Untitled

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

In hydrodynamics, what factor is considered when analyzing fluid motion that is disregarded in hydrokinematics?

  • The fluid's velocity profile within a pipe.
  • The forces causing the fluid's motion. (correct)
  • The fluid's density variations due to temperature changes.
  • The fluid's volume and shape.

If a fluid's mass is 50 kg and its volume is 0.05 m³, what is its density?

  • 2500 kg/m³
  • 1000 kg/m³ (correct)
  • 0.001 kg/m³
  • 50 kg/m³

How does the density of liquids typically differ from that of gases under varying pressure and temperature conditions?

  • Liquids are more sensitive to pressure and temperature changes than gases.
  • Liquids maintain constant density regardless of pressure, whereas gases always maintain a fixed density.
  • Liquids have densities that vary exponentially with temperature, unlike gases.
  • Liquids are considered incompressible, while gases are significantly affected by pressure and temperature. (correct)

What is the specific weight of a liquid with a density of 800 kg/m³?

<p>7848 N/m³ (B)</p> Signup and view all the answers

If the specific weight of a fluid is 12000 N/m³, what is its density?

<p>1223.24 kg/m³ (A)</p> Signup and view all the answers

A fluid has a density of 1200 kg/m³. What is its specific volume?

<p>0.000833 m³/kg (B)</p> Signup and view all the answers

If a substance has a specific gravity of 0.8 compared to water, what is its density?

<p>800 kg/m³ (B)</p> Signup and view all the answers

For which type of substance is air or hydrogen at 0°C considered the standard substance when determining specific gravity?

<p>Gases (B)</p> Signup and view all the answers

A piezometer cannot measure which of the following effectively?

<p>Large pressures in lighter liquids. (B)</p> Signup and view all the answers

What is a key limitation of using a piezometer for pressure measurement?

<p>It cannot measure gas pressures. (C)</p> Signup and view all the answers

In a U-tube manometer setup, the specific gravity of the light liquid is $S_1 = 0.8$ and its height is $h_1 = 0.2$ m. The specific gravity of the heavy liquid is $S_2 = 1.2$ and its height is $h_2 = 0.15$ m. What is the gauge pressure ($P_A$) at point A, expressed in meters of water?

<p>0.02 m of water (D)</p> Signup and view all the answers

A U-tube manometer is used to measure the pressure of a gas within a container. One side of the manometer is open to the atmosphere. Which statement accurately describes how the manometer functions?

<p>It measures the difference between the gas pressure and atmospheric pressure. (B)</p> Signup and view all the answers

For measuring vacuum pressure using a U-tube manometer, the equation $P_A = -(\omega_1 h_1 + \omega_2 h_2)$ is used. What do $\omega_1$ and $\omega_2$ represent in this context?

<p>Specific weights of the light and heavy liquids, respectively. (C)</p> Signup and view all the answers

When using a U-tube manometer to measure gauge pressure, the pressure at the left limb at the datum line (z-z) is equal to the pressure at the right limb. This principle is based on:

<p>Pascal's Law. (A)</p> Signup and view all the answers

In a U-tube manometer measuring gauge pressure, if $S_1$ and $S_2$ represent the specific gravities of the light and heavy liquids, respectively, and $h_1$ and $h_2$ their corresponding heights, what does the expression $S_2h_2 - S_1h_1$ represent?

<p>The gauge pressure at the measurement point, in meters of water. (A)</p> Signup and view all the answers

A U-tube manometer is connected to a pipe containing a fluid with unknown pressure. The liquid in the manometer has specific gravity $S_2$ and the height difference is $h_2$. If the other side of the manometer is open to the atmosphere, what does $\omega S_2 h_2$ represent (where $\omega$ is the specific weight of water)?

<p>The gauge pressure in the pipe. (B)</p> Signup and view all the answers

A fluid's resistance to change its shape is called what?

<p>Viscosity (D)</p> Signup and view all the answers

How does temperature affect viscosity in liquids and gases?

