latif_mohamed-use of magnus effect rotors as wind turbines for solar chimney power plants

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    Use of Magnus Effect Rotors asUse of Magnus Effect Rotors as

    Wind Turbines for SolarWind Turbines for SolarChimney Power PlantsChimney Power Plants

    Presented by:Presented by:

    Mohammed Abdul Hamid Abdul LatifMohammed Abdul Hamid Abdul Latif

    Advisor:Advisor:

    Prof. Mohamed Amr Serag ElProf. Mohamed Amr Serag El--DinDin

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    OutlineOutline

    IntroductionIntroduction

    ObjectivesObjectives

    MethodologyMethodology

    ResultsResults ConclusionsConclusions

    RecommendationsRecommendations AcknowledgmentsAcknowledgments

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    IntroductionIntroductionSolar ChimneysSolar Chimneys

    Figure 1: Solar Chimney Power Plant Principle of Operation

    Parameters:Parameters:

    CollectorCollector

    Area (Power Input)Area (Power Input) AbsorberAbsorber

    Specific Heat CapacitySpecific Heat Capacity(Storage)(Storage)

    TowerTower Length (Acceleration)Length (Acceleration)

    Diameter (OutputDiameter (OutputVelocity)Velocity)

    TurbineTurbine

    Operating ConditionsOperating Conditions(Power Output)(Power Output)

    Efficiency (PowerEfficiency (PowerOutput)Output)

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    IntroductionIntroductionSolar ChimneysSolar Chimneys

    Research to Reduce Costs:Research to Reduce Costs:

    Improvements in Construction:Improvements in Construction:

    Solar Chimneys on Mountains.Solar Chimneys on Mountains.

    Floating Solar Chimney.Floating Solar Chimney.

    Cheaper TurbinesCheaper Turbines

    Improvements in Performance:Improvements in Performance:

    Turbine LayoutTurbine Layout

    Turbine ConfigurationsTurbine Configurations

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    IntroductionIntroductionMagnus EffectMagnus Effect

    Proposal:Proposal:

    Use Magnus Effect Rotors as Turbine.Use Magnus Effect Rotors as Turbine.

    Magnus Effect:Magnus Effect:

    Figure 5: Effect of Increasing Cylinder rotational speed on lift force

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    IntroductionIntroductionMagnus EffectMagnus Effect

    Applications:Applications:

    Flettner ShipsFlettner Ships

    Magnus GeneratorMagnus Generator

    Figure 7: Turbine Utilizing

    Magnus Effect

    Figure 6: Flettner Ship using Magnus

    rotors for thrust

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    IntroductionIntroduction

    Figure 8: Top View of Proposed System Figure 9: Solid model of Proposed System

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    IntroductionIntroduction

    Magnus Effect Rotors Vs. Airfoils:Magnus Effect Rotors Vs. Airfoils:

    Manufacturing costs reductionManufacturing costs reduction

    Maintenance costs reductionMaintenance costs reduction

    Ease of ControlEase of Control Power ConsumptionPower Consumption

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    ObjectivesObjectives Investigate possibility of proposed system.Investigate possibility of proposed system.

    Study input variables:Study input variables: Cylinder and disc diametersCylinder and disc diameters

    Cylinder and disc rotational speedsCylinder and disc rotational speeds

    Number of cylindersNumber of cylinders

    Free stream velocityFree stream velocity

    Identify most dominant variable and its effect on theIdentify most dominant variable and its effect on the

    performance.performance.

    Study performance through variables:Study performance through variables: Lift and drag forces generatedLift and drag forces generated

    Pressure drop across the turbinePressure drop across the turbine

    Power output.Power output.

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    MethodologyMethodology

    Experimental:Experimental:

    Inaccurate results due to scalingInaccurate results due to scaling

    TediousTedious

    ExpensiveExpensive Numerical model using Fluent:Numerical model using Fluent:

    NavierNavier--Stokes EquationsStokes Equations

    Finite Difference MethodFinite Difference Method

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    MethodologyMethodology

    NonNon--Dimensional Analysis:Dimensional Analysis:

    SimilaritySimilarity

    Reduction of VariablesReduction of Variables

    Input:Input:VariablesVariables CoefficientsCoefficients

    Cylinder Radius (r)Cylinder Radius (r)

    Disc Radius (R)Disc Radius (R)

    Cylinder Tangential Velocity (Cylinder Tangential Velocity ())Disc Tangential Velocity (Disc Tangential Velocity ())

    Number of Cylinders (n)Number of Cylinders (n)

    Airspeed (v)Airspeed (v)

    Cylinder Tangential Velocity to AirspeedCylinder Tangential Velocity to Airspeed

    Ratio (Ratio (r / v) (CAR)r / v) (CAR)

    Disc Tangential Velocity to AirspeedDisc Tangential Velocity to AirspeedRatio (Ratio (R / v) (DAR)R / v) (DAR)

    Number of Cylinders (n)Number of Cylinders (n)

