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A device is used to mix hot and cold water. It has two inlet pipes, carrying hot and cold water, and one outlet pipe that removes the mixed water. You may assume that the device operates in steady state, i.e., the height of water in the tank does not vary with time, and that the temperature of water in the device and in the outlet pipe is uniform. The volume flow rate of cold water into the tank is Qc, the volume flow rate of hot water in is QH, and the volume flow rate of water out is Qo. Similarly, the temperature of the cold water is Tc, the temperature of the hot water is T, and the temperature of the water leaving the device is To. The cold water pipe, hot water pipe and outlet pipe have diameters of Dc = 3 cm, D = 5 cm and Do 6 cm, respectively. We can assume that the density is constant, p= 1000 kg/m³. We can also that the enthalpy is linearly proportional to the temperature (reasonably accurate if the temperature differences are not too large). This allows us to say: QcTc+QHTH = QoTo The viscosity of water (u) varies with temperature, and can be approximated as μ = A x 10T-D, where A = 2.414 x 10-5 Pa.s, B = 246.8 °C, D = -133 °C and I' is in degrees Celsius. a) Write a function to determine the volume flow rate out of the vessel (Qo). The inputs should be the flowrates in the inlet pipes (Qc and QH). b) Write a function to determine the temperature of the fluid flowing out of the vessel. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). c) Write a function to determine the viscosity of the water in the outlet pipe. The inputs should be the flowrates and temperatures in the inlet pipes (Qc. QH, Tc and TH). d) The flow in the cold pipe and the outlet pipe is from left to right and the flow in the hot pipe is from right to left. Write a function to determine the horizontal force acting on the device. The inputs should be the flowrates in the inlet pipes (Qc and QH).

A device is used to mix hot and cold water. It has two inlet pipes, carrying hot and cold water, and one outlet pipe that removes the mixed water. You may assume that the device operates in steady state, i.e., the height of water in the tank does not vary with time, and that the temperature of water in the device and in the outlet pipe is uniform. The volume flow rate of cold water into the tank is Qc, the volume flow rate of hot water in is QH, and the volume flow rate of water out is Qo. Similarly, the temperature of the cold water is Tc, the temperature of the hot water is T, and the temperature of the water leaving the device is To. The cold water pipe, hot water pipe and outlet pipe have diameters of Dc = 3 cm, D = 5 cm and Do 6 cm, respectively. We can assume that the density is constant, p= 1000 kg/m³. We can also that the enthalpy is linearly proportional to the temperature (reasonably accurate if the temperature differences are not too large). This allows us to say: QcTc+QHTH = QoTo The viscosity of water (u) varies with temperature, and can be approximated as μ = A x 10T-D, where A = 2.414 x 10-5 Pa.s, B = 246.8 °C, D = -133 °C and I' is in degrees Celsius. a) Write a function to determine the volume flow rate out of the vessel (Qo). The inputs should be the flowrates in the inlet pipes (Qc and QH). b) Write a function to determine the temperature of the fluid flowing out of the vessel. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). c) Write a function to determine the viscosity of the water in the outlet pipe. The inputs should be the flowrates and temperatures in the inlet pipes (Qc. QH, Tc and TH). d) The flow in the cold pipe and the outlet pipe is from left to right and the flow in the hot pipe is from right to left. Write a function to determine the horizontal force acting on the device. The inputs should be the flowrates in the inlet pipes (Qc and QH).

