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The velocity u(x,t) of a fluid on the interval 0 < x < L obeys the viscous Burger's equation du ди + u = V Ət Əx where u(0, t) = 0, u(L, t) = 0 and u(x, 0) = uox(L – x)/L². You can assume that uo and v are positive real constants. i What are the dimensions of uo and v? ii) Assuming a weak nonlinearity, nondimensionalize this problem.

The velocity u(x,t) of a fluid on the interval 0 < x < L obeys the viscous Burger's equation du ди + u = V Ət Əx where u(0, t) = 0, u(L, t) = 0 and u(x, 0) = uox(L – x)/L². You can assume that uo and v are positive real constants. i What are the dimensions of uo and v? ii) Assuming a weak nonlinearity, nondimensionalize this problem.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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The velocity u(x, t) of a fluid on the interval 0 < x < L obeys the viscous Burger's equation du du + u Ət = V where u(0, t) = 0, u(L, t) = 0 and u(x, 0) = uox(L – x)/L². You can assume that uo and v are positive real constants. (i) What are the dimensions of uo and v? (ii) Assuming a weak nonlinearity, nondimensionalize this problem.
Transcribed Image Text:The velocity u(x, t) of a fluid on the interval 0 < x < L obeys the viscous Burger's equation du du + u Ət = V where u(0, t) = 0, u(L, t) = 0 and u(x, 0) = uox(L – x)/L². You can assume that uo and v are positive real constants. (i) What are the dimensions of uo and v? (ii) Assuming a weak nonlinearity, nondimensionalize this problem.
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