CFD Analysis for Production of Carbon Nanotubes

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International Journal of Current Engineering and Technology ISSN 2277-4106 2014 INPRESSCO. All Rights Reserved. Available at http://inpressco.com/category/ijcet Research Article CFD Analysis for Production of Carbon Nanotubes Khizar Ahmed Pathan Ȧ * Ȧ Department of Mechanical Engineering, KJEI s TCOER, Pune, India Accepted 15 March 2014, Available online 01 April 2014, Special Issue-3, (April 2014) Abstract Carbon nanotubes are cylindrical molecules with a diameter of as little as 1 nanometer and length up to many micrometers. It consist of only carbon atoms. By using CFD tools, GAMBIT and FLUENT heat and fluid flow analysis of argon ferrocene mixture has been carried out. At high temperature ferrocene is splits into Carbon, Ferrous and Hydrogen. So to reduce the analysis time, instead of entering ferrocene in the form of powder, the species of carbon, ferrous and hydrogen are entered. Analysis is done and data is generated for the reactor with graphite tube & without graphite tube. Velocity of all the species in without graphite tube reactor is high & temperature in with graphite tube reactor is high. Keywords: Carbon Nanotubes, Ferrocene, Fluent, Gambit, Multi species. 1. Introduction 1 This is plasma chemical reactor system for synthesis of novel carbon nanostructures in a segmented plasma torch assisted system. A plasma beam is expanded supersonically and passing into a low-pressure chamber through a converging nozzle. A segmented plasma torch with nine rings is used for producing a high temperature. The torch is connected to the vacuum chamber with the help of converging nozzle section. The double walled water-cooled vacuum chamber will be pumped down with a rotary pump, roots pump and throttle valve combination. Hydro-carbon gasses will be injected directly into the plasma as precursor for carbon Nanotubes. In tubular furnace ferrocene is evaporated and then injected into the reactor as swept by hot argon gases coming from plasma torch. Just after the nozzle, inside the chamber a graphite tube will be placed concentric with the chamber. carbon nanostructures are expected to be deposited on a substrate which is placed beyond the graphite tube. The substrate is designed to be heated up to 1000 K with an electrical heater. Also, it has to be arranged to bias the substrate up to ± 1 KV adjustable continuously. 2. Ferrocene The system is divided in to the following components: 1. The segmented plasma torch 2. The double walled stainless steel vacuum chamber 3. The mating flange and nozzle- injection section 4. The pumping system 5. The water cooling system 6. The Graphite tube. 7. The substrate Holder and substrate 8. The Tubular Furnace *Corresponding author: Khizar Ahmed Pathan Fig. 2: Ferrocene powder Fig.3: Ferrocene compound 165

Ferrocene with the formula Fe(C5H5)2 is an organometallic compound. The properties of ferrocene are shown in table 1, and image of the ferrocene powder and ferrocene chemical structure is as shown in figure 2 and figure 3 respectively. Table 1 Properties of Ferrocene Molecular formula FeC 10H 10 Molar mass Appearance Properties 186.04 g/mol Light orange powder Density 1.107 g/cm 3 (0 0 C), 1.490 g/cm 3 (20 0 C) Melting point Boiling point Solubility in water 3. Modeling 174 0 C 249 0 C Insoluble in water, soluble in most organic solvents For modelling and meshing GAMBIT is used which is the default modeling & meshing tool for fluent. Because of its higher compatibility with fluent it s always better to model and mesh in Gambit for CFD simulation using Fluent. Though model & mesh generated using other CAD packages can be imported through gambit but they have to be checked for distortion & geometry clean up is also required. using standard command like create real cylinder the different cylinders are created, then by using different Boolean operations like unite, subtract and intersect the geometry is created. The complete view of the modeled geometry is as shown in the figure 6. 4. Meshing the model Meshing, also known as grid generation, is discretization of model into smaller regions called as grids or elements. Generated grid has a significant effect on rate of convergence (or even lack of convergence), accuracy and computation time. So it is important to select appropriate elements type, meshing scheme and grid density. The main task in meshing is to create a complete hexahedral structural grid. It is very difficult to make complete hexahedral mesh without broking the model into number of volume. Because the model is having the reactor, graphite tube, substrate, nozzle, two different inlets and one offset outlet. Due to these different components the geometry is difficult to mesh with structured meshing scheme. To make it a complete structural grid the geometry has divided into number of volumes. The sub parts are shown in the below figure7. Fig.4: Dimension of model Fig.5: Dimension of Nozzle Fig.7: Exploded view of upper part of the Chamber Table 2 Mesh examine table Equisize skewness No of elements Percentage 0 to 0.1 5,31,033 70.30% 0.1 to 0.2 98,524 12.70% 0.2 to 0.3 52,253 6.73% 0.3 to 0.4 57,538 7.42% 0.4 to 0.5 21,779 2.81% 0.5 to 0.6 5,928 0.79% 0.6 to 0.7 1,850 0.04% 5. Specifying zone and Boundary types Fig.6: 3D solid model The dimensions of model are given in figure 4 and figure 5. By using these dimensions the geometry is created. By Zone-type specifications define the physical and operational characteristics of the model at its boundaries and within specific regions of its domain. There are two classes of zone-type specifications: Boundary types Continuum types Boundary Conditions are specifications of properties or conditions on the surfaces of Domains and are required to 166