<p>Decreases viscosity in liquids and increases it in gases. (C)</p> Signup and view all the answers

According to Newton's Law of Viscosity, what is the relationship between shear force (F) and the velocity gradient (du/dy)?

<p>F is directly proportional to du/dy. (C)</p> Signup and view all the answers

In the context of fluid flow over a solid surface, where is the velocity of the fluid typically zero?

<p>At the solid surface. (D)</p> Signup and view all the answers

What does the term 'shear deformation' refer to in the context of viscosity?

<p>The velocity gradient or rate of shear strain. (B)</p> Signup and view all the answers

If a fluid has a high coefficient of dynamic viscosity, what does this indicate about its flow?

<p>It resists flow and is very thick. (C)</p> Signup and view all the answers

What are the units for dynamic viscosity ($μ$) derived from the formula $\mu = \frac{F \cdot dy}{A \cdot du}$?

<p>$\frac{Ns}{m^2}$ or Pa$\cdot$s (D)</p> Signup and view all the answers

If the shear stress ($\tau$) in a fluid is 10 Pa and the velocity gradient ($\frac{du}{dy}$) is 2 s⁻¹, calculate the dynamic viscosity ($\mu$) of the fluid.

<p>5 Pa$\cdot$s (A)</p> Signup and view all the answers

In the first example, if $S1$ were doubled and $h1$ halved, while other parameters remained constant, how would the pressure difference ($PB - PA$) be affected?

<p>The pressure difference would remain the same. (A)</p> Signup and view all the answers

In the first example, if the specific weight of the fluid related to $S2$ increased by 10% , estimate the percentage change in $PB-PA$, assuming all other values remain constant. Consider only the first calculation.

<p>Approximately 7.3% increase (D)</p> Signup and view all the answers

In the mercury manometer problem, what would be the impact on $h2$ if the specific gravity of carbon tetrachloride ($S1$) were changed to 1.7, assuming all other parameters, including pressures in pipes A and B, remain constant?

<p>$h2$ would decrease. (C)</p> Signup and view all the answers

Using the mercury manometer problem, if both pressures $PA$ and $PB$ were increased by 20 kPa, what would be the effect on $h2$?

<p>$h2$ would remain the same. (A)</p> Signup and view all the answers

In the mercury manometer problem, if the specific weight of water were incorrectly taken as 10 kN/m3 during calculation, how would this affect the calculated value of $h2$?

<p>The calculated $h2$ would be lower. (C)</p> Signup and view all the answers

Considering the inverted differential manometer, how would an increase in $h1$ affect the pressure in pipe B ($PB$), assuming $PA$ and all specific gravities remain constant?

<p>$PB$ would decrease. (B)</p> Signup and view all the answers

If, in the inverted differential manometer setup, the fluid in pipe A were changed to one with a higher specific gravity while all other parameters remained constant, what adjustment would occur in $h3$ to maintain balance?

<p>$h3$ would need to increase. (C)</p> Signup and view all the answers

In the inverted differential manometer, suppose a small leak occurs in the connection to pipe A, causing $PA$ to decrease slightly. How would this affect the mercury level readings ($h1$, $h2$, and $h3$)?

<p>$h1$ would decrease, and $h2$ and $h3$ would increase. (C)</p> Signup and view all the answers

A cylindrical water tank with a base area of 5 $m^2$ is filled to a height of 2 meters. What is the pressure at the bottom of the tank due to the water's weight, assuming the density of water is 1000 $kg/m^3$ and $g = 9.8 m/s^2$?

<p>19,600 Pa (D)</p> Signup and view all the answers

If a barometer reads 750 mm of mercury, what does this indicate about atmospheric pressure compared to standard atmospheric pressure?

<p>The atmospheric pressure is lower than standard atmospheric pressure. (D)</p> Signup and view all the answers

A pressure gauge connected to a tank reads 150 kPa. If the atmospheric pressure is 101.3 kPa, what is the absolute pressure inside the tank?

<p>251.3 kPa (D)</p> Signup and view all the answers

In a scenario where a vacuum gauge reads -30 kPa, and the atmospheric pressure is 101.3 kPa, what is the absolute pressure?

