Theory & Applications of Computational Fluid Dynamics CFD

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جمعية رواد الھندسة والتكنولوجيا Theory & Applications of Computational Fluid Dynamics CFD Prepared and Presented By: Hesham Sami Abdul Munem Mechanical Engineer Pressure Vessels Department ENPPI

Contents: جمعية رواد الھندسة والتكنولوجيا Presentation objective Fluid flow What is CFD Why use CFD How CFD works Experiments VS Simulation Applications Verification & validation of CFD Results Case Studies

Objective: جمعية رواد الھندسة والتكنولوجيا To present a general overview for Computational Fluid Dynamics CFD techniques including some applications in different engineering design fields

Fluid Flow Fluid flow is encountered in everyday s life; examples are: Flow within pipes, pumps, heat exchangers, towers, chemical reactors Heating, ventilating and air conditioning of buildings, cars, Meteorological phenomena (wind, rain, hurricanes, floods) Environmental hazards (air pollution, contaminants transport) Human body (blood flow, breathing, drinking) And many other examples

What is CFD? CFD is a part of fluid mechanics that applies numerical methods and algorithms in order to solve and analyze problems that relates to flows of fluid. CFD enables scientists and engineers to perform numerical experiments (i.e. computer simulations) in a virtual flow laboratory Experiment CFD Simulation

How CFD Works? CFD general procedure is: I. Preprocessing 1. Geometry is generated (physical bounds) of the problem is defined. 2. Volume occupied by fluid is divided into discrete cells (MESH). 3. Physical model is defined for example, the equations of motions + enthalpy + radiation + species conservation 4. Boundary conditions are defined. This involves specifying the fluid behaviour and properties at the boundaries of the problem 5. Initial conditions are also defined (only For transient problems)

How CFD Works? CFD general procedure is: II. Simulation: Equations are solved iteratively over the domain III. Postprocessing Analysis and visualization of the resulting solution are performed

Experiments vs Simulations EXPERIMENTS Description of flow using measurements for one quantity at a time at a limited number of points and time instance for a laboratory scale model for a limited range of problems and operating conditions SIMULATIONS Prediction of flow using CFD software for all desired quantities with high resolution in space and time for the actual flow domain for virtually any problem and realistic operating conditions

Experiments vs Simulations EXPERIMENTS Expensive slow sequential Equipment and personnel are difficult to transport SIMULATIONS cheap(er) fast(er) parallel CFD software is portable, easy to use and modify

Fluid flows can be classified into: VISCOUS COMPRESSIBLE STEADY LAMINAR SIGNLE PHASE INVISCID INCOMPRESSIBLE UNSTEADY TURBULENT MULTI PHASE CFD simulation has a greater reliability For laminar/slow flows than for turbulent/fast ones For single phase flows than for multi phase ones For chemically inert systems than for reactive flows

Typical examples of CFD Industrial Applications Design of tall towers against vortex shedding

Examples of CFD Applications Design of vessels & towers internals

Examples of CFD Applications Design of pumps

Examples of CFD Applications Design of pipes, piping components, e.g. valves, orifice plates

Examples of CFD Applications Design of HVAC systems

Governing Equations

Governing Equations Generally, governing equations are equations that describe the fluid motion inside the domain in full three-dimensional flow. Fluid element for conservation laws

Governing Equations (Cont.) Mass Conservation t S m Momentum Conservation p g F t T 2 v v vi 3 Monday, June 03, 2013 18

Energy Conservation Governing Equations (Cont.) ( E ) ( ( E p)) k T h J ( ) S t j p E h Species Transport Equation t eff j j eff h 2 v 2 Y vy J R S i i i i i Monday, June 03, 2013 19

Governing Equations (Cont.) Turbulence Modeling k-ε model Turbulent kinetic Energy (k) C t 2 k t k k ku G G Y S t x x x j k b M k j j k j Dissipation Rate Epsilon (ε) 2 t u C G C G C S t x x x k k j 1 k 3 b 2 j j j Monday, June 03, 2013 20

Verification of CFD Codes ARE WE SOLVING THE EQUATIONS RIGHT?) Examine the computer programming by visually checking the source code, Examine iterative convergence by monitoring the residuals, relative changes of integral quantities Examine consistency (check if relevant conservation principles are satisfied)

Validation of CFD Models Validation amounts to checking if the model itself is adequate for practical purposes (loosely speaking, the question is: ARE WE SOLVING THE RIGHT EQUATIONS?) Verify the code to make sure that the numerical solutions are correct. Compare the results with available experimental data (making a provision for measurement errors) to check if the reality is represented accurately enough. Perform sensitivity analysis and a parametric study to assess the inherent uncertainty due to the insufficient understanding of physical processes. Try using different models, geometry, and initial/boundary conditions.

