Show by dimensional analysis that the torque T required to rotate a disc of diameter D at a speed N in a fluid of density r and coefficient of viscosity m is given by:

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Q: 1. Show that the total derivative in cylindrical coordinates is given by av vav +w az DV av av %3D…

A: Let vr, vθ, vz be the velocity components in the direction r, θ, and z Let e^r , e^θ , and  e^z be…

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A: Surface tension: It is the phenomenon that occurs between contact surface of two matter, one of…

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

Q: The torque T necessary to rotate a disc of radius R a distance h from a flat plate depends on the…

A: Answer: The torque required to rotate the disc is (π•u•w•R4)/(2h).

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Q: A compressed air tank is designed to contain 50 standard cubic feet of air when filled to a gauge…

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A: Bernoulli's equation is a conservation of energy equation and it is used for the measurement of…

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Q: A solid sphere having diameter 5 mm is falling through oil of density 800 kg/m? and dynamic…

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Q: The force per unit area.

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Q: A piston 113 mm diameter and 150 mm long has a mass of 9 kg. It is placed in a vertical cylinder 115…

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Q: 8- Why is the viscosity of an incompressible fluid independent of preesure, ut depends upon…

A: Viscosity: It is a measure of the resistance to the fluid flow. The viscosity describes the internal…

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A: Given that there is six parameters, So, Now there are five parameters and u is a function of other…

Q: Explain the fundamental reason for shear viscosity oxz bị along the x-axis with velocity v(z). How…

A: Shear viscosity's primary function is to oppose the flow of fluid from one layer to another.

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Q: Prove that the pressure 'p' is independent of the transverse coordinate 'y' in the boundary layer…

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A: Write the given data. w=1 mb=2 m

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Q: In a steady-state bakery process, cakes are fed on a conveyor belt through an “enrober" where melted…

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Q: The rotating disk viscometer is a precise device for measuring the viscosity of fluids. In this type…

A: The continuity equation states that the total rate of fluid flow into a given volume must equal the…

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Q: What is the difference between laminar and turbulent flow, and how does this affect fluid mechanics…

A: To find: The difference between laminar and turbulent flow.

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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…

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Q: Consider a laminar flow between two large parallel plates placed h= 0.7 mm apart. The surface area…

A: Given Data Surface area of plate is : A=0.86 m2 Upper plate velocity is : U=0.34 m/s Fluid dynamic…

Q: The resistance to motion R for a sphere of diameter d moving at constant velocity u through a…

A: Fundamental dimensions.Basic dimensions

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Q: A piston 100 mm diameter and 100 mm long slides in a cylinder 101 mm diameter. The space between the…

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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.