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A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell'. The outlet temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE)- du te B - U – C(U – 20D)e dt The initial tube temperature is U(0) = A.“ The heat exchanger constants are A, B, C, and D.-

A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell'. The outlet temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE)- du te B - U – C(U – 20D)e dt The initial tube temperature is U(0) = A.“ The heat exchanger constants are A, B, C, and D.-

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A=12 B=12 C=7 D=7

A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell'. The outlet temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE)« du A B- U – C(U – 20D)e dt te The initial tube temperature is U(0) = A. The heat exchanger constants are A, B, C, and D.- Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP). Use Laplace transforms to solve YOUR IVP for the tube outlet temperature as a function of time and write down the steady-state value of the tube outlet temperature.
Transcribed Image Text:A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell'. The outlet temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE)« du A B- U – C(U – 20D)e dt te The initial tube temperature is U(0) = A. The heat exchanger constants are A, B, C, and D.- Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP). Use Laplace transforms to solve YOUR IVP for the tube outlet temperature as a function of time and write down the steady-state value of the tube outlet temperature.
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