Question 3: Laplace Transforms A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell(1) The outlet temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE) du -gt - U – C(U – 20D) = Ae dt The initial tube temperature is U(0) = A. The heat exchanger constants are A, B, C, and D. 1. Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP). 1. 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. (1] This could be a hot water jacket heating oil to reduce viscosity and so improve pumping performance in oil-pipeline distribution.
Question 3: Laplace Transforms A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell(1) The outlet temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE) du -gt - U – C(U – 20D) = Ae dt The initial tube temperature is U(0) = A. The heat exchanger constants are A, B, C, and D. 1. Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP). 1. 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. (1] This could be a hot water jacket heating oil to reduce viscosity and so improve pumping performance in oil-pipeline distribution.
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plz solve the question with explanation within 30-40 min the values of A=7 , B=4 , C=5 and D=4. i Will give you multiple up vote.
![Question 3: Laplace Transforms
A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell1. The outlet
temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE)
dU -gt – U – C(U – 20D) = Ae
dt
The initial tube temperature is U(0) = A.
The heat exchanger constants are A, B, C, and D.
1. Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP).
1. 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.
[1] This could be a hot water jacket heating oil to reduce viscosity and so improve pumping performance in oil-pipeline distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c2dd018-8e88-42eb-98dc-6dca359bae8c%2F458b72bd-2ee7-496b-a723-32f35a22be76%2F8yb1h56_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3: Laplace Transforms
A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell1. The outlet
temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE)
dU -gt – U – C(U – 20D) = Ae
dt
The initial tube temperature is U(0) = A.
The heat exchanger constants are A, B, C, and D.
1. Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP).
1. 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.
[1] This could be a hot water jacket heating oil to reduce viscosity and so improve pumping performance in oil-pipeline distribution.
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