The temperature of an exotic liquid in a pipe of length L = 2 can be described by the following PDE ᏭᎢ . -u+D. дг ᏭᎢ . dr² ƏT Ət with time t, temperature T, u a constant velocity, and D a constant thermal diffusivity. For a grid of M + 1 equally spaced points along the pipe and Ar the spacing between points, write the equation for the right-hand-side fi of Eq. (2) at mesh point i with second order accurate central finite differences.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...
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The temperature of an exotic liquid in a pipe of length L = 2 can be described by the following PDE
Ꭷ2Ꭲ .
ər²
ƏT
Ət
ƏT
?х
+ D
(2)
with time t, temperature T, u a constant velocity, and D a constant thermal diffusivity. For a grid of M+ 1 equally
spaced points along the pipe and Ar the spacing between points, write the equation for the right-hand-side fi of
Eq. (2) at mesh point with second order accurate central finite differences.
Transcribed Image Text:The temperature of an exotic liquid in a pipe of length L = 2 can be described by the following PDE Ꭷ2Ꭲ . ər² ƏT Ət ƏT ?х + D (2) with time t, temperature T, u a constant velocity, and D a constant thermal diffusivity. For a grid of M+ 1 equally spaced points along the pipe and Ar the spacing between points, write the equation for the right-hand-side fi of Eq. (2) at mesh point with second order accurate central finite differences.
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