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Share Embed. Download Algoritmos Numericos - Frederico Ferreira naturalswiss-csalas. Uploaded by Isabella Ferreira. Flag for. Lesson 4: Pressure Drop in Pipe Lesson 4: Lesson 1: Hydraulic Pumps Image source: Hydraulic Pumps Learning Objectives In this lesson we will: Distinguish two types of pumps Define the circulating system for a typical rotary drilling Identify a working drilling rig circulation system Explain how the Double Acting Duplex Pump works Explain how mud pumps work and label parts of a pump Calculate the output flow rate Note: Instructor will go through a series of examples and expect students to work through remaining examples as homework or in class in groups.

Mud Pumps http: How Single Acting. Class Activity: A volumetric efficiency. Example 1 Solution 10"x 20" describes the pump as. Example 3 Volumetric Displacement Using a flow meter.

Calculate the volumetric efficiency of the pump. Pump Displacement and Output Flow Rate Pump displacement and output flow rate can be calculated in the same manner as for the single cylinder by multiplying by 2 cylinders. Pump Displacement and Output Volume Rates Pump displacement and output volume rates can be calculated for each side of the piston is the total volume of the cylinder. Example 5 Calculate Output Flow Calculate the output flow rate for a 7"x14". Single cylinder pump with an 8" cylinder diameter and a 2.

Formula for Volumetric Displacement for Double-Acting. Since each one-half of the cycle the discharged volumes are equal. Since the two cylinders are driven by connector rods connected to a common crank. Pump output flow rate can be calculated from the required upward annular circulating from the required upward annular circulating velocity and the pump output pressure will be the pressure required to overcome the pressure drops around the circulating system inside the drill string.

Horse Power Requirements Hydraulic horsepower can be calculated from the flow rate and the pressure. Calculate the output flow rate of a 6"x12" Double-acting. Example 10 Solution Cont. The input Hp from the engine must have overcome both mechanical and volumetric losses to produce a given output Hp. Show Your Work! Lesson Wrap Up What is still unclear? What questions do you have about the topics we have discussed before we move on?

Homework Assignment 7. Self Study Review Assignment 7. Problem Solving: Complete Problems 5. Section 5. Read Fundamentals of Drilling Engineering Section 5.

Lesson 2: Flow Velocity Learning Objectives In this lesson we will: Interpret geometry of the well bore Calculate the required output flow rate of the mud pumps Perform a demonstration of viscosity using a rheometer Define the ratio of viscosity of a fluid Calculate types of flow Define the Fanning Equation Relate the Fanning Friction Factor to the Reynolds Number Apply the Hagen-Poiseuille equation for laminar flow Calculate the equivalent Reynolds Number Required Flow Rate Since drilling fluid is incompressible.

The flow velocity will vary due to changes in cross-sectional area. Geometry of the Well Bore From Bourgoyene et al. This "experience" velocity is usually given in ft. Viscosity of a Fluid Viscosity of a fluid is defined as the ratio of the shearing stress to the rate of shear. The Reynolds Number. Turbulent flow occurs when the particles flow in a random manner. Types of Flow Laminar flow occurs when all individual particles in the fluid flow in a straight line parallel to the axis of the conductor.

Under certain conditions velocity. Types of Flow Cont. In some cases. Through experiment. Newtonian Fluid. In Pipe The Hagen-Poiseuille equation states the relationship between pressure drop due to friction and other flow factors for a Newtonian fluid under laminar flow conditions in a straight.

Laminar Flow. Example 13 Solution To insure laminar flow. Example 14 Calculate the Pressure Drop Calculate the pressure drop in 10 miles of the pipe in Example 13 if the 2. Turbulent Flow The Fanning Equation states the relationship between pressure drop due to friction and other flow factors for a Newtonian fluid under turbulent flow conditions in a straight. Annular flow between steel pipe IV.

Annular flow between open hole and steel pipe Flow inside steel pipe Text Book p. Fanning Friction Factor vs. The oil is a Newtonian fluid. Newtonian fluid is only described with viscosity and does not have a yield point Example 16 Calculate the Pressure Drop Calculate the pressure drop in Example 15 if the pipe diameter is doubled. For the same flow rate. Annulus a b Laminar Flow in Pipe vs.

Type of Flow in an Annulus Calculate the equivalent Reynolds Number using the equivalent diameter and the actual velocity. Laminar flow 8 Then. To use this equation for an annulus. This expression is the diameter of a pipe which will have the same pressure drop-flow rate relation as the equivalent cross section of the annulus.

In Annulus The Fanning equation for turbulent flow applies only to a straight. Turbulent Flow. Calculate the pressure drop in the annulus. Problem Solving. Rheology Models Learning Objectives In this lesson we will: Interpret laminar and turbulent patterns in pipe Solve the Hagen-Poiseuille equation for laminar flows Determine where viscosity appears in the Fanning equation for turbulent flow Calculate the pressure drop in the annulus In Pipe Will discuss Referring to the plastic fluid viscosity curve.

Plastic Fluid. The Reynolds Number equation and the Hagen-Poiseuille equation for laminar flow apply only to a Newtonian fluid flowing in a straight. If these equations are to be used for a plastic fluid. In Pipe Cont. Field Units. Example 21 Pressure Drop. Determine f Determine f using the f-Curves and the Reynolds Number. In Pipe Determine if the flow is laminar or turbulent by calculating the critical velocity. Equivalent diameter. The Hagen-Poiseuille Equation for Laminar Flow This expression is the diameter of a circular pipe which will have the same pressure drop-flow rate relation as the equivalent diameter of the annulus.

The mud is Type of Flow in an Annulus Determine if the flow is laminar or turbulent by calculating the critical velocity. Determine f using the f-curves and the Reynolds Numbers. Viscosity does not appear in the Fanning equation for turbulent flow except in determining the friction factor.

Type of Flow in an Annulus Cont. The mud is 9. Algoritmos Numericos - Frederico Ferreira Campos. Additional questions regarding this video may be on a quiz or test. Density and Viscosity Video—Questions and Answers 1. True b. False 2. Bentonite clay is a gelling material and helps increase the viscosity of water. Fresh water is also known as a Newtonian Fluid. What is the specific gravity of Bentonite clay?

False Density b. Density and Viscosity Video—Questions and Answers 4. Viscosity c. What was the density of the Bentonite clay fluid? Weight Problem Solving. Fann VG meter Viscometer. This experiment will help you to: Grasp the rheological models of drilling fluids.

Density Viscosity Gel strength pH True b. False Fresh water is also known as a Newtonian Fluid. Corresponds to the oil filed units c.

All of the above 5. What is the reason for using cc of water in lab for conducting such experiments?

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Share Embed. Download Algoritmos Numericos - Frederico Ferreira naturalswiss-csalas. Uploaded by Isabella Ferreira. Flag for. Lesson 4: Pressure Drop in Pipe Lesson 4: Lesson 1: Hydraulic Pumps Image source: Hydraulic Pumps Learning Objectives In this lesson we will: Distinguish two types of pumps Define the circulating system for a typical rotary drilling Identify a working drilling rig circulation system Explain how the Double Acting Duplex Pump works Explain how mud pumps work and label parts of a pump Calculate the output flow rate Note: Instructor will go through a series of examples and expect students to work through remaining examples as homework or in class in groups. Mud Pumps http: How Single Acting. Class Activity: A volumetric efficiency.

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## ALGORITMOS NUMERICOS FREDERICO PDF

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## Algoritmos Numéricos

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