PROJECT ANNOUNCEMENTS

Combustion

Optimization of surrogate fuel composition for numerical heat and mass transfer analysis
Supervisor:  Dávid Csemány

Commercially used liquid fuels typically have a high number of components. This encumbers the implementation of liquid fuels into modeling environments for burner design and combustion simulations. Surrogate fuel possesses physical and chemical properties identical to the real fuel, however, it contains significantly fewer components, enabling practical application. In this project, the composition of the surrogate mixture is optimized according to measured and calculated material properties of the investigated fuel sample regarding the original composition. The objective is to determine a surrogate mixture composed of a few components but following the thermophysical properties of the real fuel sample to model atomization, evaporation, and heat release related phenomena.

Reference:
Huang Z, Xia J, Ju D, Lu X, Han D, Qiao X, et al. A six-component surrogate of diesel from direct coal liquefaction for spray analysis. Fuel 2018;234:1259–68. doi: https://doi.org/10.1016/j.fuel.2018.07.138

Experimental investigation on material properties of renewable liquid fuels
Supervisor:  Dávid Csemány

Thermophysical properties of liquid fuels significantly affect heat and mass transfer before the flame front and chemical reactions in the combustion chamber. Information on material properties is crucial for burner design and in case of fuel change for operating heat engines. However, reliable reference data on a broad parameter range is scarce in the literature, especially for renewable fuels. In this project, different fuel samples are investigated with standardized methods. The measured properties are density, kinematic viscosity, surface tension, atmospheric distillation curve, and flash point.

 
Reference:

Hidegh G, Csemány D, Vámos J, Kavas L, Józsa V. Mixture Temperature-Controlled combustion of different biodiesels and conventional fuels. Energy 2021;234:121219. doi: https://doi.org/10.1016/j.energy.2021.121219

Experimental investigation of the volatility characteristics of multicomponent liquid fuels
Supervisor:  Dávid Csemány

Volatility characteristics of liquid fuels affect the geometry and operating parameters for burner design and operation. Droplets in fuel spray have to evaporate and mix with combustion air before reaching the flame front in premixed burners. Atmospheric distillation curve can characterize volatility properties. In this project, the volatility characteristics of different fuel samples are measured and evaluated with a modified atmospheric distillation apparatus. Renewable fuels and conventional fuels blended with renewables are investigated.

Reference:
Ferris AM, Rothamer DA. Methodology for the experimental measurement of vapor–liquid equilibrium distillation curves using a modified ASTM D86 setup. Fuel 2016;182:467–79. doi: https://doi.org/10.1016/j.fuel.2016.05.099

Evaluation of material property estimating methods for liquid fuels
Supervisor:  Dávid Csemány

Reliable material property databases on a broad parameter range for liquid fuels are scarce in the literature, especially for alternative fuels. Estimating methods can be applied if no measurement data is available. However, their accuracy is often unknown for the investigated materials. In this project, estimating methods for thermophysical properties affecting heat and mass transfer and atomization characteristics are compared to reference data. The evaluation can highlight the applicability of the models for the different fuel types.

Reference:
Csemány D, Gujás I, Chong CT, Józsa V. Evaluation of material property estimating methods for n-alkanes, 1-alcohols, and methyl esters for droplet evaporation calculations. Heat Mass Transf 2021. doi: https://doi.org/10.1007/s00231-021-03059-0

Numerical modelling of single droplet evaporation
Supervisor:  Dávid Csemány

The single droplet measurement method is usually applied for the measurement of liquid fuel evaporation instead of investigating the whole spray. In this method, the droplet is suspended to a thin fiber. However, this measurement method has several biases and uncertainties affecting the intensity of vaporization. In this project, one-dimensional numerical modeling is performed with the finite difference method. The objective is to identify parameters of the measurement which can minimize the bias on droplet evaporation.

Reference:
Csemány D, Józsa V. Uncertainty of droplet evaporation measurements and its effect on model validation. In: Costa M, Rabaçal M, Fernandes E, Pires J, Coelho P, editors. Proc. 9th Eur. Combust. Meet., Lisbon: 2019, p. 6.

