4. (a) (i) Write down the steady-flow energy equation for low-speed incompressible flow, and explain in...
Consider an incompressible inviscid fluid: a) Write Bernoulli's equation for the fluid. b) Write the energy equation for the same fluid. c) Express the difference between the two equations in terms of heat and internal energy, explaining the meaning of the individual components of this difference. d) Compare the two equations and discuss when the energy equation for an incompressible inviscid flow reduced to Bernoulli's equation.
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...
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...
Question B3 (25 Marks Write down a mathematical expression for the First Law of Thermodynamics as applied to steady state, steady flow process, explaining clearly the notation and sign conventions used. (5 marks) Consider steady state, steady flow of steam through a turbine used for electricity generation. You may assume that the process is adiabatic. The steam inlet and exit conditions are; Inlet Exit 15.0 0.01 Pressure (MPa) TemperatureC Velocity (m/s 500 40 80 Fraction 0.92 P, 15.0 MPa T,-500C...
Name the three conservation laws that are used to analyse the flow of fluids. Write down the equation for each of these laws defining all symbols used. (a) Name the three conservation laws that are used to analyse the flow of fluids. Write down the equation for each of these laws defining all symbols used. (a)
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
a. Write general form of conservation of energy equation for an open system and explain each term (5 points) b. Write general form of conservation of momentum equation for an open system and explain each term (5points) c. How do we define "flow work" and why is it important? (5points)
Question 4: (i) Write down the form of the Bose-Einstein distribution and discuss the phenomenon of Bose-Einstein condensation for a boson gas in three dimensions. In particular, carefully explain why the chemical potential becomes very close to the energy of the lowest single- particle state at sufficiently low temperature and describe how that changes the usual approach of replacing a discrete sum over energies with a continuum integral. Discuss how the occupation of the lowest single-particle state changes as a...
Please attempt the FULL QUESTION Question 4 For pressure-driven laminar flow between two horizontal infinite parallel plates separated by a distance 2h, the velocity components are: v = 0 where U is the centreline velocity and the x-axis is located at the centreline. Assume steady, fully developed and incompressible laminar flow. For the problem above, obtain the final form of the energy equation after applying the given assumptions. (10 marks) b) Identify the fluid temperature distribution T(y), for a constant...
I will give rating for the complete answer ? Tubulent kinetic energy equation (k-equation) for non-buoyant high Reynolds number: ak --utensions (-) dudul Ох, Ох, Eq. 3.1 (a) Explain what each term represents in Eq. 3.1. (15 marks) (6) Write the modelled form of the k-equation, indicating which terms are being modelled (10 marks)