Available Commercial CFD Software ANSYS FLUENT: ANSYS CFX: STAR CD: FEMLAB: http://www.fluent.com http://www.ansys.com http://www.cd adapco.com http://www.comsol.com

CASE STUDIES

CASE STUDIES 1 The Use Of CFD to avoid cavitation in orifice plates 2 The Use Of CFD to predict flow regimes and thermal comfort in air conditioned space

Case Study 1 The Use Of CFD to avoid cavitation in orifice plates

The Use Of CFD to avoid cavitation in orifice plates Fluid cavitation due to sharp pressure drop was thought as the prime reason. CFD analysis has been made to investigate flow behaviour and effect of change of orifice configuration on enhancement of flow and eliminating cavitation.

Orifice Cavitation In liquid systems, cavitation occurs due to the swift formation and collapse of vapour bubbles, which causes the releases substantial energy and therefore leads to considerable noise and perhaps vibration due to interface with pipe structure.

Orifice Cavitation In liquid systems, cavitation occurs due to the swift formation and collapse of vapour bubbles, which causes the releases substantial energy and therefore leads to considerable noise and perhaps vibration due to interface with pipe structure.

Orifice Cavitation For a simple restriction orifice with one hole in the centre. As fluid passes through the hole, velocity increases; maximum velocity is reached soon after orifice hole resulting in what is called (Vena Contracta).

Meshed geometry

Geometry Construction and Grid Generation The geometry construction and grid generation during this study is carried out by utilizing GAMBIT 2.3.16 program to perform uniform three-dimensional fine tetrahedral finite volumes mesh. Tetrahedral cell Then exported this meshing into FLUENT 13 program to solve the governing equations (after specifying the boundary, internal and initial conditions for the constructed geometry) then simulate the flow patterns inside the case studies.

THE USE OF CFD TO AVOID CAVITATION IN ORIFICE PLATES The present case study investigated three alternatives for orifice configurations: Basic configuration: Single hole single stage First design enhancement: Multi perforated single stage Second design enhancement: Multi perforated multi stage orifice

Mechanical Engineering Original design (One single hole orifice plate)

Original design (One single hole orifice plate) Pressure dist. For one single hole orifice plate

Original design (One single hole orifice plate) Velocity dist. For one single hole orifice plate

First design enhancement: Multi perforated single stage One 4 hole orifice plate

First design enhancement: Multi perforated single stage Pressure distribution for one 4 hole orifice plate

Second design enhancement: Multi perforated multi stage Two multi hole orifice plates

Second design enhancement: Multi perforated multi stage Pressure dist. for two multi hole orifice plates

Second design enhancement: Multi perforated multi stage Velocity dist. for two multi hole orifice plates

Second design enhancement: Multi perforated multi stage Furthermore, stress analysis, using finite element analysis FEA, has been made to ensure strength of multi perforated orifices and their ability to hold induced load due to fluid pressure. FEA analysis was made using SolidWorks Release 2013. Example to stress values contour is shown figure 6

Case Study 2 The Use Of CFD to predict flow regimes and thermal comfort in air conditioned space

MOTIVATION To provide an idea to the most suitable decision can be taken by interested experts who intend to make design for air conditioning systems of squash arenas as well as other sporting arenas The decision is related to the selection of the location and distribution of air supply/return ports within area to be air conditioned

Scope: Investigation of air flow patterns, thermal behaviours and carbon dioxide dispersion in an air-conditioned squash court; August 30 th 2011

Objective: The main targets during this work are: Satisfying the players/spectators thermal comfort conditions and, Improving the indoor air quality August 30 th 2011

Comfort Air Conditioning The process of treating air to control simultaneously its TEMPERATURE, HUMIDITY, CLEANLINESS, and DISTRIBUTION to meet the comfort requirements of the occupants of the conditioned space

Factors Affecting Human Comfort: PHYSICAL FACTORS PERSONAL FACTORS Air temperature Relative humidity Mean radiant temperature Air velocity Air purity Activity level Clothing value August 30 th 2011

