Before cooking dinner, I pour oil into the center of a frying pan at a rate of 10^-6 m^3 /s. Once it hits the pan, the oil flows outwards from the center in a 2mm-thick layer, forming a perfectly circular disc. Assume the oil velocity is purely radial in this thin layer, and it is uniform in the vertical direction. a. What is the oil velocity 5 cm from the center? b. What is the oil velocity 10 cm from the center?

Q: Consider the incompressible flow of water through a divergent duct. The inlet velocity and area are…

A: Inlet velocity = 5 ft/s Inlet area = 10 ft2

Q: A river discharges into a reservoir at a rate of 400,000 ft'/s (cfs), and the outflow rate from the…

A:

Q: Example 1 Water enters the basement through a pipe r1=2 cm in radius at an absolute pressure of 3…

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Q: A jet of water with velocity 35 m/s strikes a series of radial curved vane mounted on a wheel which…

A:

Q: A jet of water of 75 mm diameter moving with a velocity of 15 m/s impinges on a fixed plate. Find…

A: Given, Diameter of water jet = d = 75 mm = 0.075 m Velocity of jet = v = 15 m/s Angle between the…

Q: 2) Consider the system of cylindrical pipes shown in the following figure, where a flow of water is…

A: Given: The diameter of pipe 1, D1 = 15 cm The diameter of pipe 2, D2 = 5 cm The pressure in pipe 1,…

Q: Water flows from a nozzle with a speed of V = 10m/s %3D and is collected in a container that moves…

A: Velocity of stream wrt. ground = V = +10 Velocity of container wrt. ground = Vcv = -2 ( opposite…

Q: A jet of water of diameter 7.5 cm strikes a curved plate at its centre with a velocity of 20 m/sec.…

A:

Q: Q4 / Water flows through Plate-Orifice. The following data is available:- 1- Discharge coefficient…

A: Note that discharge Q1 and Q2 are same equal to Q.

Q: Water is pumped into a fire hose through a 6 cm diameter pipe with speed 1m/s. The water in the fire…

A:

Q: Water is pumped into a fire hose through a 6 cm diameter pipe with speed 1m/s. The water in the fire…

A:

Q: a) Is it true that if a flow doesn't change its magnitude or direction, there will be no net…

A: Given data: The length of the water sheet is l = 5 cm. The diagram of the scoop is given as,…

Q: projectile-like object with maximum diameter of 20 cm is placed at the exit of a 25-cm-diameter…

A:

Q: Water with density of 1000 kg/m^3 flows through a horizontal pipe (in the x-z plane) bend as shown.…

A: Flux Flux is a term to describe passage through a surface. Electrical flux is how much electricity…

Q: ee the following nozzle, L is 10 cm, Dentrance is 2 cm, Dexit is 0.5 cm. The volume flow rate…

A: convective acceleration = ax =dudx =ux=L-ux=0L velocity = flow / area =4*flow/ pi D2   flow =…

Q: A 5 cm diameter of water jet strikes a flat plate which held normal to the direction of the water…

A:

Q: A 50. 49mm diameter horizontal jet of water strikes a plate. .Determine the velocity of the jet if…

A:

Q: A jet of water of diameter 75 mm moving with velocity of 25 m/s strikes a fixed plate in such a way…

A: Given Data: Velocity, v=25 m/s Diameter of jet, d=75 mm

Q: Pipe A, 30 cm in diameter, branches into two pipes B and C. Pipe B is 15 cm in diameter and pipe C…

A: The discharge is not the quantity of the fluid flowing through the pipe per unit time is called the…

Q: In Fig. 2, a fluid is flowing through a converging-diverging nozzle. In an actual flow situation,…

A: Converging diverging nozzle In converging diverging nozzle at inlet it has reducing area and at…

Q: Fluid of constant density is flowing at a velocity of 0.5 meter per second into a horizontal nozzle…

A: Given Data d2=13d1V1=0.5 m/sTo findV2=?

