Use Separation of variables method to find the heat distribution function u(x, t) of a metal bar of length 30 cm. If it has an initial temperature of f(x) = 2x + 3 °C and its left and right ends are both contacted with ice at 0 °C. (Take a = 1)

Use Separation of variables method to find the heat distribution function u(x, t) of a metal bar of length 30 cm. If it has an initial temperature of f(x) = 2x + 3 °C and its left and right ends are both contacted with ice at 0 °C. (Take a = 1)

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.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.55P

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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.

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2. Use Separation of variables method to find the heat distribution function
u(x, t) of a metal bar of length 30 cm. If it has an initial temperature of
f(x) = 2x + 3 °C and its left and right ends are both contacted with ice at
0 °C. (Take a = 1)

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