hz constant y, v + X, u P.H Belt

Q: You bought a box of orange juice, let’s say 0.5 L, and you want to serve it into cups. But you…

A: In this problem, we will discuss the basic principle of fluid mechanics and projectile motion. The…

Q: Air (kinematic viscosity, v = 1.79 × 10 m?/s at 50°C) with a speed of 12 m/s and Water (u = 1.14 x…

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Q: A constant-thickness film of viscous liquid (SG = 0.8, μ = 0.5 Pa-s) flows down an inclined plate an…

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Q: A prototype submarine moves at velocity V, in fresh water at 20 °C, at a 2-m depth, where ambient…

A: Given    Depth, h = 2 m Pressure, P = 128 kPa Cavitation number, Ca = 0.25 Find   Velocity, v

Q: In elementary compressible fl ow theory , compressedair will exhaust from a small hole in a tank at…

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Q: For cases shown in fig.Q2. Describe and discuss the fluid flow properties for each case separately.…

A: Flow of fluid:The fluid flows from one point to another by pressure difference. The fluid flows from…

Q: An oil drop has a density (?1 ) of (560+R) kg/m3 . The terminal velocity of a spherical drop of this…

A: Given data ρ0=560+R kg/m3VT=15+R ×10-2 m/sμ=18×10-6  pa·sec

Q: A circular cylinder is fitted with two surface-mounted pressuresensors, to measure pa at θ = 1808…

A: Given data: Pressure at A, θ =180° Pressure at B, θ =105°

Q: Q3: Uniform flow at Mach number equal (2) passes over a wedge of 10 half-angle, find M2, P2/P1,…

A: This problem is related to fluid mechanics. Fluid mechanics is the subject of mechanical engineering…

Q: Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23…

A: Given: The density of fluid at sea level, ρ = 1.23 kg/m3 = 0.002377 slug/ft3 The pressure at sea…

Q: A certain water flow at 20 ° C has a critical cavitationnumber, where bubbles form, Ca ≈ 0.25, where…

A: Given: The critical cavitation number of the water flow is Ca=0.25 The atmospheric pressure is pa=1…

Q: Q9-A block 0.2 m square, with 5 kg mass, slides down a smooth incline, 30° below the horizontal, a…

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Q: A fl uid jet of diameter D 1 enters a cascade of movingblades at absolute velocity V 1 and angle β 1…

A: The velocity diagrams at inlet and outlet of the blade are given as, It is assumed that the blade…

Q: Consider steady flow of water through an axisymmetric garden hose nozzle. The axial component of…

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Q: Under laminar conditions, the volume flow Q through asmall triangular-section pore of side length b…

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Q: The boat in Fig. P3.88 is jet-propelled by a pump thatdevelops a volume flow rate Q and ejects water…

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Q: 4. A flat plate 200mm× 750mm slides on oil(µ = 0.85N · s/ m²) over a arge plane surface, What force…

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Q: An incompressible fluid flows through a pipe without significant viscosity. It has a density of 124…

A: Given:r1=2.8 cm =0.028 mV1=13 m/sz1=0 mP1=103,763 Par2=3.87 cm =0.0387 mz2=5m

Q: An excellent approximation for the two-dimensional incompressible laminar boundary layer on the flat…

A: (a) Write the given equation for δ. δ=Cx1/2 Here, δ is the boundary layer thickness for the flow.…

Q: Using cartesian coordinates, show that each velocity component(u, υ, w) of a potential flow…

A: Given Data: The velocity component is given as u,v,w. Let the potential function ϕ be, ϕ=fx,y,z,t…

Q: A Viscous öf Viscosity Pa-s and nsity 884 kg/m3 is dragged by a rigid flat surface that moves ward…

A: givenviscosity of fluid μ=2.48Pa-sdensity of liquid ρ=884kg/m3vx=ρg2μx2-2hx+V

Q: Carbon dioxide flows at a rate of 1.5 ft'/s from a 3- in. pipe in which the pressure and temperature…

A: Given Q=1.5 ft^3 d(1)= 3inch =3/12 ft  P(1)=20 psi=20 x 144 lb/(ft^2) d(2)=1.5 inch density…

Q: Required information According to potential theory for the flow approaching a rounded…

A: Given: The speed, U = 17 m/s The constant, a = 11 cm The density of fluid, ρ = 917 kg/m^3 The…

Q: A solid cone of angle 24, tase 1,, and denisity p, is rotat- Ing with initial angulár velocity my…

A: Given: 1. TO determine: Relation for angular velocity

Q: Methane, approximated as a perfect gas, is compressedadiabatically from 101 kPa and 20°C to 300 kPa.…

A: Write the given data: Write the properties of methane gas.

