Let a fluid with defined with the next equationWhere: f = f₁-f₂ + FGSo we haveAnd then, minimum force isdm(1)dt+Let G = x(r) (position function) → FG = PG-₂dm(apapax' dyOG OG OGopdv = favappdv [de] + VpdV = (f + pVG)dV(gravity force)dvFGfm = p[dr] + Vp-pVGProve the Bernoulli's equation with the given equations1 ²+8= 12 + 1/2 PU²3 +1(2)

To prove the Bernouli equation from the set of equations with the given body havingheight (h1 =h2)

Answered: Prove the Bernoulli's equation with the…

Engineering

Mechanical Engineering

Prove the Bernoulli's equation with the given equations 1 1 pv + P₁ = P₂ + pv ↔ h₁ = h₂

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: An inventor claims to have devised a refrigeration cycle operating between hot and cold reservoirs…

A: Given data:- Temperature of hot reservoirs = 30 K Temperature of cold…

Q: Calculate the work (in kJ) when substance initially at 95 kPa, 19 m³ is expanded against a linear…

A: Given:Initial pressure (P1) = 95 kPaInitial volume (V1) = 19 m3Final pressure (P2) = 245 kPaFinal…

Q: A certain two f dA = 9 in² fæ dA = 27 in3 SydA = 18 in³ S x² dA = 54 in 4 faydA = 49.5 in 4 fy² dA =…

Q: -1 m Cable Hinge A water trough of semi-circular cross section of radius 0.5 m consists of two…

A: Diameter = 1.2 mwidth of the plate = 3 mmethod of solving:First. we divide the semicircle into…

Q: The system shown consists of a rod, a spring, a tube, and a fixed base. Polymer rod (1) is attached…

Q: 4. The bars of the truss below each are made of 2 in. diameter rods. If the maximum average normal…

A: Diameter of rod, d = 2 inmaximum average normal stress = 30 ksi

Q: The set of concurrent forces F₁ = 50 N, F₂ = 50 N, and F3 60 N are applied at particle A. The angles…

A: Given:To find:Resultant of the forces at A.

Q: A coin of mass m is left at the edge of a rotating disk, a distance r from the center. The disk is…

A: mass of coin = m radial location of coin r = 2 mfriction coefficient between coin and disk

Q: VA = VB= IM i ft/sec, A= ft/sec, 08- i i 0 0

A: To determine the values of angles and final velocity for sphere Aweight, m1, 31 lb = 14.06…

Q: 3-33. If the spring on rope OB has been stretched 2 in. and fixed in place as shown, determine the…

A: From the given diagram,Stretched length of spring, x = 2 inSpring Constant, k = 20 lb/inCo-ordinates…

Q: Figure below gives the schematic of a vapor power plant in which water steadily circulates through…

Q: For the linkage in Figure P4-8, find its limit (toggle) positions in terms of the angle of link 0₂A…

Q: request to I don't canc

Q: An RTD forms one arm of a Wheatstone bridge, as shown in picture. The RTD is used to measure a…

A: Given data:

Q: = The cross-section of a wooden, built-up beam is shown below. The dimensions are L w = 20 mm.…

Q: Link 4 moves to the right with constant velocity of 75 ft/s. Using the graphical method, find VB,…

Q: Problem 17.127: Circular fins of uniform cross section, with diameter of 10 mm and length of 50 mm,…

Q: how does the angle alpha make the angle with t

A: This question is based on the concept of force and Free body diagram

Q: Vectors represent magnitude and direction. We can solve for either: • The magnitude & direction of…

A: Given:To find:Magnitudes of E and F vectors.

Q: The wheel in the mechanism below rolls without slipping, and when in the indi- cated position it has…

A: The angular velocity of disc is The angular acceleration of disc

Q: A pump is operated is 3 hp with an efficiency of 65% which is able to deliver water 100 gal/min flow…

Q: Determine the vertical displacement of point B. Each A-36 steel member has a cross- sectional area…

A: Given,A = 400 mm2E = 200 GPa

Q: Analytically determine the linear displacement of the stamp in the mechanism shown below as the…

Q: 4.32 Calculate the reactions at each support for the beam shown. Neglect the weight of the beam.…

A: To determine:Reaction at A and B

Q: A winch, located at M, pulls box A up an incline with a cable. The distance from the box to the…

