Matrixbuall-Pictص كل الصور(a)Model the temperature distribution in a bar oflength Tt with diffusivity 4; and the ends x=0 and x= Tare insulated. The initial temperature is f(x)3 sin(x).Derive the temperature distribution from the equation(b)you modelled in part (a).个|口回文03> 個EENGeTOUCHMATE

Solution a: Length of bar is π, diffusivity is 4 then diffusion equation will be ut=4uxx (1)…

Answered: (a) Model the temperature distribution…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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(a) Model the temperature distribution in a bar of length π with diffusivity 4; and the ends x = 0 and x = π are insulated. The initial temperature is f(x)=sin(x). (b) Derive the temperature distribution from the equation you modelled in part (a).