The ends A and B of a rod 10 cm long have their temperatures kept at 0°c and 20°c respectively, until steady state conditions prevail. The temperature of the end B is then suddenly raised to 60°c and kept so while that of the end A is kept at 0°c. Find the temperature u(a, t).

The ends A and B of a rod 10 cm long have their temperatures kept at 0°c and 20°c respectively, until steady state conditions prevail. The temperature of the end B is then suddenly raised to 60°c and kept so while that of the end A is kept at 0°c. Find the temperature u(a, t).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.44P: 2.44 To determine the thermal conductivity of a long, solid 2.5-cm-diameter rod, one half of the rod...

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

The ends A and B of a rod 10 cm long have
their temperatures kept at 0°c and 20°c
respectively, until steady state conditions
prevail. The temperature of the end B is then
suddenly raised to 60°c and kept so while that
of the end A is kept at 0°c. Find the
temperature u(x, t).

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