Fluid Mechanics Fundamentals Quiz

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Questions and Answers

What does fluid mechanics primarily study?

  • The behavior of solids under stress
  • The reaction of fluids to the forces affecting them (correct)
  • The classification of different states of matter
  • The movement of gases only

What is the relationship between volume flow rate (Q) and average velocity (V)?

  • Q = V/A
  • Q = A/V
  • Q = AV (correct)
  • Q = A + V

What does the Reynolds Transport Theorem (RTT) facilitate?

  • Providing a static view of fluids
  • Sudden changes in fluid density over time
  • Converting control volume analysis to system analysis
  • Translating system analysis to control volume analysis (correct)

In the context of the mass flow rate, what does the variable 𝑚̇ represent?

<p>The rate of mass entering or leaving a control volume (C)</p> Signup and view all the answers

Which conservation law is NOT typically applied in fluid mechanics?

<p>Thermodynamic equilibrium conservation (B)</p> Signup and view all the answers

Given an initial mass of 20 kg, an inlet mass flow rate of 12 kg/s, and an outlet mass flow rate of 10 kg/s, what is the final mass in the tank after 5 seconds?

<p>40 kg (A)</p> Signup and view all the answers

What is the definition of a fluid in the context of this subject?

<p>Any material that changes shape under stress. (B)</p> Signup and view all the answers

What does control volume analysis focus on in fluid mechanics?

<p>Applying laws of mechanics to a defined space (C)</p> Signup and view all the answers

What does CV stand for in the context of control volume analysis?

<p>Control Volume (A)</p> Signup and view all the answers

Which of the following describes the conservation of mass in a control volume with steady flow?

<p>The total mass flowing in equals the total mass flowing out. (C)</p> Signup and view all the answers

What is the equation for linear momentum in a control volume?

<p>B = mV (D)</p> Signup and view all the answers

Which of the following components are involved in the linear momentum equation?

<p>Three components: x, y, and z (C)</p> Signup and view all the answers

What is the pressure force acting on a control volume based on gauge pressure?

<p>Pressure force = PA (B)</p> Signup and view all the answers

Which type of flow condition is assumed for the one-dimensional application of mass and momentum conservation?

<p>Uniform velocity and density over the area (C)</p> Signup and view all the answers

What is indicated by the symbols $ ho$, V, and A in the fluid dynamics equations?

<p>Density, Velocity, Area (C)</p> Signup and view all the answers

What type of forces are considered in the momentum conservation of control volume analysis?

<p>Both reaction and pressure forces (D)</p> Signup and view all the answers

What is the final mass in the tank after 5 seconds if the mass flow rate inlet is 10 kg/s and the mass flow rate outlet is 12 kg/s?

<p>10 kg (B)</p> Signup and view all the answers

If the inlet mass flow rate is 12 kg/s and the outlet mass flow rate is also 12 kg/s, what will be the final mass in the tank after 5 seconds?

<p>20 kg (D)</p> Signup and view all the answers

Determine the final mass in the tank after 5 seconds when the inlet flow rate is 12 kg/s and the outlet flow rate is 10 kg/s.

<p>30 kg (B)</p> Signup and view all the answers

What is the assumption related to flow characteristics in Couette flow?

<p>It is incompressible and viscous. (A)</p> Signup and view all the answers

What is the mathematical expression used to calculate the change in mass in the tank?

<p>$ rac{dm}{dt} = rac{m_i - m_o}{ riangle t}$ (C)</p> Signup and view all the answers

For which flow condition does the conservation of mass state that the mass flow rate is constant over time?

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

In an incompressible flow, how does the density of the fluid behave?

<p>It remains constant throughout the flow. (C)</p> Signup and view all the answers

If the tank has an initial mass of 20 kg with an inlet mass flow rate of 10 kg/s and an outlet rate of 10 kg/s, what will be the mass after 5 seconds?

<p>20 kg (B)</p> Signup and view all the answers

Which equation is used to analyze momentum equations in fluid dynamics?

<p>Navier-Stokes equations (A)</p> Signup and view all the answers

What factor determines whether the mass in the tank will increase or decrease over time?

<p>Difference between inlet and outlet mass flow rates (C)</p> Signup and view all the answers

After executing measurements with both inlet and outlet mass flow rates at 12 kg/s, how will the mass in the tank change over time?

<p>It will stabilize at 20 kg. (D)</p> Signup and view all the answers

What does the flow rate $Q$ express mathematically as shown in the content?

<p>$Q = rac{ ext{integral of } u}{A}$ (D)</p> Signup and view all the answers

In steady flow, which relationship holds true for mass flow rates?

<p>$ṁ_i = ṁ_o$ (B)</p> Signup and view all the answers

Given an initial mass of 20 kg in the tank, what will be the final mass if the inlet flow rate is 12 kg/s and the outlet flow rate is 10 kg for 5 seconds?

