An incompressible fluid of density and viscosity
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Fluid Mechanics: Fundamentals and Applications
- 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 ( ). Perform dimensional analysis and determine the function in terms of dimensionless parameters.arrow_forward338 B/s O 1: 56% E 3:01 Question: Gasoline is flowing through this 180° pipe bend. The pipe cross-sectional area is 18 in?. Take the pipe weight as 5 Kg. Flow rate is 0.5 liters/s. Pressure at section-1 6 psia, pressure at section-2 is 4 psia. Calculate the anchoring force required to hold this pipe and also show its direction, referenced to proper 2-dimensional a cartesian coordinate system. (2 1arrow_forwardAn 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 103arrow_forward
- Take the full-blown Couette flow as shown in the figure. While the upper plate is moving and the Lower Plate is constant, flow occurs between two infinitely parallel plates separated by the H distance. The flow is constant, uncompressed, and two-dimensional in the X-Y plane. In fluid viscosity µ, top plate velocity V, distance h, fluid density ρ, and distance y, create a dimensionless relationship for component X of fluid velocity using the method of repeating variables. Show all steps in order.arrow_forwardLaminar Flow in a Vertical Cylindrical Annulus Derive the equation for steady-state laminar flow inside the annulus between two concentric vertical pipes. This type of flow occurs often in concentric pipe heat exchangers. max velocity profilearrow_forwardTake the densilty and pressure values at 7km, and then apply Bernoulli equation. I think this is the method to solve the problem,If there any you can proceed with that. Please do it fast ,Very urgent. Question 1: . Consider an airplane flying at a standard altitude of 7 km with a velocity of 300 m/s. At a point on the wing of the airplane, the velocity is 400 m/s. Calculate the pressure at this point.arrow_forward
- At a point in a pipe that lay flat ノ water in the pipe flows at a speed of 9.0 mls and has 6-40x 104 Pa a gaoge pressure is Find the gauge pressure at point 2 of pipe that lower than the first point 8.0 m and the cvoss - se ctional| area of the pipe is double of first point . Answer [1.52x105 Pa]arrow_forwardFind the velocity in the center, and velocity profile for giving system : p = 1000| kg/m' , µ= 0.03 *10* pa. , ū = 0.92 m/s , d= 0.28 m ? (Hi expertises this question is from Mechanical fluid.) I need answer quickly.arrow_forwardWhen a person ice skates, the surface of the ice actuallymelts beneath the blades, so that he or she skates on a thinsheet of water between the blade and the ice.( a ) Find an expression for total friction force on the bottomof the blade as a function of skater velocity V , bladelength L , water thickness (between the blade and theice) h , water viscosity μ , and blade width W .( b ) Suppose an ice skater of total mass m is skatingalong at a constant speed of V 0 when she suddenlystands stiff with her skates pointed directly forward,allowing herself to coast to a stop. Neglecting frictiondue to air resistance, how far will she travelbefore she comes to a stop? (Remember, she iscoasting on two skate blades.) Give your answer forthe total distance traveled, x , as a function of V 0 , m ,L , h , μ , and W .( c ) Find x for the case where V 0 = 4.0 m/s, m = 100 kg,L = 30 cm, W = 5.0 mm, and h = 0.10 mm. Do youthink our assumption of negligible air resistance is agood one?arrow_forward
- As can often be seen in a kitchen sink when the faucet isrunning, a high-speed channel fl ow ( V 1 , h 1 ) may “jump” toa low-speed, low-energy condition ( V 2 , h 2 ) as in Fig. . The pressure at sections 1 and 2 is approximately hydrostatic,and wall friction is negligible. Use the continuity andmomentum relations to fi nd h 2 and V 2 in terms of ( h 1 , V 1 ).arrow_forwardQ3/The open tank in the figure contains water at 20°C and is being filled through section 1. Assume incompressible flow. First derive an analytic expression for the water-level change dh/dt in terms of arbitrary volume flows (Q1, Q2, Q3) and tank diameter d. Then, if the water level h is constant, determine the exit velocity V2 for the given data Vi is 3 m/s and Q3 is 0.01 m³/s. I =0.01 m/s 2. D, = 5 cm D=7 cm Waterarrow_forwardHello sir Muttalibi is a step solution in detailing mathematics the same as an existing step solution EXAMPLE 6-1 Momentum-Flux Correction Factor for Laminar Pipe Flow CV Vavg Consider laminar flow through a very long straight section of round pipe. It is shown in Chap. 8 that the velocity profile through a cross-sectional area of the pipe is parabolic (Fig. 6-15), with the axial velocity component given by r4 V R V = 2V 1 avg R2 (1) where R is the radius of the inner wall of the pipe and Vavg is the average velocity. Calculate the momentum-flux correction factor through a cross sec- tion of the pipe for the case in which the pipe flow represents an outlet of the control volume, as sketched in Fig. 6-15. Assumptions 1 The flow is incompressible and steady. 2 The control volume slices through the pipe normal to the pipe axis, as sketched in Fig. 6-15. Analysis We substitute the given velocity profile for V in Eq. 6-24 and inte- grate, noting that dA, = 2ar dr, FIGURE 6–15 %3D Velocity…arrow_forward
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