Q: O₁ and O₂ are the fixed link in the mechanism which is 3.25" away from each other in a vertical…

A: To Find:The velocity of the slider C when the position of the crank is Given:

Q: (3) The cantilever bar as shown on next page is made of a brittle material. At D, F-300 lb, EF-250…

A: Given data :Material of cantilever Bar= Cast iron (Brittle Material)At D: Fx= 300 lb, Fy= 250 lb,…

Q: 3. The uniform L-shaped bar pivots freely at point P of the slider, which moves along the horizontal…

A: Let the total mass of the L-shaped bar be 'm'. The weight acting on the different points of the bar…

Q: a. Inlet, constant area test section with no diffuser b. Inlet, constant area test section with a…

Q: Figure 6-99. Draw the object using a 3-view orthographic projection.

A: Draw the object using a 3-view orthographic projection.

Q: 3) A 10 kN-m torque, T, and a 50 kN axial load, F, are applied to the end of an aluminum 6063 tank…

Q: Air enters the compressor of an ideal gas refrigeration cycle at 17°C and 35 kPa and the turbine at…

Q: Determine the buckling strength of a W 12 x 50 column with a length of 25 ft. For the major axis…

A: Given Data:Column type: W12x50 (wide flange section)Column length (L) = 25 ftMajor axis (x) - Pinned…

Q: The 2D truss shown in the figure below is loaded with two forces F₁ = 40 N and F₂ = 50 N. Compute…

Q: The part shown is formed from a 1/8 - in diameter steel wire, with R = 2.5 in and l = 2 in. A force…

Q: Consider the beam and loading shown in the figure below. The beam has a flexural rigidity of El over…

A: Flexural rigidity for AC= EIFlexural rigidity for BC=c2EIThe objective is to determine:a) reactions…

Q: Two 13-kg uniform bars are connected to form the linkage shown. Neglecting the effect of friction,…

A: L = 0.6 mm = 13 kgFInd the reaction at D

Q: Estimate the load in the hooks and chains supporting the light fixture. Density values Pine : 420…

A: Given data:Density of Pine = 420 kg/m3 = (420/16.018) = 26.22 lb/ft3Density of Steel = 7850 kg/m3 =…

Q: 3. A steel plate of area 100 cm² steel is undergoing a corrosion process resulting in a weight…

A: To calculate equivalent current densitygiven, area of the steel plate, weight change

Q: I was going over the equations for the notes in class and I had a thought. Based on the equations in…

A: Given:To find:Correct expression for propellant mass.

Q: To raise a load weighing 200 kg to a level of 1.5 m. A traction force of 200 N is required.…

Q: -400mm- 300 mm find acceleration at point on rim of the wheel. 4rad/s = a

Q: We are offered some pipes made of a new kind of plastic. To test their roughness, we pump water…

Q: 2. A ladder of length b rests against a vertical wall (Figure below). The base of the ladder is…

A: Therefore, the mid-point 'M' of the ladder describes the arc of a circle of radius b/2 with the…

Q: If the bending moment is 18 kN m, determine the bending stress at points A and B

Q: 4) An aluminum alloy bar has a circular cross section of 20 mm diameter, length 120 mm and shear…

Q: 06. The resultant R of the concurrent forces F, T, and Q acting on the screw eye has the magnitude…

A: The resultant R of the concurrent forces F, T, and Q acting on the screw eye has the magnitude and…

Q: Each production process has certain potentials as well as certain limitations. You will need to…

A: The objective of this discussion is to identify and explain three main limitations and three main…

Q: A pure substance is matter that always has teh same composition that ________. Is fixed in a…

A: Is fixed in a definite proportion at all time.

Q: Determine the unit vector normal to the plane when A and Bare equal to (10)i + (11)j (5)k and 9i-…

A: Given:To find:The unit vector normal to the plane.The unit vector normal to the plane.

Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

Let a fluid with defined with the next equation
Where: f = f₁-f₂ + FG
So we have
And then, minimum force is
dm
(1)
dt
+
Let G = x(r) (position function) → FG = PG-₂
dm
(ap
ap
ax' dy
OG OG OG
opdv = fav
ap
pdv [de] + VpdV = (f + pVG)dV
(gravity force)
dv
FG
fm = p[dr] + Vp-pVG
Prove the Bernoulli's equation with the given equations
1 ²+8= 12 + 1/2 PU²3 +1
(2)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: bernouli's theorem proof

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Dimensional Analysis and Hydraulic Similitude (fluid mechanics) 1. Water at 60F at 12 ft/s in a 6-in. pipe. (a) For dynamic similarity, determine the velocity of medium fuel oil at 90F flowing in a 12-in. pipe. (b) Determine the diameter of the pipe that should be used if a medium lubricating oil at 70oF if flowing at a velocity of 50 ft/s. find the: a. velocity : ____________________ fps b. diameter : ____________________ in.
AL-Gburi, [03.05.21 00:59]An ideal gas flows axially (x-direction) between parallel plates. Assume: Newtonian fluid, steady state, constant viscosity, constant conductivity, negligible gravity, and parallel stream- lines. Write the energy equation for this flow
The terminal velocity of a sphere (maximum drop velocity) depends on sphere diameter (D), sphere density (ρs), fluid density (ρf), fluid viscosity (μ) and acceleration due to gravity (g). By using Buckingham π-Theorem, create a nondimensional form for the terminal velocity. Show all the steps and calc
Fluid Dynamics. A 1:400 scale model is constructed to study tides. What length of time, in hours, in the model corresponds to a day in the prototype?
If the given Pi is 3.14159 Capillary tube: radius = 0.02 cm; length = 9 cm; pressure = 0.7 mmHg Liquid sample: density = 4 ml; time of flow = 4.5 seconds What is the pressure in MKS unit and CGS unit? What is its viscosity? If the weight is 8.5 g, what is its density? What is its kinematic viscosity? What is its fluidity?
An incompressible Newtonian liquid is confined between two concentric circular cylinders of infinite length— a solid inner cylinder of radius Ri and a hollow, stationary outer cylinder of radius Ro. The inner cylinder be stationary and the outer cylinder rotate at angular velocity ?o. Generate an exact solution for u?(r) using the step-by-step . The flow is steady, laminar, and two-dimensional in the r?-plane. The flow is also rotationally symmetric, meaning that nothing is a function of coordinate ? (u? and P are functions of radius r only). The flow is also circular, meaning that velocity component ur = 0 everywhere. Generate an exact expression for velocity component u? as a function of radius r and the other parameters in the problem. You may ignore gravity.
The Ekman number, Ek, arises in geophysical fluiddynamics. It is a dimensionless parameter combining seawaterdensity ρ , a characteristic length L , seawaterviscosity μ , and the Coriolis frequency Ω sin φ , where Ωis the rotation rate of the earth and φ is the latitude angle.Determine the correct form of Ek if the viscosity is in thenumerator.
If you disturb a tank of length L and water depth h , thesurface will oscillate back and forth at frequency Ω ,assumed here to depend also upon water density ρ and theacceleration of gravity g . ( a ) Rewrite this as a dimensionlessfunction. ( b ) If a tank of water sloshes at 2.0 Hz onearth, how fast would it oscillate on Mars ( g ≈ 3.7 m/s 2 )?
Let us model a certain cargo ship as a rectangular prism with length (100 m) and width (20 m). Also, let us useρw= 1 g/cm3as the density of water. (a) If the waterline comes up (2 m) from the bottom of the boat when empty of cargo, how much does the boat weigh (in Newtons)? (b) If 400,000 metric tonnes of cargo are added to the ship, how far below the waterline will the bottom of the boat be?
Consider the pressure Drop depends on: @ characterstic lugth I 2 density ℗ gravity g speed of sound с angular velocity w surface tension Velocity of fluid V Viscosity of fluid write an expression of the pressu drop ?
Here are these questions if I could get help with themIf a spherical storage tank holds 40,000 gallons (120,000 liters) of water,what diameter must it have?If a cylindrical storage tank has a 40-foot (12 m) diameter circular 05::=how high must it be to hold 1 million gallons (3 million liters)?If water is moving at a rate of 3.2 ft3/sec (90,000 cc/sec), how manygallons (liters) per minute is this?If the specific gravity of gold is 19.0. what is the weight of a cubic inch(cubic centimeter) of gold? A cubic foot (cubic meter)?
An important parameter in fluid flow problems involving thin films is the Weber number (We) which can be expressed in equation form as We=[pv^2L/(omega)] where p is the density of the fluid, v is a velocity, L is a length, and (omega) is the surface tension of the fluid. If the Weber number is dimensionless, what are the dimensions of the surface tension (omega)?