    Ratio of Cylinder to Disc radii (r / R)Ratio of Cylinder to Disc radii (r / R)

    Table 1: Variables and Coeffic ients used in the System

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    MethodologyMethodology

    Output:Output:

    Lift CoefficientLift Coefficient

    Drag CoefficientDrag Coefficient

    Pressure Drop CoefficientPressure Drop Coefficient

    EfficiencyEfficiency

    Input Variable Variations:Input Variable Variations:

    Number of Cylinders (n):Number of Cylinders (n): 180180

    120120

    9090

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    MethodologyMethodology Cylinder to Disc RadiiCylinder to Disc Radii

    (r / R)(r / R) 0.0040.004

    0.0020.002

    0.0010.001 CAR:CAR:

    1.311.31

    2.622.62 3.933.93

    5.245.24

    6.556.55

    DAR:

    0 0.0655

    0.131

    0.262

    0.393

    0.524

    0.655

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    MethodologyMethodology

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    MethodologyMethodology

    Fluent Parameters:Fluent Parameters:

    Rotating Frame EquationsRotating Frame Equations

    Viscosity: kViscosity: k--Turbulence Model:Turbulence Model: RobustRobust

    EconomicEconomic

    AccurateAccurate

    Renormalization Group (RNG):Renormalization Group (RNG):

    Accuracy in Swirling and Strained FlowsAccuracy in Swirling and Strained Flows Updated Values according to Analytical EquationsUpdated Values according to Analytical Equations

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    MethodologyMethodologyWall Treatments: Enhanced Near Wall:Wall Treatments: Enhanced Near Wall:

    Accurate with flows experiencing:Accurate with flows experiencing: High Reynolds NumberHigh Reynolds Number

    SwirlSwirl

    Severe Pressure GradientsSevere Pressure Gradients

    Solver: Segregated ImplicitSolver: Segregated Implicit Discretization Scheme: QUICKDiscretization Scheme: QUICK

    High Accuracy with quadrilateral meshesHigh Accuracy with quadrilateral meshes

    Pressure Discretization: PREssure STaggeringPressure Discretization: PREssure STaggeringOption (PRESTO!):Option (PRESTO!): High swirling and high speed rotating flowsHigh swirling and high speed rotating flows

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    MethodologyMethodology Gradient Evaluation: (Node Based Derivatives):Gradient Evaluation: (Node Based Derivatives):

    Triangular or Tetrahedral Meshes Accuracy.Triangular or Tetrahedral Meshes Accuracy. PressurePressureVelocity Coupling: SemiVelocity Coupling: Semi--Implicit MethodImplicit Method

    For Pressure Linked EquationsFor Pressure Linked EquationsConsistentConsistent

    (SIMPLEC):(SIMPLEC): Complicated flows due to UnderComplicated flows due to Under--Relaxation.Relaxation.

    Reliable with minimum computational effort.Reliable with minimum computational effort.

    Termination Accuracy = 1 X 10Termination Accuracy = 1 X 10--66

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    MethodologyMethodology Mesh Accuracy:Mesh Accuracy:

    y+ < 5y+ < 5

    10 cells in viscosity10 cells in viscosity--affected nearaffected near--wall region (Rewall region (ReYY

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    ResultsResults Fluent Output:Fluent Output:

    Relative and absolute velocity vectors and the streamlinesRelative and absolute velocity vectors and the streamlinesdepicting the flow.depicting the flow.

    Static pressure distribution over the rotating cylinder.Static pressure distribution over the rotating cylinder.

    Force component parallel to the free stream (radial to disc).Force component parallel to the free stream (radial to disc). Force component perpendicular to the free streamForce component perpendicular to the free stream

    (tangential to disc).(tangential to disc).

    Pressure difference at locations before and after the turbine.Pressure difference at locations before and after the turbine.

    Shear forces acting on the cylinder due to its rotation.Shear forces acting on the cylinder due to its rotation.

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ResultsResults

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    ConclusionsConclusions Max. Efficiency = 86 %:Max. Efficiency = 86 %:

    DAR = 1DAR = 1 CAR = 2CAR = 2

    Number of Cylinders:Number of Cylinders: No Effect on Force.No Effect on Force.

    Increases Power Output.Increases Power Output.

    Minimum Gap.Minimum Gap.

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    ConclusionsConclusions Disc and Cylinder Radii:Disc and Cylinder Radii:

    Cylinder Radius increased Force.Cylinder Radius increased Force.Tangential Velocity components.Tangential Velocity components.

    System Efficiency depends strongly onSystem Efficiency depends strongly onParameters.Parameters.

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    RecommendationsRecommendations1.1. Advanced Optimization Schemes.Advanced Optimization Schemes.

    2.2. Include Height:Include Height:

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    RecommendationsRecommendations3.3. Staggered Cylinder Arrangement.Staggered Cylinder Arrangement.

    4.4. Analyze proposed Turbine coupled with SolarAnalyze proposed Turbine coupled with SolarChimney.Chimney.

    5.5. Experimental Validation.Experimental Validation.