Fluid Mechanics Exam Prep
Full explanation, worked examples & memory tricks in the app
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Full explanation, worked examples & memory tricks in the app
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
State and prove the Pascal's law.
Pascal's law states that pressure applied to a confined fluid is transmitted undiminished in all directions; proof involves considering a small area on the fluid.
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Define and Explain Newton's law of viscosity.
Newton's law of viscosity states that the shear stress is proportional to the shear rate; it describes the relationship between viscosity and flow.
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Drive an expression for pressure head in a fluid at rest.
The pressure head in a fluid at rest is given by \( h = rac{P}{ ho g} \), where \( P \) is pressure, \( ho \) is density, and \( g \) is acceleration due to gravity.
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Explain different types of manometer.
Types of manometers include U-tube manometers, piezometers, and inclined manometers, each used to measure fluid pressure.
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Derive an expression for depth of center of pressure from free surface of liquid of an inclined plane surface submerged in the liquid.
The depth of the center of pressure can be derived using the formula \( h_{cp} = h + rac{I_g}{A h} \), where \( I_g \) is the moment of inertia and \( A \) is the area.
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An open tank contains water up to a depth of 2 m and above it and oil of specific gravity 0.9 for a depth of 1 m. find the pressure intensity (i) at the interface of two liquids, and (ii) at the bottom of the tank.
Pressure intensity at the interface is calculated using \( P = ho g h \), and at the bottom, it is the sum of pressures from both liquids.
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A rectangular plate surface is 2 m wide long and 3 m deep. It lies in a vertical plane in water. Determine total pressure and position of Centre of pressure on the plane surface when its upper edge is horizontal and (a) coincides with water surface (b) 2.5 m below the free water surface.
Total pressure is calculated using \( P = ho g h A \) and center of pressure is found using \( h_{cp} = h + rac{I_g}{A h} \).
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Define Newtonian fluids and Non-Newtonian fluids.
Newtonian fluids have a constant viscosity regardless of the shear rate, while Non-Newtonian fluids have a viscosity that changes with the shear rate.
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Define meta-centre and meta-centric height.
Meta-centre is the point where the buoyant force acts, and meta-centric height is the distance between the centre of buoyancy and the meta-centre.
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What are the basic properties of fluid?
Basic properties of fluid include density, viscosity, surface tension, and compressibility.
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Define real fluid & Ideal fluid.
Real fluids have viscosity and exhibit resistance to flow, while ideal fluids are hypothetical and have no viscosity.
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Differentiate between absolute and gauge pressure.
Absolute pressure is measured relative to a perfect vacuum, while gauge pressure is measured relative to atmospheric pressure.
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Why does pressure increase with depth?
Pressure increases with depth due to the weight of the fluid above the point of measurement.
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What is the difference between dynamic and kinematic viscosity?
Dynamic viscosity measures a fluid's internal resistance to flow, while kinematic viscosity measures the fluid's resistance to flow under the influence of gravity.
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Define a fluid.
A fluid is a substance that deforms continuously under an applied shear stress.
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What is meant by density of a fluid?
Density of a fluid is the mass per unit volume of the fluid.
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Define specific weight.
Specific weight is the weight of a unit volume of a fluid.
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What is specific volume?
Specific volume is the volume occupied by a unit mass of a fluid.
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Define specific gravity.
Specific gravity is the ratio of the density of a fluid to the density of a reference substance, typically water.
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Define rheology.
Rheology is the study of the flow and deformation of matter.
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What is a piezometer?
A piezometer is a device used to measure the pressure of a fluid at a specific point.
The full exam-length answer is in the app.
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