Fluid Mechanics in Chemical Engineering

Video Lectures

Displaying all 31 video lectures.
I. Non-Newtonian Fluids & Surface Tension
Lecture 1
What is a Fluid?
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What is a Fluid?
Introductory lecture presenting a discussion of the key properties that distinguish fluids from other states of matter, a brief review of thermodynamic properties relevant to fluid mechanics, and the continuum approximation.
Lecture 2
Introduction to Fluid Viscosity
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Introduction to Fluid Viscosity
Introduction to the concept of fluid viscosity and its definition in terms of the relationship between shear stress and deformation.
Lecture 3
Surface Tension and its Length Scale Dependence
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Surface Tension and its Length Scale Dependence
Surface Tension, Part 1: Fundamental definition of surface tension and its length scale dependence.
Lecture 4
The Young-Laplace Equation
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The Young-Laplace Equation
Surface Tension, Part 2: Origin of the Young-Laplace equation.
Lecture 5
Flow, Deformation, Strain and Strain Rates
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Flow, Deformation, Strain and Strain Rates
Non-Newtonian Fluids, Part 1: Expressing flow and deformation in terms of strain and strain rates.
Lecture 6
Non-Newtonian Behavior: Shear Thinning, Shear Thickening, Bingham Plastic
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Non-Newtonian Behavior: Shear Thinning, Shear Thickening, Bingham Plastic
Non-Newtonian Fluids, Part 2: Common types of non-Newtonian behavior (shear thinning, shear thickening, Bingham-plastic). Learn how to walk on water!
Lecture 7
Power Law Model of Shear Thinning Behavior
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Power Law Model of Shear Thinning Behavior
Non-Newtonian Fluids, Part 3: The power law model of shear thinning behavior.
Lecture 8
Velocity Gradients and Rates of Deformation
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Velocity Gradients and Rates of Deformation
Non-Newtonian Fluids, Part 4: Relationship between velocity gradients and rates of deformation.
II. Conservation of Mass
Lecture 9
Introduction to Conservation of Mass
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Introduction to Conservation of Mass
Conservation of Mass, Part 1: Introduction to conservation of mass and description of mass flow through a surface.
Lecture 10
Differential Form of the Conservation of Mass
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Differential Form of the Conservation of Mass
Conservation of Mass, Part 2: Differential form of the conservation of mass.
Lecture 11
Differential Form of the Conservation of Mass II
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Differential Form of the Conservation of Mass II
Conservation of Mass, Part 3: Differential form of the conservation of mass.
Lecture 12
Integral Form of the Conservation of Mass
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Integral Form of the Conservation of Mass
Conservation of Mass, Part 4: Integral form of the conservation of mass.
Lecture 13
Integral Form of the Conservation of Mass II
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Integral Form of the Conservation of Mass II
Conservation of Mass, Part 5: Integral form of the conservation of mass, definition of average velocity.
III. Coordinate Transformations
Lecture 14
Transformation between Cartesian and Cylindrical Coordinates
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Transformation between Cartesian and Cylindrical Coordinates
Coordinate Transformations, Part 1: Introduction to transformation between Cartesian and cylindrical coordinates.
Lecture 15
Velocity Vectors in Cartesian and Cylindrical Coordinates
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Velocity Vectors in Cartesian and Cylindrical Coordinates
Coordinate Transformations, Part 2: Transforming velocity vectors between cartesian and cylindrical coordinates.
Lecture 16
Continuity Equation in Cartesian and Cylindrical Coordinates
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Continuity Equation in Cartesian and Cylindrical Coordinates
Coordinate Transformations, Part 3: Transforming the continuity equation from cartesian to cylindrical coordinates.
IV. Conservation of Momentum
Lecture 17
Introduction to Conservation of Momentum
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Introduction to Conservation of Momentum
Conservation of Momentum, Part 1: Introduction to conservation of momentum and stress tensor notation.
Lecture 18
Sum of Forces on a Fluid Element
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Sum of Forces on a Fluid Element
Conservation of Momentum, Part 2: Expressing the sum of the forces on a fluid element.
Lecture 19
Expression of Inflow and Outflow of Momentum
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Expression of Inflow and Outflow of Momentum
Conservation of Momentum, Part 3: Expressing inflow and outflow of momentum.
Lecture 20
Cauchy Momentum Equations and the Navier-Stokes Equations
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Cauchy Momentum Equations and the Navier-Stokes Equations
Conservation of Momentum, Part 4: Putting everything together to obtain the Cauchy momentum equations, and the Navier-Stokes equations.
Lecture 21
Non-dimensionalization of the Navier-Stokes Equations & The Reynolds Number
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Non-dimensionalization of the Navier-Stokes Equations & The Reynolds Number
Conservation of Momentum, Part 5: Non-dimensionalization of the Navier-Stokes Equations. Origin and significance of the Reynolds number.
V. Applying the Navier-Stokes Equations
Lecture 22
Solving Problems Using the Navier-Stokes Equations
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Solving Problems Using the Navier-Stokes Equations
Applying the Navier-Stokes Equations, Part 1: General procedure to solve problems using the Navier-Stokes equations. Application to analysis of flow through a pipe.
Lecture 23
Conservation of Mass and Momentum: Analysis of Flow Through a Pipe
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Conservation of Mass and Momentum: Analysis of Flow Through a Pipe
Applying the Navier-Stokes Equations, Part 2: Simplifying conservation of mass and momentum for analysis of flow through a pipe.
Lecture 24
Pressure Gradient Term in Pipe Flow
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Pressure Gradient Term in Pipe Flow
Applying the Navier-Stokes Equations, Part 3: How to handle the pressure gradient term in pipe flow.
Lecture 25
Velocity Profile and Volume Flow Rate in Pipe Flow
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Velocity Profile and Volume Flow Rate in Pipe Flow
Applying the Navier-Stokes Equations, Part 4: Solving for the velocity profile and volume flow rate in pipe flow.
VI. Conservation of Energy
Lecture 26
Introduction to Conservation of Energy & Bernoulli's Equation
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Introduction to Conservation of Energy & Bernoulli's Equation
Conservation of Energy, Part 1: Introduction to conservation of energy, foundation for Bernoulli's equation.
Lecture 27
Obtaining Bernoulli's Equation from Conservation of Energy
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Obtaining Bernoulli's Equation from Conservation of Energy
Conservation of Energy, Part 2: Applying conservation of energy to obtain Bernoulli's equation.
VII. Losses & Friction Factors
Lecture 28
Kinetic Energy Correction Factor for Bernoulli's Equation
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Kinetic Energy Correction Factor for Bernoulli's Equation
Losses & Friction Factors, Part 1: Kinetic energy correction factor for Bernoulli's equation.
Lecture 29
Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
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Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
Losses & Friction Factors, Part 2: Obtaining a viscous loss correction for Bernoulli's equation in pipe flow by application of a macroscopic momentum balance.
Lecture 30
Macroscopic Momentum Balance to Obtain a Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
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Macroscopic Momentum Balance to Obtain a Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
Losses & Friction Factors, Part 3: Continuation of macroscopic momentum balance to obtain a viscous loss correction for Bernoulli's equation in pipe flow.
Lecture 31
Friction Factors Expressing the Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
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Friction Factors Expressing the Viscous Loss Correction for Bernoulli's Equation in Pipe Flow
Losses & Friction Factors, Part 4: Definition of friction factors expressing the viscous loss correction for Bernoulli's equation in pipe flow.