1. Engineering
  2. Chemical Engineering
  3. these are 2 half half pictures of a same question...

Question: these are 2 half half pictures of a same question...

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2. You recently landed a job at Ito En to make bottled Japanese green tea. A well-mixed tank is used to blend green tea concentrate with water to make the final product. The concentrate flows into the tank at a rate of w kg/s and at temperature T K. The pure water flows into the tank at a rate ww kg/s and at temperature T. K. The temperature of each of the incoming streams varies with time. An overflow line keeps the volume of green tea in the tank at a constant value, Vm. The flow rate of green tea out of the tank is w kg/s and its temperature is T K wwKals tea conertrate hat wdter Figure 1: Two streams of different temperatures are mixed continuously. (a) It is important to know the temperature of the outlet tea stream. Considering that T。= Tr(t) and Te Tat), write a dynamic ODE model for the temperature of the green tea exiting the tank, T(t) Assume the density of the liquids are constant and ρ kg/m. Assume the specific heats of the liquids are cp b) List two reasons why the assumption that the density of the liquid is constant may lead to inaccuracies for the system in Fig. 1 (c) Conceptually, if you know T, w Te and , T(t) should follow. Yet, this ad- from your d) Write your dynamic model in deviation for, where T, Te, and T, are the steady (e) Derive the transfer function G(s) relating changes in T to resulting changes in ditional variable might appear in your energy balance. Eliminate dynamic model if you havent already. state values and deviation variable e.g. T(t) T(t) T T. Derive the transfer function Ge(s) relating changes in Te to resulting changes in T. (You can derive both at once, but you dont have to.) Write your transfer functions in standard gain/time-constant form. (f) Draw a block low diagram of this process as we did in class. The output here is T: the two inputs are T and T. Write your Ge(s) functions in the boxes.

2. You recently landed a job at Ito En to make bottled Japanese green tea. A well-mixed tank is used to blend green tea concentrate with water to make the final product. The concentrate flows into the tank at a rate of w kg/s and at temperature T K. The pure water flows into the tank at a rate ww kg/s and at temperature T. K. The temperature of each of the incoming streams varies with time. An overflow line keeps the volume of green tea in the tank at a constant value, Vm. The flow rate of green tea out of the tank is w kg/s and its temperature is T K wwKals tea conertrate hat wdter Figure 1: Two streams of different temperatures are mixed continuously. (a) It is important to know the temperature of the outlet tea stream. Considering that T。= Tr(t) and Te Tat), write a dynamic ODE model for the temperature of the green tea exiting the tank, T(t) Assume the density of the liquids are constant and ρ kg/m. Assume the specific heats of the liquids are cp b) List two reasons why the assumption that the density of the liquid is constant may lead to inaccuracies for the system in Fig. 1 (c) Conceptually, if you know T, w Te and , T(t) should follow. Yet, this ad- from your d) Write your dynamic model in deviation for, where T, Te, and T, are the steady (e) Derive the transfer function G(s) relating changes in T to resulting changes in ditional variable might appear in your energy balance. Eliminate dynamic model if you havent already. state values and deviation variable e.g. T(t) T(t) T T. Derive the transfer function Ge(s) relating changes in Te to resulting changes in T. (You can derive both at once, but you dont have to.) Write your transfer functions in standard gain/time-constant form. (f) Draw a block low diagram of this process as we did in class. The output here is T: the two inputs are T and T. Write your Ge(s) functions in the boxes.

These are 2 half half pictures of a same question. Expert's correct answer with detailed steps for all parts of this question is required ASAP. It's a humble request to add details of steps and answer all parts not 1 or 2. Thanks in advance

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