Steady flow occurs when (A) Pressure does not change along the flow (B) Velocity does not change (C) Conditions change gradually with time (D) Conditions do not change with time at any point
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- A fixed control volume has three one-dimensional boundary sections, as shown. The flow within the control volume is steady. The flow properties at each section are tabulated below. Find the rate of change of energy of the system which occupies the control volume at this instant. Section Туре P. kg/m V, m/s A, m? e, J/kg 1 Inlet 800 5.0 2.0 300 Inlet 800 8.0 3.0 100 3 Outlet 800 17.0 2.0 150 CVQA An incompressible fluid (kinematic viscosity, 7.4 x10-7 m2/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is (a) 0.651 x 10-3 (c) 6.51 (b) 0.651 (d) 0.651 x 103The velocity is changed from 34.3 m/s to 53.7 m/s in 2.2 s for a fluid of mass 5.2 kg. Then the force applied on the fluid is -_N 3.70 4353.61 208.00 45.85
- Answer with True or False of the following question: (7M 1. Water flows steadily down a vertical pipe of constant cross section. Neglecting friction, according to Bernoulli's equation, velocity decreases with height. 2. A liquid in an open right circular cylinder is given rigid body rotation about the axis of the cylinder. The pressure distribution in any vertical plane is uniform. 3. A curved surface is submerged in a static liquid. The horizontal component of pressure force on it is equal to the pressure force on a vertical projection of the surface. 4. A U-tube manometer measures the difference in total energy between two points.2. A storage contains liquid at depth y where y-0 when the tank is half full, as shown below. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Qsin2(t). The storage tank has a diameter D=5m. a. Beginning from conservation of mass, formulate an equation for the change in dV TD2 depth of water as a function of time. Hint: dt din - 9out and V = 4 b. Use Euler's method to solve for the depth y, show the iterative equation for the Euler's method, and use Q=5 m3/s to complete the table below: t (s) y (m) 0.5 1.0A Newtonian fluid flows in the annular space created by a concentric pipe and rod moving to the right at a constant velocity V (this could be the configuration of a wire coating process). The flow is the result of the shear stress created by the moving rod. The flow is steady and incompressible. Assume u, is only a function of r, both u, and ue (as well as their derivatives) are zero, the pipe is horizontal, and the pressure gradient in the z direction is constant. Derive an expression for the velocity profile uz as a function of r. Note: R, is the inside radius of the outer pipe and R; is the radius of the moving rod. R. R; V
- A liquid of density 1150 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.47 m/s and the pipe diameter d1 is 11.7 cm. At Location 2, the pipe diameter d2 is 17.7 cm. At Location 1, the pipe is Ay=8.19 m higher than it is at Location 2. Ignoring viscosity, calculate the difference APbetween the fluid pressure at Location 2 and the fluid pressure at Location 1.Fluid Mechanics a thin plate is separated from two fixed plates by very viscous liquids μ1 =0.10 pa.S and μ2 = 0.5 Pa.s respectively. the spacings between the center nplate and fixed plate are also hi = 16 cm and h2 = 11 cm, while the contact area between the center plate and each fluid is A= 340 cm^2. Assuming a linear velocity distribution in each fluid, determine the force F(in newton) required to pull the plate at velocity V=3.5 m/s.An oil film drains steadily down the side of a vertical wall, as shown on figure below. After an initial development at the top of the wall it attains a fully-developed draining vertical oil- film wherein the film becomes independent of "z" and of constant wall thickness. Let the vertical velocity as (w) and using the nomenclatures in the figure such as distance from plate (x), fluid properties, gravity (g) and film thickness ( 6 ). Oil film Air P, H Perform dimensional analysis and determine the function in terms of dimensionless parameters.
- If you are not sure pass it. I dont want wrong answers, hand written solution is also fine but wrong answer i will report. A body of mass 5 kg is projected vertically upward with an initial velocity 17 meters per second. The gravitational constant is 9.8 m/s2. The air resistance is equal to k|v| where k is a constant. (1)Find a formula for the velocity at any time v(t) in terms of k. (2)Find the limit of this velocity for a fixed time (t0) as the air resistance coefficient k goes to zero.A viscous fluid of density 1200 kg/m3 and viscosity 0.9 Pa.s is confined in a spacing of 0,01 m between two parallel and horizontal plates of length 0,6 m and width 0,6 m. The upper plate is pulled with a uniform and steady speed of 0,7 m/s in its own plane. The lower plate is stationary. Viscous fluid flow is laminar steady and incompressible. a) What is the magnitude of mass flow rate in spacing (in kg/s)? b) What is the magnitude of maximum shearing stress in the flow field (in Pa)? c) What is the frictional force over the lower plate surface (in N )? d) What is the frictional power lost in pulling the upper plate (in W)?Q: Consider the unsteady mass conservation equation (1.5) as it might describe the flow accelerating through a duct with a variable cross section. If the largest velocity gradient measured locally is du/dx and the largest density gradient is dpldx, what order-of-magnitude relationship must exist between du/dx and dpldx for the simplified equation (1.8) to be applicable? ap ap +p ax ap ap du av Hint 1: aw + = 0 az +u at ax (1.5) + v. +w. ду az ду du aw Hint 2: ax (1.8) ду