biot number hl/k cand the Fourier number αζ / l2 ?a)l = R/3 in case of sphere of radius R.b)l = R/2 in case of a cylinder of radius Rand length L.c)l = L/6 in case of a cube with each side of length Ld)l = b/2 for a flat plate of thickness δ, breadth b and height h.Correct answer is option 'D'. Can you explain this answer?.
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