Reynold’s Transport Theorem (RTT)
Appl Reynold’s Transport Theorem and Develop equation for the following:
i. Conservation of Mass. [10]
ii. The Linear Momentum Equation. [10]
iii. One dimensional Steady Flow through a pipe having one inlet and one outlet. [10]
iv. Flow through a pipe system as shown in Figure.
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pls write down clearly thanks QUESTION 2 From the Reynolds Transport Theorem equation, derive the momentum equation...
pls
write down clearly thanks
QUESTION 2 From the Reynolds Transport Theorem equation, derive the momentum equation for steady, (a) incompressible flow. 3 marks) The nozzle shown in Figure Q2 is in horizontal plane has an inlet area of 0.002 m2 and an (b) outlet area of 0.0005 m2. The inlet gage pressure is 300 kPa and the outlet gage pressure is 200 kPa. Calculate the horizontal and vertical forces on the nozzle in term of flow rate. [6 marks...
Problem 3 To the right is a picture of a pipe system which is held in...
Problem 3 To the right is a picture of a pipe system which is held in place by two reaction forces, R and R,. A liquid enters at an inlet with a known flow rate, Qin. A It exits through two outlets; the conditions between the inlet and the two outlets are symmetric (i.e. the flow rates at the outlets are identical). The inlet and the outlets are at atmospheric pressure, and you may assume steady state and 1D flux...
To understand how the linear momentum equation is derived from Reynolds transport theorem and to ...
Please answer part c this question has been posted previously
was given the wrong answer
To understand how the linear momentum equation is derived from Reynolds transport theorem and to use the equation to calculate forces. The Reynolds transport theorem(DNDt)syst-aatJcvηρdVtfcsqpVdA relates the change in an extensive quantity N for a system of Lagrangian particles (the left side) to the changes in an intensive quantity η:nm, where m is the mass of the system, in a Eulerian control volume that initially...
e) Write down: i) the equation for mass conservation for an incompressible fluid flowing through a...
e) Write down: i) the equation for mass conservation for an incompressible fluid flowing through a tube of varying diameter, and ii) Bernoulli's equation. iii) Water is supplied to a house through an inlet pipe having an internal diameter of 40 mm. A pipe of internal diameter 20 mm delivers water to an upper level, 5.5 m above the inlet pipe at a rate of 4 L/min. and a pressure of 2 atm. Calculate the pressure of the water at...
Q2 Water flows at a rate of 0.08 m''min through a flanged tap with a partially closed gate valve ...
Q2 Water flows at a rate of 0.08 m''min through a flanged tap with a partially closed gate valve spigot (Fig. Q2). The inner diameter of the pipe at the inlet and outlet is 2 cm and 1.5 cm respectively, and the gauge pressure of the water at inlet is measured to be 90 kPa. The pressure at outlet from the tap is atmospheric. The total mass of the tap assembly plus the water within it is 5.8 kg. (a)...
True (T) or false (F) statements (10/100). i. The Reynolds Transport Theorem is a general equation...
True (T) or false (F) statements (10/100). i. The Reynolds Transport Theorem is a general equation valid for steady, insteady, uniform non-uniform, compressible and incompressible flows. ii. If the temperature of a fluid increases then its viscosity decreases iii. Unlike the Bernoulli equation, Euler's equation applies to both the steady and unsteady flows iv. Under non-uniform steady-state conditions, the piezometric pressure approaches the stagnation pressure in the areas with higher velocity. v. Physical behavior of liquids differs from solids in...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet...
A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet pressure are 110 and 300 kPa respectively. The mass flow rate is 3 kg/sec. The inlet pipe is 1 inch diameter and outlet pipe is 0.5 inch. Neglect elevation difference and internal energy changes across inlet and outlet. a) Culculate velocity İf water at inlet and outlet(5) b) Choose a suitable control volume, and write down and expression for conservation of energy applicable to...
CHE 3315 FLUID MECHANICS PROBLEM SHEET 5: MASS CONSERVATION AND FLOW RATE 1. Determine the mass...