Air Properties Recommended values (WSF Recommendation) Air Property Recommended Range Temperature C [ F] 15 to 20 [59 to 68] Relative Humidity % Below 55 Air Velocity [m/s] 0.13 to 0.25

Model Description

Court Specifications Standard Court Dimensions

Squash arena under this study is composed of two zones TWO COURTS ONE COMMON SPECTATORS AREA

Case Studies Specifications Two courts 6.4 m Spectators area. Composed of seating levels 13 m 9.75 m 4.5 m 2.8 m 1.9 m 6 m 2.3 m 2.4 m 1.7 m

Case 1 (court) 4 Supply ports 4 return ports 4 return ports

Case 1 (spectators area) 5 Supply ports 3 Supply ports 4 return ports 4 return ports

Case 2 (court) 8 return ports 4 Supply ports

Case 2 (spectators area) 4 return ports 4 Supply ports 4 return ports 4 Supply ports

Case 3 (court) 2 supply ports 2 return ports 2 supply ports

Case 3 (spectators area) 4 supply ports 3 supply ports 4 supply ports 3 supply ports 4 return ports 4 return ports

Boundary Conditions (case 1) Inlet Air Conditions Supply Description Return Description Supply Ports V S T S RH S [m/s] [K] [%] Air No. Flow of Size [in] Rate Ports [cfm] S1 to S4 1.7 289 65 4 16 x16 550 S9 to S13 2.6 289 60 5 16 x16 850 S14 to S16 1.2 289 60 3 16 x16 400 Extract Ports R1 to R8 R5 to R12 No. Size of [in] Ports 48 x 8 10 8 24 x12

Lighting (courts) Commercial Eachcourtislitby12boxes[120 software CHALMIT cm in Version length x 30 4.04 cm iniswidth] used fixed to determine courtceiling, the most withsuitable four36 Watt distribution fluorescent of light tubesfixtures each. inside courts

Lighting (spectators area) 4 light fixtures in the upper ceiling 4 light fixtures in the lower ceiling

Lighting Light Load per lighting box is as follows: Q = 36 [W/tube] x 4 [tubes/box] x 1.2 x 1 = 173 W To estimate light load Per box per unit area, the following equation is used: Q/ Box Area = 173/ (1.2 x 0.3) = 480 W/m 2

EFFECT OF PEOPLE

EFFECT OF PEOPLE M W C R E SK E RES

Effect Of People (Cont.) SPECTATORS MODEL

Effect Of People (Cont.) PLAYERS MODEL

Geometry Construction and Grid Generation The geometry construction and grid generation during this study is carried out by utilizing GAMBIT 2.2 program to perform uniform three-dimensional fine tetrahedral finite volumes mesh. Tetrahedral cell Then exported this meshing into FLUENT 6.2 program to solve the governing equations (after specifying the boundary, internal and initial conditions for the constructed geometry) then simulate the flow patterns inside the case studies.

Results and Discussions

Ceiling Air Supply Design Case (Spectators area) velocity temperature CO 2 concentration about 600 ppm relative humidity CO 2 concentrations

Case 2 (spectators area) Low velocity zone next to the back wall of spectators area High velocity zone relative to the other side of the hall (v 1 m/s) velocity High temperature zone due to presence of dead zone in this area temperature

Case 3 (spectators area) High velocity magnitude next to the supply ports 1.1 m/s velocity Low velocity magnitudes relative to supply region RELATIVLEY HIGH TEMPERATURE ZONES DUE TO THE NON UNIFORM AIR DISTIBUTION temperature

Case 1 (court) SMALL DEAD ZONES velocity temperature

Case 2 (court) HIGH VELOCITY MAGNITUDE; LOW VELOCITY MAGNITUDE; STRATIFICATION PROBLEM HIGH VELOCITY MAGNITUDES velocity magnitude LARGE DEAD ZONES; STRATIFICATION PROBLEM RECIRCULATIO N ZONE velocity vectors

Case 2 (court) Difference is noticed between right and left sides due to stratification problem Difference is noticed between right and left sides due to stratification problem temperature relative humidity

Case 3 (court) LARGE DEAD ZONES velocity temperature

CONCLUSION CASE 1 WINS

Case Study 2 Conclusions Side walls air supply cases are rejected due to uncomfortable conditions Ceiling air supply (Case 1) showed homogeneous air velocity distribution; It also showed homogeneous distribution and acceptable values of temperature, relative humidity and CO 2 concentration.