Calculating the Reynolds numbers at the end of the plate for the following fluid flowing over a 15cm long plate at a speed of 5 m / s at 40 ℃ and whose kinematic viscosities are given; Determine if the flow is laminar or turbulent flow or flow in the transition zone. For air ϑ_Air = 17.6x 〖10〗 ^ (- 6) m2 / s For CO2 ϑ_CO2 = 9.07x 〖10〗 ^ (- 6) m2 / s For water = 0.658 〖10〗 ^ (- 6) m2 / s For engine oil ϑ_Oil = 240x 〖10〗 ^ (- 6) m2 / h

Q: Assuming laminar flows, calculate the flow rate Q of an oil flowing from tank 1 (on the left) to…

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Q: A plate is sliding down an incline covered by a fluid film of constant thickness h as shown below…

A: Draw a diagram of the velocity profile with a strip in x-direction.

Q: Two concentric cylinders of radii a and b respectively (a > b) have their common axis lying along…

A: In steady laminar flow, the fluid is expected to travel in a circular motion two concentric…

Q: A 40kgf body slides on an inclined plane of 30° with the horizontal, which is lubricated with a film…

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Q: Determine the velocity profile within a 12 µm diameter capillary, with a viscosity of 4 cP, and a…

A: Velocity along the pipe varies parabolically as it is directly proportional to the square of the…

Q: Example 1 The velocity profile in laminar flow through a round pipe is expressed as u = 2U…

A: To draw: The dimensionless shear stress profile ττ0 against the profile rr0. and also find the value…

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: As illustrated in the figure, two moving plates are pulled in opposite directions at velocities u₁…

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Q: In the given image, if the fluid is glycerin at 20°C and the width between the plates is 5 mm, what…

A: For the given system  width between the plates (h) = 5 mm velocity of upper plate (V) = 7.75 m/s…

Q: A plate with a length of 1.5 m is placed in a wind tunnel so that the air passes over it at a speed…

A: Given Data

Q: The figure shows a duct in which methyl alcohol at 25°C (density ρ= 789 kg/m3, dynamic viscosity μ =…

A: Given data, Density of methyl alcohol, ρm=789 kg/m3 Dynamic viscosity, μ=5.6×10-4 kg/ms Volume flow…

Q: The force per unit area.

A: Given; Flow between the plates is solely due to motion of the top plate.Top plate is sliding…

Q: ity in metre per ermine the shea

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Q: Do gases usually have a constant specific weight? What increases in altitude is necessary in the…

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Q: Consider the flow of a fluid with viscosity μ through a circular pipe. The velocity profile is shown…

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Q: A- Two large surfaces are 2.2 cm wide of infinite extent contains a fluid with an absolute viscosity…

A: Given data : width of infinite extension = 2.2 cm                     Absolute viscosity of the…

Q: The diameter of a large vein in the human body is approximately 9mm and its length is 0.35m. the…

A:

Q: Water is flowing out of a horizontal pipe at a rate of 1.9 L/s at a temperature of 25°C. The…

A: Given:Discharge, Q=1.9 Ls-1 =1.9 * 10-3 m3s-1T= 25o Cμ= 1.2*10-3 pa-sPinlet = patm + Pgauge…

Q: A fluid with a velocity of 30 m/s flows past a sphere with a radius of 40 mm. The density and…

A: Given data v=30 m/sR=40 mmρ=1.32 kg/m3 Here, v is the speed, R is the radius and ρ is the density of…

Q: An 18-kg slab slides down a 15° inclined plane on a 3 mm thick film of oil with viscosity μ=0.0814…

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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: Air at 68 degrees Celsius is being pumped through a pipe of internal diameter 6.4 inches. If the…

A: First calculate the Reynold number to identify wheather it is laminar or turbulent

Q: Consider a flat interface between two immiscible fluids as shown. The flow is parallel in the x –…

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Q: The Falling Ball viscometer is designed based on the equilibrium relationship between the ball…

A: The velocity of the ball can be determined as shown below.

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

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Q: A plate of 0.125 mm distant from a fixed plate, moves at 20cm/s and requires a force of 40 N per…

A: Given data,  dy= 0.125 mm =0.000125 m du=u= 20 cm/s =0.2 m/s τ= 40 N/m²

Q: Consider a steady, incompressible flow between two parallel plates. The top plate at a temperature…

A: Write the expression of shear stress. τ=μdudy

Q: Develop the expression to determine: the elevation of the oil-water surface (Yi) and the pressure…

A: The course through permeable limits is critical both in mechanical as well as biophysical streams.…

Q: 1- Using the Navier-Stokes equations, determine the pressure gradient along flow, the average…

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Q: You are asked to calculate the pressure drop in a straight pipe. Air of density 1.225 kg/m³ is…

A: Pressure drop              ∆p=32μuL¯ρgd2=32×1.85×10-5×100×0.51.225×9.81×0.0252=3.94 Pa Coefficient…

Q: A long wire of length L to be coated moves at a velocity V0 through a long cylindrical die filled…

A: Consider the given diagram and write the continuity equation. ρAvz=constantρAdvzdz=0dvzdz=0…

Q: SAE-10 oil at 20 deg C fills the gap between the moving  6 cm diameter long cylinder which is inside…

A: Given: Diameter of the inside cylinder→Di=6 Cm=0.06 m Diameter of the outer cylinder→Do=6.8 Cm=0.068…

Q: Water flows through the following circular pipe with a diameter of 30 mm at a speed of 3 m/s, what…

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Q: Water is flowing at velocity of 0.8m/s in a pipeline (diameter = 1.25 inch). Its initial pressure is…

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Q: (1] A Newtonian fluid with a viscosity u and density p, is flowing at a laminar condition on an…

A: Given the equation is, Now, apply the boundary conditions, At y = 0, u = 0 And y = b, u = 0 Now,…

Q: A circular plate with a diameter of 2m and weighing 350N slides down an inclined plane with a…

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Q: terminal velocity V

A: Given: A solid block of 2 kg mass slides steadily at a velocity V along a vertical wall as shown in…

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.