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Q2(a) The temperature at one end of a bar 10cm long and with insulated sides is kept at 0°C and that other end is kept at 60°C until steadystate conditions prevail. The two ends are then suddenly insulated, so that the temperature gradient is zero at each thereafter. The temperature distribution in the bar at t = 0 reduces to ∞ MTX u(x,0) Ao = -+ + Σ An 0 < x < 10. COS (10-x), 2 10 N=1 Find Euler-Fourier coefficient A, and An- =

Q2(a) The temperature at one end of a bar 10cm long and with insulated sides is kept at 0°C and that other end is kept at 60°C until steadystate conditions prevail. The two ends are then suddenly insulated, so that the temperature gradient is zero at each thereafter. The temperature distribution in the bar at t = 0 reduces to ∞ MTX u(x,0) Ao = -+ + Σ An 0 < x < 10. COS (10-x), 2 10 N=1 Find Euler-Fourier coefficient A, and An- =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q2(a) The temperature at one end of a bar 10cm long and with insulated sides is kept at 0°C and that other end is kept at 60°C until steadystate conditions prevail. The two ends are then suddenly insulated, so that the temperature gradient is zero at each thereafter. The temperature distribution in the bar at t = 0 reduces to ∞ Ao = -+ nTX u(x, 0) + Σ 0 < x < 10. (10-x), An cos 2 10 N=1 Find Euler-Fourier coefficient A, and An- =
Transcribed Image Text:Q2(a) The temperature at one end of a bar 10cm long and with insulated sides is kept at 0°C and that other end is kept at 60°C until steadystate conditions prevail. The two ends are then suddenly insulated, so that the temperature gradient is zero at each thereafter. The temperature distribution in the bar at t = 0 reduces to ∞ Ao = -+ nTX u(x, 0) + Σ 0 < x < 10. (10-x), An cos 2 10 N=1 Find Euler-Fourier coefficient A, and An- =
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