Q: A liquid jet of velocity V j and diameter D j strikes a fi xedhollow cone, as in Fig. P3.47, and…

A: From the linear momentum equation, The horizontal restraining force is given…

Q: The viscous oil in Fig. P4.88 is set into steady motion by aconcentric inner cylinder moving axially…

A: Inner cylinder has constant axial velocity = U m/s Velocity of outer cylinder = 0 m/s Density = ρ…

Q: If T = = = = ² 2 ₁ -r (4 (Ap/At) and non- Newtonian, u(r) prove that (3n+1) Umean and compare to…

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Q: Q4 A plate 0.05 mm distant from a fixed plate moves at 1.2 m/s and requires a force of 2.2 N/m to…

A: Given, distance between two plates,∆x=0.05mm=0.05×10-3 m Shear force applied, τ=2.2 Nm-2 Velocity of…

Q: For the container of Fig. P3.116 use Bernoulli’s equation toderive a formula for the distance X…

A: let's suppose 1 upstream at free surface of container & 2 at nozzle exit. using Bernoulli's…

Q: Given the steady, incompressible velocity distributionu = Ax , υ = By , and w = Cxy , where ( A , B…

A: Given,  x-component of velocity, u=Ax y-component of velocity, v=By z-component of velocity, w=C xy

Q: Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23…

A: The diagram of the source of the flow is given by, Here, the flow has only radial velocity and…

Q: The hydrogen bubbles that produced the velocity profilesin Fig.  are quite small, D ≈0.01 mm. If the…

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Q: Consider a rapidly rotating (ie, in near geostrophic balance) Boussineq fluid on the f plane. A)…

A: Dependent upon the limitation on p communicated is the arrangement . It shows that the geostrophic…

Q: An airplane is fl ying at 300 mi/h at 4000 m standardaltitude. As is typical, the air velocity…

A: Given data: The velocity of the jet, v1 = 300 mi/h. The altitude of the airplane, h = 4000 m.…

Q: A solid cone of angle 2θ , base r 0 , and density ρ c is rotatingwith initial angular velocity ω 0…

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Q: The bottom of a river has a 4-m-high bump that approximates a Rankine half-body, as in Fig.  The…

A: Given data: Pressure, PB = 130 kPa = 130×103 Pa Velocity, VB = 2.5 m/s Bump at A, ZA=2 m Determine:…

Q: A capillary viscometer measures the time required for a specified volume υ of liquid to flow through…

A: Understand the following diagram for the given capillary tube.

Q: Using Buckingham-pi theorem, find an expression for the drag force (D) of a sphere of diameter (do)…

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Q: For the container of Fig. P3.116 use Bernoulli’s equation to derive a formula for the distance X…

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Q: P3.82 The model car in Fig. P3.82 weighs 17 N and is to be accelerated from rest by a 1-cm-diameter…

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Q: A typical carbon dioxide tank for a paintball gun holdsabout 12 oz of liquid CO2. The tank is fi…

A: Given: mCO2=12 ozP0=850 psiadexit=0.050 in

Q: calaculate the change in momentum of 200,000kg Boeing 777 whose speed changes from 450mph to 180mph.…

A: Given data as per question

Q: Air at Ma1 = 2.0 and p1 = 100 kPa undergoes an isentropicexpansion to a downstream pressure of 50…

A: GivenMach no. before the turn, Ma1=2 Pressure before the turn, p1=100 kPa Pressure before the turn,…

Q: Derive on an expression for the propeller thrust T, which depends on speed V, Dia. D, density p,…

A: It is required to derive an expression for propeller thrust which depends on speed, diameter,…

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.