Category: Fluid Mechanics II
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Momentum Integral Theory: Kármán’s Analysis of the Flat Plate
In this lesson, we will be discussing the following topics: 1. Momentum Thickness (θ or δ**), Drag (D) 2. Thickness (δ) Estimate 3. Shear Stress (Tw) Estimate 4. Displacement Thickness (δ*) 5. Example – Is the Boundary Layer Thin? video coming soon In 1921, Von Kármán proposed a momentum integral theory for solving boundary layer…
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Reynolds Number and Geometry Effects
In this lesson, we will discuss the following topics: 1. What is Flow Past Immersed Bodies 2. Example – Calculating Distance to a given Boundary Layer Thickness video coming soon What is Flow Past Immersed Bodies Since this is the first lesson in this chapter, let’s discuss what this chapter is even about – Flow…
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Boundary Conditions
In today’s lesson, we will be discussing the following topics: 1. Introduction to Boundary Conditions 2. Common Boundary Conditions 3. Example 1 – Using Boundary Conditions to find temperature as a function of radius 4. Example 2 – Using Boundary Conditions to determine unknown constants video coming soon Introduction to Boundary Conditions The three main…
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Reynolds Number Regimes
In today’s lesson, we will be discussing the following topics: 1. Intro to Reynolds Number 2. Fluid Flow Graphs 3. Reynolds Number Ranges 4. Reynolds Number Equation 5. Example – Using Reynolds Number Video coming soon In this chapter, we will focus on flow in ducts. Since this entire course is related to fluid flow,…
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Laminar and Turbulent Pipe Flow; Head Loss
In this lesson, we will cover the following topics: 1. Laminar Fully Developed Pipe Flow & Equations 2. Example 1 – Inclined Pipe: Is the Flow Laminar? 3. Turbulent Pipe Flow & Equations 4. Turbulent Pipe Flow – Effect of Rough Walls, Moody Chart 5. Example 2 – Finding Head Loss and Pressure Drop 6.…
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The Pi Theorem
In today’s lesson, we will be discussing the following topics: 1. Buckingham Pi Theorem 2. Example 1 – Using Buckingham Pi Theorem 3. Alternate Method by Ipsen 4. Example 2 – Ipsen’s Method Video coming soon Buckingham Pi Theorem There are many different ways to reduce the number of dimensional variables in an equation (nondimensionalize…
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Dimensional Analysis, Similarity and Scaling Parameters
In today’s lesson, we will be discussing the following topics: 1. Dimensional Homogeneity 2. Definitions (Similarity, Dimensional Variables, Dimensional Constants, Pure Constants) 3. Scaling Parameters 4. Example 1: Using similarity 5. Example 2: Selecting and using scaling parameters Video coming soon Dimensional Homogeneity First, what is Dimensional Analysis? Dimensional analysis is a way that we…
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Differential Equation of Mass, Energy and Momentum Conservation
In today’s lesson, we will be covering the following topics: 1. Differential Equation of Mass Conservation 2. Differential Equation of Energy Conservation 3. Differential Equation of Linear Momentum Conservation (Navier-Stokes) 4. Differential Equation of Angular Momentum Conservation Video will be here soon! Differential Equation of Mass Conservation Let’s look at a fluid going in and…
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Velocity and Acceleration Fields; Coordinate Systems; Stagnation Points
In this lesson, we will be discussing the following topics: 1. Coordinate Systems 2. Velocity Field and Types of Flow 3. Kinematic Properties of Fluids 4. Acceleration Field of a Fluid 5. Example – Finding acceleration of a particle using the above equations 6. Stagnation Points 7. Example – Stagnation Points Video coming soon Coordinate…
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