GATE CE · 2023 · CE-2
Question 52: Partial Differential Equation (PDE)
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Question 52
CE-2NAT2 marksNeeds review
A 5 cm long metal rod AB was initially at a uniform temperature of
°C. Thereafter, temperature at both the ends are maintained at 0 °C. Neglecting the heat transfer from the lateral surface of the rod, the heat transfer in the rod is governed by the one-dimensional diffusion equation
, where D is the thermal diffusivity of the metal, given as 1.0 cm²/s.The temperature distribution in the rod is obtained as
where x is in cm measured from A to B with
at A, t is in s,
are constants in °C, T is in °C, and
is in s⁻¹.The value of
(in s⁻¹, rounded off to three decimal places) is ____________.Log in to check the answer
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2023CE-2
GATE CE 2023 · Paper 2
Civil Engineering · Original paper archive
- Section
- Section CE-2
- Question type
- Numerical answer (NAT)
- Marks
- 2 marks
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