fully define the flow simulation. The type of Boundary Condition that can be set depends upon what sort of boundary or interface the Boundary Condition is placed on. Boundary type specifications of the model The inlet and outlet boundary conditions as shown in table 3.2 and figure 3.12. Table 3 Boundary conditions Boundary Following figure 8 shows the boundary conditions for the model. Fig.8 Boundary conditions Colour code in Gambit Type Inlet_1 Argon Gray Mass Flow inlet Inlet_2 (Argon + Ferrocene) Gray Mass Flow inlet Substrate White Wall Outlet Type Red Pressure Outlet For outlet- Pressure outlet Table 6 Outlet Boundary condition Gauge pressure (Pa) -50662.5 Back Flow Turbulent Intensity (%) 10 Back Flow Hydraulic Diameter (m) 10 Outlet temperature (K) 300 Boundary-type specifications define the characteristics of the model at its external or internal boundaries. Continuum-type specifications define the characteristics of the model within specified regions of its domain. 6. Continuum type Continuum-type specifications define the physical characteristics of the model within specified regions of its domain. For example, if we assign a FLUID continuumtype specification to a volume entity, the model is defined such that equations of momentum, continuity, and species transport apply at mesh nodes or cells that exist within the volume. Conversely, if we assign a SOLID continuumtype specification to a volume entity, only the energy and species transport equations (without convection) apply at the mesh nodes or cells that exist within the volume. figure 9 shows the continuum of geometry. Gas -Fluid Graphite tube - Solid Substrate - Solid Data is generated by considering different case and different boundary condition as shown below in table 4, table 5 and table 6. In all the cases the Operating pressure remain same and is equal to 1 atmospheric pressure = 101325 Pa For inlet_1 (Argon) Mass flow inlet Table 4 Inlet Boundary condition Inlet mass flow rate (kg/s) 0.000744 (25 Lpm) Inlet Temperature (K) 3000 Turbulence Intensity (%) 10 Turbulent Length Scale 10 For inlet_2 (Argon + Ferrocene) Mass flow inlet Table 5 Inlet Boundary condition Inlet mass flow rate (LPM) 0.0001488 (5 Lpm) Inlet Temperature (K) 400 Turbulence Intensity (%) 3 Turbulent Length Scale 10 Fig.9: Cross section of model Showing various Domain 7. Results and discussion The requirement is to get the temperature of near about 2000K at inlet of the chamber. The input power from the plasma torch is 10 to 15 KW. Therefore we have to set the temperature of inlet_1 such that we get the input power of 10 to 15 KW. By considering the volume flow rate for inlet_1 as 25 LPM (liter per minute) and for inlet_2 as 5 LPM the result have generated for following two cases 1) With graphite tube 2) Without graphite tube As shown in figure 10 (a) & (b) the contours for the cases of with graphite tube & without graphite tube. In case of with graphite tube model, the graphite tube is heated and heating up the surrounding area. 167

(a) With graphite tube Fig.10: Temperature contour (b) without graphite tube Graph 3: Mass fraction of Carbon The highest velocity at inlet of the chamber for both the cases is same and is equal to 555 m/s. The effect of the highest velocity in case of without graphite tube is longer than that of the second case of with graphite tube. Graph 4: Mass fraction of Argon a) With graphite tube (b) without graphite tube Fig. 11: Velocity contour Following all the graphs for temperature, velocity, mass fraction of argon and mass fraction of carbon are plotted on the axis of the chamber and nozzle. These all graphs are plotted for both the cases of with graphite tube and without graphite tube. Graph 5: Mass fraction of Fe Graph 1: Temperature plot Graph 2: Velocity plot Graph 6: Mass fraction of hydrogen Table 7 Comparison of maximum velocities at different planes Sr. No. Position from top in Maximum Velocity in m/s mm With graphite Without 1 0 tube 495 graphite 495 tube 2 113 550 550 3 164 255 255 4 264 7.5 65 5 364 2.5 32.5 6 464 1.5 21 7 664 0.35 2 168

Table 8 Comparison of maximum temperatures at different planes Sr. No. Position from top in mm Maximum Temperature in K With graphite tube Without graphite tube 1 0 12500 12500 2 113 2160 2160 3 164 1350 1080 4 264 1080 650 5 364 850 550 6 464 750 550 7 664 650 490 Conclusion Table.7 shows that the velocity is same up to 164 mm from top for both the cases of with graphite tube and without graphite tube. Then after 164 mm the velocity in case of with graphite tube reduces very fast as compare to the case of without graphite tube. Table.8 shows that the temperature is higher in the case of with graphite tube than the case of without graphite tube at all positions. As the graphite tube heated and carries heat in it due to this heat carried by the graphite tube the surrounding area always have high temperature. Mass fraction of ferrous, hydrogen, carbon, and argon are not much affected by graphite tube. References H.K.Versteeg and W.Malalasekara An Introduction to computational fluid dynamics John D. Anderson, Jr. Computational Fluid Dynamics (The basic with applications), D.S. Pavaskar A Text Book of Heat Transfer Eleventh edition. Fluent Inc., Fluent 6.3 User s Guide. AMBIT User Guide 169