<p>71.3 kPa (C)</p> Signup and view all the answers

Why is mercury commonly used in barometers for measuring atmospheric pressure?

<p>It has a high density, allowing for a more manageable column height (C)</p> Signup and view all the answers

If the pressure head at a certain depth in a liquid is 5 meters, and the specific weight of the liquid is 8000 $N/m^3$, what is the pressure at that depth?

<p>40,000 Pa (C)</p> Signup and view all the answers

What is the relationship between gauge pressure, atmospheric pressure, and absolute pressure when measuring positive pressures?

<p>Absolute Pressure = Gauge Pressure + Atmospheric Pressure (B)</p> Signup and view all the answers

How does altitude affect atmospheric pressure, and why?

<p>Atmospheric pressure decreases with altitude because there is less air above. (D)</p> Signup and view all the answers

In the U-tube manometer problem with oil (specific gravity 0.8) and mercury, what does $h_1$ represent in the calculation?

<p>The height of the oil column from the pipeline center to the mercury surface in the left limb. (D)</p> Signup and view all the answers

In the context of the first U-tube manometer problem, what is the significance of multiplying the specific gravity of a fluid by the density of water ($\omega$)?

<p>It calculates the density of the fluid. (B)</p> Signup and view all the answers

For the vacuum pressure problem, why is the term $(S_1h_1 + S_2h_2)$ negative in the equation $P_A = - \omega (S_1h_1 + S_2h_2)$?

<p>To indicate that the pressure $P_A$ is below atmospheric pressure (vacuum). (B)</p> Signup and view all the answers

In the vacuum pressure problem, if the specific gravity of the fluid were increased, how would this affect the calculated vacuum pressure ($P_A$)?

<p>$P_A$ would become more negative (further from zero). (A)</p> Signup and view all the answers

In the third problem, involving pipes A and B, what is the purpose of accounting for the 60 mm vertical distance between the pipes?

<p>To accurately calculate the hydrostatic pressure difference due to the different elevations. (A)</p> Signup and view all the answers

If the specific gravity of the liquid in pipe A is greater than that in pipe B, what can be inferred about the pressure in pipe A compared to pipe B, assuming all other variables remain constant?

<p>The pressure in pipe A must be higher than in pipe B. (C)</p> Signup and view all the answers

In the configuration described in the third problem, if the liquid in pipe B were replaced with a liquid of higher specific gravity, how would the mercury level difference in the manometer change, assuming the pressure in pipe A remains constant?

<p>The mercury level difference would increase. (C)</p> Signup and view all the answers

What adjustment would need to be made to the calculation for pressure difference if the U-tube manometer in the third problem used a fluid other than mercury, with a known specific gravity $S_3$?

<p>Replace the level difference of mercury with the new fluid's height and include $S_3$ in the pressure balance equation ($S_3h_3$). (D)</p> Signup and view all the answers

Flashcards

Hydrodynamics

Branch of hydraulics studying fluid motion, considering the forces causing it.

Hydrokinematics

Branch of hydraulics studying fluid motion, without considering the forces causing it.

Density (ρ)

Ratio of a fluid's mass to its volume, denoted by ρ.

Specific Weight (ω)

Weight per unit volume of a liquid, denoted by ω.

Signup and view all the flashcards

Specific Volume (ϑ)

Volume occupied by a unit mass of fluid.

Signup and view all the flashcards

Specific Gravity (S)

Ratio of a substance's density to a standard substance's density.

Signup and view all the flashcards

Density formula

mass / volume

Signup and view all the flashcards

Specific weight formula

weight / volume

Signup and view all the flashcards

Pressure Formula

Pressure at the bottom of a vessel equals the weight of the liquid divided by the area.

Signup and view all the flashcards

Pressure in a Fluid

Pressure equals the density of the fluid, times gravity, times the height of the fluid column.

Signup and view all the flashcards

Pressure Head

Height of a liquid column that corresponds to a particular pressure.

Signup and view all the flashcards

Atmospheric Pressure

The pressure exerted by the weight of the air above a given point.