<p>30 kg (A)</p> Signup and view all the answers

Where does the maximum velocity occur in a flow profile?

<p>Where the velocity gradient equals zero. (B)</p> Signup and view all the answers

Which fluid flow is characterized as having both a steady and compressible nature?

<p>Compressible, one-dimensional flow (D)</p> Signup and view all the answers

What is the relationship between mass flow rate in and out of a system under steady flow conditions?

<p>Mass flow rate in equals mass flow rate out. (B)</p> Signup and view all the answers

When dealing with incompressible fluids in a fixed control volume, what does the change in mass flow rate equal?

<p>Zero. (C)</p> Signup and view all the answers

In the context of Reynolds Transport Theorem, which variable represents linear momentum?

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

If the height difference, Δh, is 1m - 30cm, what is the change in height expressed in meters?

<p>0.7 m (B)</p> Signup and view all the answers

What is the formula used to calculate the time change, Δt, based on the height changes and the differential in height, dh?

<p>Δt = Δh / dh (D)</p> Signup and view all the answers

In a fluid dynamics context, what does the term 'deformable control volume' imply?

<p>The volume itself can change while maintaining mass conservation. (D)</p> Signup and view all the answers

What must be true for the flow rates at multiple inlets and outlets to be applicable under the principles discussed?

<p>There must be a definite number of inlets and outlets. (D)</p> Signup and view all the answers

In the context provided, what is concluded about the density of water?

<p>Density can be assumed constant under typical conditions. (C)</p> Signup and view all the answers

What is the formula for the pressure force applied to a control volume?

<p>Pressure force = PA (C)</p> Signup and view all the answers

In the context of angular momentum, what does B represent?

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

Which statement about torque is true?

<p>Counterclockwise rotation generates positive torque. (D)</p> Signup and view all the answers

What happens to the linear momentum equation if the cross-section is one-dimensional?

<p>v and ρ are assumed to be uniform over the area. (D)</p> Signup and view all the answers

How is power related to head in the context of fluid dynamics?

<p>Power = ṁgH (B)</p> Signup and view all the answers

What indicates a positive gauge pressure on a control volume?

<p>It is applied to the control volume from inside. (C)</p> Signup and view all the answers

What does a reaction force in a control volume relate to?

<p>The fluid dynamics within the control volume. (B)</p> Signup and view all the answers

Which expression defines mass flow rate?

<p>ṁ = ρAV (C)</p> Signup and view all the answers

Flashcards

Fluid

A substance that continuously deforms when subjected to a stress.

Fluid Mechanics

The study of forces on fluids at rest (statics) or in motion (dynamics).

Reynolds Transport Theorem (RTT)

A tool to convert system analysis (entire system) to control volume analysis (specific region).

Control Volume (CV)

A specific region of interest in fluid flow used for analysis.

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Mass flow rate

The rate at which mass flows through a given area.

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Volume flow rate

The rate at which volume flows through a given area.

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Mass Conservation

Mass cannot be created or destroyed in a closed system.

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Average Velocity

The total distance travelled by fluid divided by the total time.

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Mass flow rate

The mass of a substance flowing per unit time.

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Inlet mass flow rate

Mass flow rate entering a system.

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Outlet mass flow rate

Mass flow rate leaving a system.

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Change in tank mass

Difference in the mass of a tank at a given time

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Calculating final tank mass

Determine the final mass in the tank given initial mass, inlet and outlet flow rates, and time duration.

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m1

Initial mass in a tank.

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m2

Final mass in a tank.

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Δt

Change in time.

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Units of mass flow rate m

kilograms per second (kg/s)

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Control Volume (CV)

A specific region in space chosen for analysis, used to apply conservation laws to fluid flow.

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Reynolds Transport Theorem (RTT)

A method to convert system analysis using conservation laws to control volume analysis of fluid flow.

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Conservation of Mass

Mass can neither be created nor destroyed in a control volume.

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Steady Flow

Flow properties (density, velocity, etc.) at a point in the control volume do not change with time.

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Linear Momentum Equation

Equation that describes the effect of forces on the linear momentum of a fluid within a control volume.

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Density (ρ)

Mass per unit volume of a fluid.

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Velocity (V)

Speed and direction of fluid flow.

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Area (A)

Cross-sectional area through which the fluid flows.

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Pressure Force

Force exerted by fluid pressure on a surface.

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Reaction Forces

Forces that arise from momentum changes exerted on a control volume.

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Incompressible Fluid, deformable CV

For incompressible fluids within a changing control volume, the density remains constant, and the change in mass within the volume is equal to the net mass flow in or out.

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Compressible Fluid, Fixed CV

For compressible fluids in a fixed control volume, mass flow in minus mass flow out equals the change of mass in the control volume.

