An incompressible fluid flows steadily in the entrance region of a two dimensional channel of height 2h. Density of the fluid is 1.24 kg/m3. The uniform velocity at the channel entrance is U1=6.1m/s. The velocity distribution at a section downstream is:

Q: Water is draining from the bottom of a cone- shaped funnel at the rate of 0.8 ft³/sec. The height of…

A:

Q: A horizontal pipe has an abrupt expansion from D₁ = 9 cm to D₂= 20 cm. The water velocity in the…

A: Given:Diameter of the smaller section, D1=9 cmDiameter of the larger section, D2=20 cmVelocity in…

Q: A small swimming pool is drained using a garden hose. The hose has 20 mm inside diameter, a…

A: The diameter of hose is The roughness height is .The length of the pipe is .The elevation of the…

Q: The relation of flow between parallel flat plates is u = Umax where ț is the distance between the…

A: Given Data Maximum velocity of the flow is: umax=5 cm/s=0.05 m/s The thickness is: t=0.1 cm=1×10-3…

Q: A horizontal pipe of diameter 350 mm converges to a diameter of 200 mm. The pipe conveys water with…

A: Given:The  inlet diameter, theoutlet diameter of the tube the inlet pressure, theoutlet pressure The…

Q: Air flows through a 0.5 m length and 1 cm diameter pipe for a soft robotics application. If the…

A:

Q: Air enters a duct, of diameter D=25.0 mm through a well-rounded inlet with uniform speed, U₁=0.870…

A:

Q: A large reservoir containing a liquid of density p =1000 kg/m³ opens to the atmosphere at the top.…

A: Assuming cube is stationary; The velocity of liquid coming out of the jet, v=2gh mean flow rate of…

Q: A fluid of viscosity μ flows in the horizontal cylinder (radius R) shown in the figure under a…

A: The viscosity of the flow is, The velocity at the porous region is, The radius of the porous region…

Q: Water falls vertically downward from an open faucet with an initial velocity of 66 cm/s.  If the…

A:

Q: 3 Water flows through a horizontal pipe at a rate of 0.01 m'/s. The pipe consists of two sections of…

A:

Q: Express the angular momentum equation in scalar form about a specified axis of rotation for a fixed…

A: Angular momentum: The angular momentum is defined as the rotational analog or rotational equivalent…

Q: engineering problem.   The Reynolds Transport theorem for conservation of mass is as follows…

A: Ans: option (b) is correct.  b. Equal to

Q: The pressure in a section of a horizontal pipe of diameter d1 = 2.0 cm is p1 = 142 kPa. The water…

A:

Q: A calibration test of a 2.5m circular sharp edge orifice in the vertical side of the large tank…

A:

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

A: Given

Q: Fluid Mechanics Problem   The clamping forces on a horizontal pipe-bend are measured to be 1050 N…

A: Given: The force in positive x-direction, Fx = 1050 N The force in positive y-direction, Fy = 850 N…

Q: For fully-developed laminar flow through a pipe with ra- dius R, the fluid velocity is very…

A:

Q: (a) A wing section with a chord of c and a span of b is mounted at zero angle of attack in a wind…

A:

Q: Fluid dynamics: Potential flow

A: The objective of the question is to propose a complex potential function to represent the flow field…

Q: In Fig. I the upper plate moves upwards in 1.5 m/s and the lower plate moves upwards ini m/s, the…

A:

Q: There is a flow of fluid compressible in permanent regime in a circular section convergence. Knowing…

A: given flow weight =1.8N/s circular section convergence d1=15cmd2=7.5cmspecific volume at section 1,…

Q: s 50 kg. Determine the anchoring force needed to hold the elbow in place. Take the momentum-flux…

A: The angle of deflection is: θ=45ο The mass flow rate of water is: mο=30 kg/s The area of the elbow…

Q: Water flows through a venturi as shown in the figure at a flow rate of Q= 12 L/s. The inlet and…

A: Q. Flow rate  Q=12 LS=12×10-3 m3SInlet diaD=4.0 cm=4×10-2 m;& throat dia d=35cm=3.5×10-2…

Q: Water D1 D2 V1 P1 A horizontal pipe has an abrupt expansion

A: Given:Diameter of the smaller section, D1=11 cmDiameter of the larger section, D2=21 cmVelocity of…

Q: inwhich ris the local radius, Ris the radius of the inner wall of the pipe and Vawg is the average…

A: For solution refer below images.   ∗From the given data   V=2.Vavg  1-r2R2    ∗Velocity profile:-…

Q: water is flowing at 4 m/s in a penstock pipe of 4500 m long. if celerity of the pressure wave…

A:

Q: An upright hollow brass cylinder, inner radius = 5 cm and outer diameter = 18 cm, is 30 cm tall. If…

A: To Find : The angle at which its slants. Given : The inner radius f hollow cylinder is The outer…

Q: Differentiate annealing and tempering heat treatment processes.

A: The heat treatment process is given.

Q: We are experimenting with a brake system. Bar AC rests on the spool at B. Find the force P that can…

A: Consider free body diagrams of bar AC and spool at B.

Q: Consider water flow (40-C) in a pipe, the profiles of speed at the inlet and outlet are shown in the…

A:

Q: A jet of water 251.70 mm in diameter impinges normally on a flat steel plate. If the discharge is…

A: Given, Diameter of jet,d=251.70mmDischarge,Q=0.491m3/sVelocity of the plate,u=2.17m/sTo…

Q: Prove that the speed of an incompressible fluid through a constriction, such as in a Venturi tube,…

A: Given: Incompressible fluid The speed of venturimeter increases by factor is equal to the square of…

Q: A tea maker whose top (1 point) is open to the atmosphere is completely full. The tea flows from the…

A: we will use Bernoulli's equation to solve this problem p1ρg+v122g+z1=p2ρg+v222g+z2

Q: The uniform velocity ‘U’ of water flowing in a pipe at 70 oF is 79 ft/s. Figure out the following…

A: Given data:

Q: Reservoir and parallel disks flow system. The solution should be carried out using cylindrical…

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.