Signup and view all the flashcards

Standard Atmospheric Pressure

Atmospheric pressure at mean sea level used as a standard reference.

Signup and view all the flashcards

Gauge Pressure

Pressure measured by gauges, relative to atmospheric pressure.

Signup and view all the flashcards

Vacuum Pressure

Pressure below atmospheric pressure.

Signup and view all the flashcards

Absolute Pressure

Pressure measured relative to absolute zero pressure.

Signup and view all the flashcards

Viscosity

A fluid's resistance to change shape or flow.

Signup and view all the flashcards

Newton's Law of Viscosity

Shear force (F) is proportional to area (A) and velocity gradient (du/dy).

Signup and view all the flashcards

Shear Stress Formula

τ = μ (du/dy); Shear stress equals viscosity times velocity gradient.

Signup and view all the flashcards

Dynamic Viscosity (μ)

Ratio of shear stress to the rate of shear strain in a fluid.

Signup and view all the flashcards

SI Unit of Viscosity

Pascal-second (Pa·s) or Ns/m²

Signup and view all the flashcards

Temperature's Effect on Viscosity

In liquids: viscosity decreases. In gases: viscosity increases.

Signup and view all the flashcards

Pressure Formula (Piezometer)

PA = ωh, where ω is the specific weight of the liquid and h is the pressure head.

Signup and view all the flashcards

Piezometer

A simple device to measure gauge pressure using the height of a liquid column.

Signup and view all the flashcards

Piezometer Limitations

Cannot measure vacuum pressure or large pressures in lighter liquids due to impractical tube lengths.

Signup and view all the flashcards

U-Tube Manometer

Overcomes piezometer limitations, useful for higher pressures, lighter liquids, and gas pressures.

Signup and view all the flashcards

U-Tube Manometer Function

Measures pressure by comparing heights of fluids in a U-shaped tube open to the atmosphere on one side.

Signup and view all the flashcards

Gauge Pressure (U-Tube)

PA + ω1h1 = ω2h2, where ω is specific weight and h is height for each fluid.

Signup and view all the flashcards

Vacuum Pressure (U-Tube)

PA = −(ω1h1 + ω2h2). Negative sign indicates vacuum.

Signup and view all the flashcards

Manometer Deflection

The height difference in the manometer fluid levels, used to calculate pressure differences.

Signup and view all the flashcards

Open to Atmosphere Manometer

A manometer setup where one end is exposed to the atmosphere.

Signup and view all the flashcards

Fluid Height (h)

The height of the fluid column above or below a reference point.

Signup and view all the flashcards

Fluid Pressure

Pressure at a point in a fluid, often measured using a manometer.

Signup and view all the flashcards

Pressure Difference Calculation

Pressure difference formula using specific gravity and height differences.

Signup and view all the flashcards

Differential Manometer

Device measuring pressure difference between two points.

Signup and view all the flashcards

S1

Specific gravity of carbon tetrachloride in pipe A.

Signup and view all the flashcards

S3

Specific gravity of oil in pipe B.

Signup and view all the flashcards

h1

Height of carbon tetrachloride column in manometer.

Signup and view all the flashcards

PA

Pressure in pipe A (Carbon Tetrachloride).

Signup and view all the flashcards

PB

Pressure in pipe B (Oil).

Signup and view all the flashcards

S1 (Inverted Manometer)

Specific gravity of liquid 1

Signup and view all the flashcards

h2 (Inverted Manometer)

Height difference for liquid 2 (S2)

Signup and view all the flashcards

Study Notes

Course Overview

  • The course covers fluid properties and pressure measurement techniques.
  • It includes definitions of fluid properties and problem-solving for density, specific weight, specific volume, and specific gravity.
  • Topics covered include pressure, pressure head, Pascal's law, absolute pressure, gauge pressure, atmospheric pressure, and vacuum pressures.
  • Covered are piezometers, U-tube manometers, differential manometers, inverted differential manometers, and Bourdon tubes. It also includes problem-solving for pressure measuring instruments.