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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Question 2 Qc, Te D₂ Quý Tu A device is used to mix hot and cold water. It has two inlet pipes, carrying hot and cold water, and one outlet pipe that removes the mixed water. You may assume that the device operates in steady state, i.e., the height of water in the tank does not vary with time, and that the temperature of water in the device and in the outlet pipe is uniform. Тон ✓Do The volume flow rate of cold water into the tank is Qc, the volume flow rate of hot water in is QH, and the volume flow rate of water out is Qo. Similarly, the temperature of the cold water is Tc, the temperature of the hot water is TH and the temperature of the water leaving the device is To. The cold water pipe, hot water pipe and outlet pipe have diameters of Dc = 3 cm, DH = 5 cm and Do = 6 cm, respectively. Qo, To We can assume that the density is constant, p = 1000 kg/m³. We can also that the enthalpy is linearly proportional to the temperature (reasonably accurate if the temperature differences are not too large). This allows us to say: QcTc + QHTH = QoTo The viscosity of water (u) varies with temperature, and can be approximated as B μ = AX 10T-D, 10T-D, where A = 2.414 x 10-5 Pa.s, B = 246.8 °C, D = -133 °C and T is in degrees Celsius. a) Write a function to determine the volume flow rate out of the vessel (Qo). The inputs should be the flowrates in the inlet pipes (Qc and QH). Note on units: b) Write a function to determine the temperature of the fluid flowing out of the vessel. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). c) Write a function to determine the viscosity of the water in the outlet pipe. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). d) The flow in the cold pipe and the outlet pipe is from left to right and the flow in the hot pipe is from right to left. Write a function to determine the horizontal force acting on the device. The inputs should be the flowrates in the inlet pipes (Qc and QH). e) Write a function to predict whether the flow in the outlet pipe will become turbulent. Return 1 if the flow is turbulent, and return 0 if the flow is laminar. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). ● f) The outlet pipe is L = 2 m long and smooth, and we may assume the flow in the pipe is fully developed throughout. The friction can be approximated at f = 64/Re if the flow is laminar, and f = 0.079/Re0.25 if the flow is turbulent. Write a function to estimate the pressure drop along the outlet pipe. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). ● To get the correct answer and marks, it is essential that you use the correct units. For all the questions, the inputs and outputs of the functions you write should be as follows: Volume flowrate (Q) should have units of m³/s Temperature (T) should have units of degrees Celsius Force should have units of Newtons. Forces are positive if they point to the right. ● Pressure should have units of Pascals
Transcribed Image Text:Question 2 Qc, Te D₂ Quý Tu A device is used to mix hot and cold water. It has two inlet pipes, carrying hot and cold water, and one outlet pipe that removes the mixed water. You may assume that the device operates in steady state, i.e., the height of water in the tank does not vary with time, and that the temperature of water in the device and in the outlet pipe is uniform. Тон ✓Do The volume flow rate of cold water into the tank is Qc, the volume flow rate of hot water in is QH, and the volume flow rate of water out is Qo. Similarly, the temperature of the cold water is Tc, the temperature of the hot water is TH and the temperature of the water leaving the device is To. The cold water pipe, hot water pipe and outlet pipe have diameters of Dc = 3 cm, DH = 5 cm and Do = 6 cm, respectively. Qo, To We can assume that the density is constant, p = 1000 kg/m³. We can also that the enthalpy is linearly proportional to the temperature (reasonably accurate if the temperature differences are not too large). This allows us to say: QcTc + QHTH = QoTo The viscosity of water (u) varies with temperature, and can be approximated as B μ = AX 10T-D, 10T-D, where A = 2.414 x 10-5 Pa.s, B = 246.8 °C, D = -133 °C and T is in degrees Celsius. a) Write a function to determine the volume flow rate out of the vessel (Qo). The inputs should be the flowrates in the inlet pipes (Qc and QH). Note on units: b) Write a function to determine the temperature of the fluid flowing out of the vessel. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). c) Write a function to determine the viscosity of the water in the outlet pipe. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). d) The flow in the cold pipe and the outlet pipe is from left to right and the flow in the hot pipe is from right to left. Write a function to determine the horizontal force acting on the device. The inputs should be the flowrates in the inlet pipes (Qc and QH). e) Write a function to predict whether the flow in the outlet pipe will become turbulent. Return 1 if the flow is turbulent, and return 0 if the flow is laminar. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). ● f) The outlet pipe is L = 2 m long and smooth, and we may assume the flow in the pipe is fully developed throughout. The friction can be approximated at f = 64/Re if the flow is laminar, and f = 0.079/Re0.25 if the flow is turbulent. Write a function to estimate the pressure drop along the outlet pipe. The inputs should be the flowrates and temperatures in the inlet pipes (Qc, QH, Tc and TH). ● To get the correct answer and marks, it is essential that you use the correct units. For all the questions, the inputs and outputs of the functions you write should be as follows: Volume flowrate (Q) should have units of m³/s Temperature (T) should have units of degrees Celsius Force should have units of Newtons. Forces are positive if they point to the right. ● Pressure should have units of Pascals
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