Podcast
Questions and Answers
In hydrodynamics, what factor is considered when analyzing fluid motion that is disregarded in hydrokinematics?
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?
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?
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?
What is the specific weight of a liquid with a density of 800 kg/m³?
If the specific weight of a fluid is 12000 N/m³, what is its density?
If the specific weight of a fluid is 12000 N/m³, what is its density?
A fluid has a density of 1200 kg/m³. What is its specific volume?
A fluid has a density of 1200 kg/m³. What is its specific volume?
If a substance has a specific gravity of 0.8 compared to water, what is its density?
If a substance has a specific gravity of 0.8 compared to water, what is its density?
For which type of substance is air or hydrogen at 0°C considered the standard substance when determining specific gravity?
For which type of substance is air or hydrogen at 0°C considered the standard substance when determining specific gravity?
A piezometer cannot measure which of the following effectively?
A piezometer cannot measure which of the following effectively?
What is a key limitation of using a piezometer for pressure measurement?
What is a key limitation of using a piezometer for pressure measurement?
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?
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?
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?
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?
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?
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?
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:
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:
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?
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?
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)?
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)?
A fluid's resistance to change its shape is called what?
A fluid's resistance to change its shape is called what?
How does temperature affect viscosity in liquids and gases?
How does temperature affect viscosity in liquids and gases?
According to Newton's Law of Viscosity, what is the relationship between shear force (F) and the velocity gradient (du/dy)?
According to Newton's Law of Viscosity, what is the relationship between shear force (F) and the velocity gradient (du/dy)?
In the context of fluid flow over a solid surface, where is the velocity of the fluid typically zero?
In the context of fluid flow over a solid surface, where is the velocity of the fluid typically zero?
What does the term 'shear deformation' refer to in the context of viscosity?
What does the term 'shear deformation' refer to in the context of viscosity?
If a fluid has a high coefficient of dynamic viscosity, what does this indicate about its flow?
If a fluid has a high coefficient of dynamic viscosity, what does this indicate about its flow?
What are the units for dynamic viscosity ($μ$) derived from the formula $\mu = \frac{F \cdot dy}{A \cdot du}$?
What are the units for dynamic viscosity ($μ$) derived from the formula $\mu = \frac{F \cdot dy}{A \cdot du}$?
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.
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.
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?
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?
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.
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.
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?
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?
Using the mercury manometer problem, if both pressures $PA$ and $PB$ were increased by 20 kPa, what would be the effect on $h2$?
Using the mercury manometer problem, if both pressures $PA$ and $PB$ were increased by 20 kPa, what would be the effect on $h2$?
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 $h2$?
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 $h2$?
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?
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?
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?
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?
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 $h3$)?
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 $h3$)?
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 $g = 9.8 m/s^2$?
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 $g = 9.8 m/s^2$?
If a barometer reads 750 mm of mercury, what does this indicate about atmospheric pressure compared to standard atmospheric pressure?
If a barometer reads 750 mm of mercury, what does this indicate about atmospheric pressure compared to standard atmospheric pressure?
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?
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?
In a scenario where a vacuum gauge reads -30 kPa, and the atmospheric pressure is 101.3 kPa, what is the absolute pressure?
In a scenario where a vacuum gauge reads -30 kPa, and the atmospheric pressure is 101.3 kPa, what is the absolute pressure?
Why is mercury commonly used in barometers for measuring atmospheric pressure?
Why is mercury commonly used in barometers for measuring atmospheric pressure?
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?
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?
What is the relationship between gauge pressure, atmospheric pressure, and absolute pressure when measuring positive pressures?
What is the relationship between gauge pressure, atmospheric pressure, and absolute pressure when measuring positive pressures?
How does altitude affect atmospheric pressure, and why?
How does altitude affect atmospheric pressure, and why?
In the U-tube manometer problem with oil (specific gravity 0.8) and mercury, what does $h_1$ represent in the calculation?
In the U-tube manometer problem with oil (specific gravity 0.8) and mercury, what does $h_1$ represent in the calculation?
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 ($\omega$)?
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 ($\omega$)?
For the vacuum pressure problem, why is the term $(S_1h_1 + S_2h_2)$ negative in the equation $P_A = - \omega (S_1h_1 + S_2h_2)$?
For the vacuum pressure problem, why is the term $(S_1h_1 + S_2h_2)$ negative in the equation $P_A = - \omega (S_1h_1 + S_2h_2)$?
In the vacuum pressure problem, if the specific gravity of the fluid were increased, how would this affect the calculated vacuum pressure ($P_A$)?
In the vacuum pressure problem, if the specific gravity of the fluid were increased, how would this affect the calculated vacuum pressure ($P_A$)?
In the third problem, involving pipes A and B, what is the purpose of accounting for the 60 mm vertical distance between the pipes?
In the third problem, involving pipes A and B, what is the purpose of accounting for the 60 mm vertical distance between the pipes?
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?
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?
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?
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?
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 $S_3$?
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 $S_3$?
Flashcards
Hydrodynamics
Hydrodynamics
Branch of hydraulics studying fluid motion, considering the forces causing it.
Hydrokinematics
Hydrokinematics
Branch of hydraulics studying fluid motion, without considering the forces causing it.
Density (ρ)
Density (ρ)
Ratio of a fluid's mass to its volume, denoted by ρ.
Specific Weight (ω)
Specific Weight (ω)
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Specific Volume (ϑ)
Specific Volume (ϑ)
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Specific Gravity (S)
Specific Gravity (S)
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Density formula
Density formula
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Specific weight formula
Specific weight formula
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Pressure Formula
Pressure Formula
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Pressure in a Fluid
Pressure in a Fluid
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Pressure Head
Pressure Head
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Atmospheric Pressure
Atmospheric Pressure
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Standard Atmospheric Pressure
Standard Atmospheric Pressure
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Gauge Pressure
Gauge Pressure
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Vacuum Pressure
Vacuum Pressure
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Absolute Pressure
Absolute Pressure
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Viscosity
Viscosity
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Newton's Law of Viscosity
Newton's Law of Viscosity
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Shear Stress Formula
Shear Stress Formula
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Dynamic Viscosity (μ)
Dynamic Viscosity (μ)
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SI Unit of Viscosity
SI Unit of Viscosity
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Temperature's Effect on Viscosity
Temperature's Effect on Viscosity
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Pressure Formula (Piezometer)
Pressure Formula (Piezometer)
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Piezometer
Piezometer
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Piezometer Limitations
Piezometer Limitations
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U-Tube Manometer
U-Tube Manometer
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U-Tube Manometer Function
U-Tube Manometer Function
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Gauge Pressure (U-Tube)
Gauge Pressure (U-Tube)
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Vacuum Pressure (U-Tube)
Vacuum Pressure (U-Tube)
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Manometer Deflection
Manometer Deflection
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Open to Atmosphere Manometer
Open to Atmosphere Manometer
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Fluid Height (h)
Fluid Height (h)
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Fluid Pressure
Fluid Pressure
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Pressure Difference Calculation
Pressure Difference Calculation
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Differential Manometer
Differential Manometer
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S1
S1
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S3
S3
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h1
h1
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PA
PA
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PB
PB
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S1 (Inverted Manometer)
S1 (Inverted Manometer)
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h2 (Inverted Manometer)
h2 (Inverted Manometer)
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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.
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