hat is the definition of "Reynolds Averaging"? 21. Derive the Reynolds Averaged equation for j-momentum uuu...
Determine the Reynolds-averaged x-momentum equation in Cartesian
coordinates starting from the equation provided.
Du Dt ax o
Du Dt ax o
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...
5. One of the simplest ways to recapture the Reynolds stress is to time-average the conservation form of the axial momentum equation in Cartesian coordinates. (a) Start by expanding (xial momentum in conservation form) Then using the continuity equation, show that the result is identical to the traditional form: +1, (steady, incompressible, axial momentum form) (b) By substituting the Reynolds decomposed variables, u +,p-p+p', into the conservation form, time-averaging, cancelling terms that average out, and assuming that streamwise variations in...
Derive the additional terms from the time averaging process of the navier stokes equation equations.
d chapter o, pp. 62-66 Starting with the time dependent 2-D laminar boundary layer momentum equation in conservative form, develop the Reynolds averaged momentum equation for a turbulent boundary layer.
5. Starting from the definition of chemical potential for multi-components, please derive hat G'(P, T, N)-Σ μ(P, T, N) N
5. Starting from the definition of chemical potential for multi-components, please derive hat G'(P, T, N)-Σ μ(P, T, N) N
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...
Bernoulli equation. The Bernoulli equation is a special case of conservation of linear momentum law of conservation of energy) for steady frictionless flow. This equation can be arrived at in three different ways. The usual form of the Bernoulli equation is: 1. pv2 + P + ?9z-constant a) For frictionless flow at steady state, Euler's equation of conservation of linear momentum reduces to: Starting from this equation, derive the Bernoulli equation. Assume irrotational flow. Derive the Bernoulli equation using the...
2. Use the scale analysis to derive momentum equation and energy equation of boundary layer under an external forced convection, and then determine the order pf magnitude of the ratio of thermal boundary layer thickness to hydrodynamic boundary layer thickness
Derive the momentum and energy equation for unsteady quasi one dimensional flow. Express these in terms of non dimensional variables and suggest a method for its numerical solution