Q: Water with density of 1000 kg/m^3 flows through a horizontal pipe (in the x-z plane) bend as shown.…

A:

Q: A 50. 95mm diameter horizontal jet of water strikes a plate. Determine the velocity of the jet if…

A:

Q: When a viscous, incompressible fluid enters a pipe of radius, R, its velocity is uniform and of…

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Q: Firefighters are holding a nozzle at the end of a hose while trying to extinguish a fire. The nozzle…

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Q: A jet of water 257.90 mm in diameter impinges normally on a flat steel plate. If the discharge is…

A:

Q: Water enters a two-armed lawn sprinkler along a vertical axis at a rate of 60 L/s and leaves the…

A:

Q: A 50. 49mm diameter horizontal jet of water strikes a plate. Determine the velocity of the jet if…

A:

Q: Water with density of 1000 kg/m^3 flows through a horizontal pipe (in the x-z plane) bend as shown.…

A:

Q: Problem 2. An engineer helps with the design of a rotating spray for a dishwasher. The spray has 4…

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Q: Water falls vertically downward from an open faucet with an initial velocity of 78 cm/s. If the…

A: The stream diameter at a distance 5 cm below the faucet exit is 3.934 mm.

Q: Water enters vertically and steadily at a rate of 10 L/s into the sprinkler shown. Both water jets…

A: Consider the diagram shown below for the sprinkler. The volume flow rate of the water from the…

Q: 2. A 15 mm diameter jet of water impinges normally at the centre of rectangular plate of size 100 mm…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: from an ariface at bottom at a rate 0.003 m^3/s. what is rate of change of mass of water in the…

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Q: Homework Question: SAE 10W oil at 20oC flows from a tank into a 2.5 cm-diameter tube 50 cm long. The…

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Q: Water enters a shower head through a pipe of internal radius r = 6.4 mm, and leaves through 30 small…

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Q: What is stream wise acceleration? How does it differ from normal acceleration? Can a fluid particle…

A: 1. Stream wise acceleration:The acceleration of a fluid particle along a stream line in a flow can…

Q: Q4. Water flows steadily through 45° reducing elbow, located on a horizontal plane. V1 = 1.5 m/s, P1…

A: As per given question  Determine the flow rate. Determine the flow velocity at the narrow section.…

Q: Water with density of 1000 kg/m^3 flows through a horizontal pipe (in the x-z plane) bend as shown.…

A: Given:

Q: 4. Water enters a two-armed lawn sprinkler along the vertical axis at a rate of 60 L/s, and leaves…

A:

Q: Consider the flow of a fluid at speed v0, through a cylindrical pipe of radius r. What would be the…

A: To understand the above problem apply the continuity expression for incompressible flow.

Q: Determine the magnitude and direction of the resultant force exerted on this double nozzle by water…

A: Fluid Mechanics: It is a branch of physics in which concerns with mechanics of fluids & forces…

Q: diameter, branches into two pipes B and C. Pipe B is 15 cm in diameter and pipe

A:

Q: 10. A fluid moves in a steady flow manner between two sections in a flow line. At section…

A:

Q: CA horizontal pipe narrows from a radius of 0.325 m to 0.150 m. If the speed of the water in the…

A:

Q: A medical syringe (shown below) is used to inject a patient with a local anaesthetic before…

A: The velocity of plunger despite of leakage is 0.598 in/s.

Q: A pipe has a cross-sectional area of 16.5cm2 at point A, where the speed of the fluid (water) is 1.2…

A: Given: The cross-sectional area at point A is, AA=16.5 cm2. The speed of the fluid at A is, VA=1.2…

Q: jet of water with velocity 35 m/s strikes a series of radial curved vane mounted on a wheel which is…

A: For solution refer below images.

Q: r fully developed laminar pipe flow in a circular pipe, the velocity profile is given by u(r)= 2(1-…

A: Given:u(r)=2(1-r2R2)d=4 cm

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.