2. A very narrow pipe of length L and cross-sectional area A is filled with water. At time t = 0, a certain amount of salt, of total mass M, is placed at one end the pipe, reaching a length d. The pipe is then sealed at both ends. We wish to know the concentration of salt, C, at any time. Since the pipe is narrow, of concentration of salt over the cross section of the pipe can be neglected, and the concentration is given by C = C(x,t). The concentration satisfies the 1-D diffusion equation: the variations = D- The initial concentration profile is C(x, 0) = { M Ad 0 < x < d 0, d
2. A very narrow pipe of length L and cross-sectional area A is filled with water. At time t = 0, a certain amount of salt, of total mass M, is placed at one end the pipe, reaching a length d. The pipe is then sealed at both ends. We wish to know the concentration of salt, C, at any time. Since the pipe is narrow, of concentration of salt over the cross section of the pipe can be neglected, and the concentration is given by C = C(x,t). The concentration satisfies the 1-D diffusion equation: the variations = D- The initial concentration profile is C(x, 0) = { M Ad 0 < x < d 0, d
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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