Definition of Fluid

  • Fluids are substances capable of flowing.
  • A fluid deforms continuously when subjected to a shear force.

Classification of Fluids

  • Includes Liquids like water, oil or etc
  • Includes Gases and vapors like air, nitrogen etc
  • Liquids have definite volume and are not compressible.
  • Gases are compressible and can be expanded.

Fluid Mechanics

  • A science deals with fluids at rest or in motion.
  • Includes application of devices in engineering using fluids.

Hydraulics

  • Hydraulics is a science and engineering field.
  • It focuses with the mechanical properties of fluids.

Applications of Hydraulics

  • Hydraulics is used across a wide variety of industries
  • Such as machine tool, plastic processing, hydraulic presses, construction, lifting, agriculture, cement plants, oil refineries, steel mills, aerospace, distilleries, paper, cotton, dairy, and chemical plants.

Classification of Hydraulics

  • Hydrostatics deals with the behaviour of fluids at rest, such as water stored in a reservoir, laws governing the behavior of fluid at rest.
  • Hydrodynamics involves fluids in motion, considering the forces that cause the motion, such as water flowing through a turbine, water discharged by a punp etc.
  • Hydrokinematics the behaivor of fluids in motion without counting forces.

Properties of Fluids: Density/Mass Density (P)

  • Density is the ratio of mass to volume, denoted by ρ (rho).
  • The formula is ρ = m/V, where m is mass in kg and V is volume in m³.
  • SI unit is kg/m³.
  • Liquids have constant (considered constant) densities.
  • Gases change density based on pressure and temperature.
  • The density of water is 1000 kg/m³.

Specific Weight/Weight Density (ω)

  • Specific weight is the ratio of weight per unit volume.
  • Also known as weight density, denoted by ω (omega).
  • It is calculated as ω = W/V, where W is weight (N) and V is volume.
  • Given by mass of fluid x acceleration due to gravity.
  • W = mg.
  • Given by ω = pg
  • Measured in N/m³.
  • Specific weight of water is 9810 N/m³ (1000 x 9.81).

Specific Volume (ϑ)

  • Specific volume is the volume of a fluid occupied by a unit mass.
  • Formula is ϑ = V/m = 1/ρ.
  • It is the reciprocal of mass density.
  • SI unit is m³/kg.

Specific Gravity/Relative Density (S)

  • Specific gravity is the ratio of a substance's mass density to a standard substance's mass density.
  • Weight density of substance to the weight density of a standard substance.
  • Standard substance is water at 4°C for liquids.
  • Gases use air or hydrogen at 0°C.
  • Represented as: Sliquid = ρliquid/ρwater or ωliquid/ωwater.
  • Sgas = ρgas/ρair or ωgas/ωair.
  • Specific gravity is a unitless quantity.
  • Specific gravity of water is 1.
  • Specific gravity of mercury is 13.6.

Viscosity

  • Viscosity measures a fluid's resistance to change its shape.
  • How much it resists movement of one layer over another.
  • Liquid viscosity decreases with temperature increase.
  • Gas viscosity increases with temperature increase.

Newton's Law of Viscosity

  • Velocity is not uniform across a cross section when fluid flows over a solid surface.
  • Velocity is zero at the solid surfac.
  • Velocity increases towards the free stream.
  • Shear force between fluid layers is proportional to velocity difference and area and inversely proportional to the distance between them.
  • Defined as F ∝ A (du/dy)
  • Shear deformation, velocity gradient, or rate of shear strain = du/dy

Viscosity cont

  • Shear stress on a fluid is proportional to the rate of change of shear strain.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Untitled Quiz
6 questions

Untitled Quiz

AdoredHealing avatar
AdoredHealing
Untitled
44 questions

Untitled

ExaltingAndradite avatar
ExaltingAndradite
Untitled
6 questions

Untitled

StrikingParadise avatar
StrikingParadise
Untitled Quiz
50 questions

Untitled Quiz

JoyousSulfur avatar
JoyousSulfur
Use Quizgecko on...
Browser
Browser