Q.2 The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the figure, is given by the expression R? (dp u(r) = 1- 4µ ( dx R? dp is a constant dx where The average velocity of fluid in the pipe is u(r) R? (dp (b) 4µ ( dx, R? (dp (a) 8µ ( dx, | R? (dp (c) R? (dp (d) 2µ ( dx u (dx,

Q: (b) Consider fully developed flow of an incompressible Newtonian liquid in an in- finitely long tube…

A: (b Given Data u(y,z)=0y2a2+z2b2=1 On neglecting gravity the consistent state navier stokes…

Q: A large three-dimensional pipe of circular section with radius R = 0.2 m is part of a hydroelectric…

A: Consider expression for velocity profile.Here R indicates radius of pipe, r is radial distance from…

Q: A rectangular plastic pipe transports a stream of 0.01 m³/s unknown fluid. The pipe is 200 m long…

A: Given Data: The discharge is Q = 0.01 m3/s. The length of the pipe is L = 200 m. The…

Q: Heat Transfer For hydraulically-smooth, turbulent pipe flow at Re = 1,000,000, determine the…

A: Given data, Flow is turbulent Reynold's no, Re = 106 To determine, the streamwise distance for…

Q: For Oil (SG = 0.86, p = 0.025 Ns/m2) flow of 0.3 m3/s through a round pipe with diameter of 500 mm,…

A: Given data: The specific gravity of oil, SG = 0.86. Dynamic viscosity of the oil, µ = 0.025 N·s/m2.…

Q: Cooling water for a power plant is stored in a pond 900 m in length and 400 m wide. A dry wind at…

A:

Q: 3. Oil is flowing with 0.001m /s in a conduit with cross section as shown in the Figure where the…

A: Given data oil flow rate:-0.01 m3/secdensity ρ=900 kg/m3viscosity μ=0.05 Pa-slength =(a)=9 cmdia of…

Q: (b) Fluid flow through a horizontal circular pipe of inner radius of 2 cm with centerline velocity…

A: The Reynolds number of the flow is The flow is laminar.

Q: During a field measurement air velocity has to be measured using a Prandtl-tube (Pitot-static tube).…

A: Answer: The expected dynamic pressure is 1613.1250 N/m2.

Q: Write correct derivation

A: We have to solve above question find the volumetric flow rate

Q: (a) Write short notes about the following as they are applied in fluid mechanics (i) Uniform flow…

A: We will answer the question number (a) since the exact one was not specified. Please submit a new…

Q: A horizontal smooth pipe of diameter 5 cm and length 10 m is conducting water ( viscosity= 1x10^-6…

A: givendiameter of pipe d=5cm=0.05mlength of pipe L=10mviscosity of water μk=1×10-6 m2/sdensity of…

Q: Required information A light liquid (p = 950 kg/m³) flows at an average velocity of 10 m/s through a…

A: Given data :- An average velocity = 10 m/s                        The diameter of tube (d) = 6.6 cm…

Q: Prove that the angle of inclination of two fixed parallel plate shown in figure, so that laminar…

A:

Q: Q.5 b) From the consideration of velocity, how is the continuity equation based on the principle of…

A:

Q: You are designing a bioreactor that requires turbulent water flow (Re=2300) for better mixing of…

A: Given:Diameter,d=1.5 inches=1.539.37mWe know,For Reynold's number >2300(in pipe flow),the flow is…

Q: H.W5) A Figure illustrates the tube-flow system. The heat transfer under developed flow conditions…

A:

Q: A fluid with SG: 0,888 and viscosity: 0,8 Pa s flows in a horizontal pipe of diameter :5 cm and…

A: Given, SG = 0.888μ = 0.8 Pa-sD = 5 cm = 0.05 mL = 40 m∆P = 648.76 kPa = 648760 Pa   From specific…

Q: Flow is driven along a long, straight, circular pipe by a pressure drop. On investigating a portion…

A: Given:Pressure drop across a length L=8.6 m, ∆P=10 PaPipe radius, R=0.2 mDynamic viscosity, μ=0.05…

Q: (b) Fluid flow through a horizontal circular pipe of inner radius of 2 cm with centerline velocity…

A: The Reynolds number of the flow is The flow is laminar.

Q: D Page view Read aloud T Add text V Dray 6. An oil with density of 900 kg/m³ and kinematic viscosity…

A:

Q: Two oil tanks are connected by two 9-m-long pipes, asin Fig.. Pipe 1 is 5 cm in diameter and is 6…

A: Given data The length of both the pipe is L=9 m The diameter of the pipe 1 is D1=5 cm=0.05 m The…

Q: The dynamic equilibrium in circular pipe flow: Velocity profile in laminar flow CExplain in detail,…

A: Explaining velocity distribution in laminar flow in a circular pipe.

Q: At a point in a turbulent flow the mean kinetic ener value of 2? Give your answer to two decimal…

A:

Q: In an experimental setup of a long pipeline, pressure tappings are located 3 meters apart. Velocity…

A: we have to find the wall shear stress.

Q: Consider the pitot tube with differential monometer installed in a pipe. What is the velocity of the…

A:

Q: Derive the Continuity Equation by considering a stream-tube of flow through a conduit.

A: Continuity equation This equation describes the conservation of mass during the fluid flow in the…

Q: Q: Consider water flows between two parallel fix plates at 20C (dynamic viscosity =0.001 Pa.s). The…

A: Given data dynamic viscosity = 0.001 Pa.s velocity distribution = u = 10 ( .01Y-Y2)where Y is in…

Q: SAE 30 oil (density = 917 kg/m³, viscosity = 0.26 kg/(m*s)) is flowing through a 2 cm diameter tube…

A:

Q: b) CHOOSE A SET OF PRIMARY DIMENSIONS c) CHOOSE A SET OF REPEATING PARAMETERS OSE THE REPEATING…

A: (e) dimensionless group Reynolds no = inertia forceviscous force = ρ u Dμ  when Re < 2000 ,…

Q: 1. Calculate the volumetricflow rate of the siphon (cm³/s), assuming that L= 100cm, Az = 80 cm, and…

A: Siphon: It is a pipe or tube that is used to transfer a fluid in fluid mechanics. It can be to…

Q: What is the size (thickness) of u' and 8 for turbulent flow in a 4 in (100 mm) nominal pipe?…

A: Find the density of the fluid at a given temperature,

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 medium sand aquifer 30m thick has two monitoring wells spaced 800m thick along the direction of…

A: Given:To find:(a) Rate of flow per meter of width.(b) Average linear velocity of water.

Q: H.W. (a) Derive an expression for the volumetric flow rate of a fluid flowing through an…

A: The answers are provided below.

Q: For the horizontal laminar internal flow through a pipe of diameter (d), if the velocity profile (r)…

A: ζ = f8ρV2f = frction factorρ= densityV = avg. flow velocity

Q: At 1 atm and 20 oC, air flows in a 7 cm diameter tube. What should be the maximum air velocity to…

A:

Q: Water with density and kinematic viscosity of 1000 kg/m³, 1 x10-6 m²/s respectively flow through a…

A: Given,

Q: Question 2 (a) In figure below the flowing fluid is Helium at 20°C. Neglect losses. If pl = 1400 kPa…

A: The Euler equation of motion is in which the forces due to gravity and pressure are taken into…

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.