CHE 3315 FLUID MECHANICS PROBLEM SHEET 5: MASS CONSERVATION AND FLOW RATE 1. Determine the mass flow rate of air having a temperature of 20C and gauge pressure 80 kPa as it flows through a circular duct 400 mm in diameter with an average velocity of 3 m/s. The gas specific constant R 286.9 JK /kg 2. Determine the average velocity of the steady flow at one outlet of a T- junction if the inlet flow speed is 6 m/s...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
pls
write down clearly thanks
QUESTION 2 From the Reynolds Transport Theorem equation, derive the momentum equation for steady, (a) incompressible flow. 3 marks) The nozzle shown in Figure Q2 is in horizontal plane has an inlet area of 0.002 m2 and an (b) outlet area of 0.0005 m2. The inlet gage pressure is 300 kPa and the outlet gage pressure is 200 kPa. Calculate the horizontal and vertical forces on the nozzle in term of flow rate. [6 marks...
Problem 3 To the right is a picture of a pipe system which is held in place by two reaction forces, R and R,. A liquid enters at an inlet with a known flow rate, Qin. A It exits through two outlets; the conditions between the inlet and the two outlets are symmetric (i.e. the flow rates at the outlets are identical). The inlet and the outlets are at atmospheric pressure, and you may assume steady state and 1D flux...
Please answer part c this question has been posted previously
was given the wrong answer
To understand how the linear momentum equation is derived from Reynolds transport theorem and to use the equation to calculate forces. The Reynolds transport theorem(DNDt)syst-aatJcvηρdVtfcsqpVdA relates the change in an extensive quantity N for a system of Lagrangian particles (the left side) to the changes in an intensive quantity η:nm, where m is the mass of the system, in a Eulerian control volume that initially...
e) Write down: i) the equation for mass conservation for an incompressible fluid flowing through a tube of varying diameter, and ii) Bernoulli's equation. iii) Water is supplied to a house through an inlet pipe having an internal diameter of 40 mm. A pipe of internal diameter 20 mm delivers water to an upper level, 5.5 m above the inlet pipe at a rate of 4 L/min. and a pressure of 2 atm. Calculate the pressure of the water at...
Q2 Water flows at a rate of 0.08 m''min through a flanged tap with a partially closed gate valve spigot (Fig. Q2). The inner diameter of the pipe at the inlet and outlet is 2 cm and 1.5 cm respectively, and the gauge pressure of the water at inlet is measured to be 90 kPa. The pressure at outlet from the tap is atmospheric. The total mass of the tap assembly plus the water within it is 5.8 kg. (a)...
True (T) or false (F) statements (10/100). i. The Reynolds Transport Theorem is a general equation valid for steady, insteady, uniform non-uniform, compressible and incompressible flows. ii. If the temperature of a fluid increases then its viscosity decreases iii. Unlike the Bernoulli equation, Euler's equation applies to both the steady and unsteady flows iv. Under non-uniform steady-state conditions, the piezometric pressure approaches the stagnation pressure in the areas with higher velocity. v. Physical behavior of liquids differs from solids in...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
A pump generates high pressure water as indicated in fig 3. The Inlet pressure and outlet pressure are 110 and 300 kPa respectively. The mass flow rate is 3 kg/sec. The inlet pipe is 1 inch diameter and outlet pipe is 0.5 inch. Neglect elevation difference and internal energy changes across inlet and outlet. a) Culculate velocity İf water at inlet and outlet(5) b) Choose a suitable control volume, and write down and expression for conservation of energy applicable to...
CHE 3315 FLUID MECHANICS PROBLEM SHEET 5: MASS CONSERVATION AND FLOW RATE 1. Determine the mass flow rate of air having a temperature of 20C and gauge pressure 80 kPa as it flows through a circular duct 400 mm in diameter with an average velocity of 3 m/s. The gas specific constant R 286.9 JK /kg 2. Determine the average velocity of the steady flow at one outlet of a T- junction if the inlet flow speed is 6 m/s...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
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