Consider the flow of a fluid with viscosity m through a circular pipe. The velocity profile in the pipe is given as u(r) = umax(1 - rn/Rn), where umax is the maximum flow velocity, which occurs at the centerline; r is the radial distance from the centerline; and u(r) is the flow velocity at any position r. Develop a relation for the drag force exerted on the pipe wall by the fluid in the flow direction per unit length of the pipe.

Q: Water at 60 degrees Fahrenheit have a density of 62.36 lb/ft.^3 and dynamic viscosity of 7.536 x…

A:

Q: A 50-cm x 30-cm x 20-cm block weighing W is to be moved at a constant velocity of 0.80 m/s on an…

A:

Q: Q1. Water flowing through a pipe has a dynamic viscosity of 8.9 x 10-4 Pas and a density of 1000…

A:

Q: Consider two liquids of densities p₁ = 1000 kg/m³ and p2 = 800 kg/m³ that are initially flowing in…

A: According to principle of conservation of mass, the mass can neither be created nor be destroyed so…

Q: 2- Velocity distribution of fluid over a flat plate is given by: U = % y - y in which (u) velocity…

A:

Q: 1. A thin 30-cm x 30-cm flat plate is pulled at 3 m/s horizontally through a 3.6- mm-thick oil layer…

A:

Q: cylinder of 125mm radius rotates concentrically inside a fixed cylinder of 130mm radius. Both…

A: Given Data Inner Radius=125 mm Outer Radius=130 mm L=300 mm w=2π rad/s

Q: 18. A thin 30 cm x 30 cm flat plate is pulled at 3 m/s horizontally through a 3.6 mm thick oil layer…

A: As per given  Area=30Cm×30Cm Dynamic viscosity =0.027pa-s V=3m/s VW=-3m/s WE have to determine the…

Q: A shaft with a diameter of D = 80 mm and a length of L = 400 mm, shown in Fig is pulled with a…

A: Given data: The diameter of the shaft is D = 80 mm = 0.08 m The length of the shaft is L = 400 mm =…

Q: A 50-cm x 30-cm x 20-cm block weighing 150 N is to be moved at a constant velocity of 0.8 m/s on…

A:

Q: A solid alloy cylinder having a diameter of 6.48 cm slides downward at a terminal velocity of V…

A: the object reaches terminal velocity when there will be no net external force on the body and it…

Q: Two plates are seperated by a distance 1 mm and the gap between the plates is filled with a fluid.…

A: Gap distance, dy= 1 mm= 0.001 m Velocity, du= 1 mm/s= 0.001 m/s Force required by unit area, F/A=…

Q: The viscosity of a fluid is to be measured by a viscometer constructed of two 90-cm-long concentric…

A: Viscosity is defined as the property of a fluid which offers resistance to the movement of one layer…

Q: 28] The space between the 10 cm long shaft and sleeve is filled with an oil of viscosity 8 poise.…

A:

Q: The viscosity of a fluid is to be measured by a viscometer constructed of two 40-cm-long concentric…

A:

Q: Inside a 60 mm diameter cylinder a piston of 59 mm diameter rotates concentrically. Both the…

A: Find the attachment for the solution.

Q: Consider the problem of draining a hemispherical tank of radius H* feet that is full of water and…

A: dVdt=-KA2gh(t)  ........(1)dhdt=dVdt(1πr2)    .....(2)From (1) and (2):dhdt=-KAπr22gh(t)

Q: In an inclined open channel, a thin film of liquid is flowing down. The velocity aistribution of the…

A:

Q: The space between the shaft and sleeve is filled with an oil of viscosity 6.5 stokes and density 900…

A:

Q: (b) An oil of viscosity is 5.11 x 10-4 m2/sec is used for lubricate the space between the shaft and…

A:

Q: A flow nozzle equipped with a differential pressure gage is to be used to determine the flow rate…

A:

Q: Water (with a viscosity µ of 0.00958 N.s/m²) is flowing in a pipe with a diameter of 10 cm at a dish…

A:

Q: Consider two liquids of densities p₁ = 1000 kg/m³ and p₂ = 800 kg/m³ that are initially flowing in…

A:

Q: 1. A square plate 0.5m x 0.5m weighing 100N is allowed to slide down an inclined plane which is laid…

A:

Q: 40-mm-diameter shaft is pulled through a cylindrical bearing as shown in the figure. The lubricant…

A:

Q: Determine the apparent viscosity at a shear rate of 69.75/s and 75.69/s for the non-newtonian fluids…

A: Given Shear rate γ.1=69.75/sγ.2=75.69/s To find Apparent viscosity

Q: 1.63 A 25-mm-diameter shaft is pulled through a cylindrical bear- ing as shown in Fig. P1.63. The…

A:

Q: The space between two square flat parallel plates is filled with oil. Each side of the plate is 60…

A: Given:_ ∆y=12.5mm=12.5×10-3m∆Vn=2.5m/secA=60×60=3600cm2A=0.36m2F=98.1Nρ=0.95×10 kg/m3 To find- 1)…

Q: The space between two square flat parallel plates is filled with oil. Each side of the plate is 0.75…

A: Given data: - The sides of plate is a = 0.75 m. The specific weight of the oil is w = 9760 kg/m3.…

Q: 6.11. Calculate the viscosity of a fluid that would allow a pressure drop of 35 kPa over a 5-m…

A: Write the formula for Poisellui's equation. Q=πPr48ηl Here, Q is the discharge, P is the pressure…

Q: A block weighing 150 N is at a 20° inclination from the ground. Its mass is 15.291 kg and has a…

A:

Q: The velocity distribution for flow over a plate is given by u= 2y - y? where u is the velocity in…

A:

Q: Two plates each having an area of 5 m^2 are 127 mm apart. The plate on top is fixed while the plate…

A:

Q: Two plates each having an area of 5 m^2 are 77 mm apart. The plate on top is fixed while the plate…

A:

Q: The velocity profile in fully developed laminar flow in a pipe of diameter D is given by u = U, (1-…

A: Given: velocity profileu=uo 1-4r2D2

Q: Part A A fluid of density p and viscosity μ flows at an average velocity v through a circular pipe…

A:

Q: Consider two liquids of densities p₁ = 1000 kg/m³ and p2 = 800 kg/m³ that are initially flowing in…

A:

Q: Water at 60 degrees Fahrenheit have a density of 62.36 lb/ft.^3 and dynamic viscosity of 7.536 x…

A:

Q: Consider two liquids of densities p₁ = 1000 kg/m³ and p2 = 800 kg/m³ that are initially flowing in…

A:

Q: oble with a diameter of 2.72" is to be enlarged by blowing air into it. If the surface tension of…

A: D1= 2.72" D2= 3.64" (Surface Tension) T= 0.0035 lbf/ft   To find :- Work input required.

Q: A capillary tube viscometer is being selected to measure viscosity of a liquid food. The maximum…

A:

Q: Fluid with a density of 800 kg/m^3 and velocity of 9.375 m/sec flows through a pipe diameter of 20…

A: Reynold's Number, Re=ρVdμRe=800*9.375*0.020.015Re=10000 Since Re>10000, Flow is turbulent

Q: A 29-mm-diameter shaft is pulled through a cylindrical bearing as shown in the figure below. The…

A: GivenDiameter of shaft D=29 mm=0.029 mGap dy=0.3 mm=bb=0.0003 mVelocity du=6 m/sSpecific gravity…

Q: For a fluid flowing inside a pipe, given a constant Reynolds number, how will the Fanning friction…

A:

Q: İki silindir aralığına yerleştirilen bir akışkanın viskozitesi şekilde verilen bir düzenekle…

A:

Q: A square plate 0.5m x 0.5m weighing 100N is allowed to slide down an inclined plane which is laid to…

A:

Q: Q1) A shaft of diameter (d 41-mm) is to be pulled through a (44.1)-cm-diameter glycerin-filled…

A:

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.