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Compressible Fluid, deformable CV

For compressible fluids in a changing control volume, the mass flow is related to the density, velocity and change of volume.

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Incompressible Fluid, Fixed CV

In a fixed control volume with an incompressible fluid, mass flow into the control volume is equal to mass flow out of the control volume.

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Steady Flow

In steady flow, the mass flow rate in is equal to the mass flow rate out.

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Mass Conservation

Mass cannot be created or destroyed; the total mass within a system remains constant.

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Volume Flow Rate

The rate at which volume flows through a given area.

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Mass Flow Rate

Rate at which mass flows through a surface.

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Linear Momentum Equation

The equation that describes the rate of change of linear momentum within a control volume. It accounts for forces acting on the CV and momentum flow into/out of the CV.

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Control Volume (CV)

A designated volume chosen for analysis in fluid mechanics. It is the 3D region within which fluid flow is studied.

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Reaction Forces

External forces acting on the control volume (CV) boundaries. These forces are interactions with the environment surrounding the chosen CV.

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Pressure Force

Force due to pressure acting on a surface, Positive if directed into the CV.

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Weight Force

Force exerted by gravity on the fluid within the control volume. It acts downward vertically.

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Angular Momentum

A measure of the rotational motion of a body. For a particle defined as the vector product of its position relative to a reference point with its linear momentum .

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Torque

A measure of the tendency of a force to cause rotation about an axis.

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Power (Fluid)

Rate at which energy is transferred by a fluid

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Conservation of Mass (Steady Flow)

In steady flow, the mass entering a system equals the mass leaving the system.

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Conservation of Mass (Unsteady Flow) (3D)

The accumulation of mass within a control volume equals the difference between the rate of mass entering and leaving.

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Control volume

A specified region of interest to study fluid flow or analyze a process. It's a specific part of the system.

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Mass flow rate

The rate at which mass passes through a given area.

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Steady Flow (1D)

A flow where the properties (density, velocity, pressure) at any point in the system do not change with time.

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Compressible Flow

A flow where the density of the fluid is not constant.

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Incompressible Flow

A flow where the density of the fluid is constant.

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Momentum Equation

Describes the forces acting on a fluid particle causing its motion.

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Navier-Stokes Equations

Mathematical equations describing the motion of viscous fluids.

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Couette Flow

The flow between two parallel plates, one stationary, the other moving.

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Volume flow rate

The rate at which volume passes through an area.

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Mean Velocity

Average velocity of the fluid over a cross-sectional area.

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Maximum Velocity

Highest speed of the fluid at a particular point in the channel.

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Study Notes

Course Information

  • Course Title: Aeronautical & Aerospace Engineering
  • Course Sub-title: Flow Machines & Advanced Fluid Dynamics
  • Course Code: MEC351
  • Lecturer: Dr. Mohammed Rabie
  • University: Mansoura University

Lecture 1: Introduction to Flow Machines and Advanced Fluid Dynamics

  • Fluid is a material that continuously deforms when subjected to stress
  • Types of fluids include liquids and gases
  • Fluid mechanics studies the behavior of fluids at rest (statics) or in motion (dynamics)
  • Applications include aeronautical engineering, marine engineering, meteorology, oceanography, and blood flow

Grading System

  • Quizzes & Attendance
  • Section
  • Project, Midterm, Final

Course Outline

  • Introduction
  • Control Volume Analysis
    • Mass conservation
    • Linear momentum conservation
    • Angular momentum conservation
    • Energy conservation
  • Differential Analysis
    • Mass conservation
    • Momentum conservation
    • Energy conservation
  • Boundary Layer
  • Potential Flow
  • Introduction to Flow Machines

Lecture 2: RTT Momentum Conservation (Linear)

  • Reynolds Transport Theorem
    • Used to convert system analysis to control volume analysis
  • Applying Reynolds Transport Theorem to Momentum in a Control Volume
  • Forces on a Control Volume:
    • Reaction forces
    • Pressure force
    • Weight
    • Frictional force

Lecture 3: RTT Momentum Conservation (Angular)

  • Angular Momentum Equation:
    • Moment of Momentum Equation
    • Relation between Torque and Angular Momentum Change

Lecture 4: RTT Energy Conservation

  • Energy Equation
  • Energy per unit mass (e): internal, kinetic, potential, and other terms

Tutorial 1: Introduction to Flow Machines and Advanced Fluid

  • -Dynamics

Tutorial 2: RTT Momentum Conservation (Linear)

Tutorial 3: RTT Momentum Conservation (Angular)

Tutorial 4: RTT Energy Conservation

Example Problems and Solutions

  • Detailed solutions are presented for a range of examples related to fluid dynamics, including pipe flow, nozzles, tanks, and rocket motors.
  • Numerical values for pressures, velocities, flow rates, and other parameters are used throughout.

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