Evaluation of spray evaporation in a swirl burner
Supervisor:  Józsa Viktor

Evaporation of liquid droplets can be found in several applications, from which liquid fuel combustion is one of them. The spray measurement should be performed without disturbing the flow due to the small sizes (micrometer range). From the optical techniques, the most suitable one is the Phase Doppler Anemometer, which was used for performing measurements at characteristic points of the spray in the combustion test system of our department. The project goal is processing the measurement data and characterizing spray evaporation. The recommended software environment for the project is matlab, in which we have pre-written codes; there is no need for previous software knowledge.

Reference:
Lefebvre AH, McDonell VG. Atomization and Sprays. Second. Boca Raton, FL, FL: CRC Press; 2017.

Characterization of velocity distribution of high-velocity atomization using non-dimensional numbers
Supervisor:  Józsa Viktor

High-velocity atomization is present in numerous fields, from medicine to combustion. The characterization of spray is often performed by using empirical formulas and thumb rules. A previously measured, comprehensive Phase Doppler Anemometer database will be evaluated during the project. From the non-dimensional numbers, principally, Reynolds and Stokes numbers can be used to characterize droplet motion. The goal of the project is the determination of the gas phase velocity, which can be estimated only by using the entrained droplet data. The recommended software environment for the project is matlab, in which we have pre-written codes; there is no need for previous software knowledge.

Reference:
Urbán A, Malý M, Józsa V, Jedelský J. Effect of liquid preheating on high-velocity airblast atomization: From water to crude rapeseed oil. Exp Therm Fluid Sci 2019;102:137–51. doi: https://doi.org/10.1016/j.expthermflusci.2018.11.006

Comparison of the evaporation of various fuels in a swirl burner
Supervisor:  Józsa Viktor

The will to reduce our dependence on fossil fuels is continuously intensified, however, there is no current alternative for conventional motors for numerous industries. To mitigate the situation, various alternative fuels have emerged, which show notably different both physical and chemical behaviors. During this project work, measured Phase Doppler Anemometer data sets of fuels with various volatility are compared. The recommended software environment for the project is matlab, in which we have pre-written codes; there is no need for previous software knowledge.

Reference:
Hidegh G, Csemány D, Vámos J, Kavas L, Józsa V. Mixture Temperature-Controlled combustion of different biodiesels and conventional fuels. Energy 2021;234. doi: https://doi.org/10.1016/j.energy.2021.121219

Evaluation of natural gas combustion by high-speed Schlieren technique
Supervisor:  Józsa Viktor

Natural gas utilization will evidently determine our current century since it has the lowest specific CO2 emission among fossil fuels. In combustion, we use swirl burners for low emissions. Our team has performed a series of high-speed Schlieren imaging measurements on such a burner. The aim of the project is to characterize the flame by image processing at various setups. The recommended software environment for the project is matlab, in which we have pre-written codes; there is no need for previous software knowledge.

Reference:
Lefebvre AH, Ballal DR. Gas turbine combustion. third. Boca Raton: CRC Press; 2010. doi: https://doi.org/10.1002/1521-3773

Evaluation of various flame shapes by high-speed Schlieren technique
Supervisor:  Józsa Viktor

Pollutant emissions are strongly affected by the flame shape in combustion systems, which is determined by the local mixture quality. The most favorable state is distributed combustion when the fuel is almost perfectly mixed with air before ignition. The new combustion concept, developed at our department, allows this, which is the subject of the present project proposal. The goal is the comparison of this with other stable flame shapes by processing available high-speed Schlieren images. The recommended software environment for the project is matlab, in which we have pre-written codes; there is no need for previous software knowledge.

Reference:
V. Józsa, “Mixture temperature-controlled combustion: A revolutionary concept for ultra-low NOx emission,” Fuel, vol. 291, no. May, p. 120200, May 2021, https://doi.org/10.1016/j.fuel.2021.120200

Spectral analysis of a turbulent flame based on Schlieren imaging technique
Supervisor:  Józsa Viktor

The fluctuation of turbulent flames may damage the combustion chamber in unfavorable cases, and may lead to complete destruction in extreme situations. To prevent these events, the spectra of combustion noise and the heat realease are commonly evaluated. The aim of this project is to analyze flame regions by Fourier transform based on available high-speed Schlieren images. The recommended software environment for the project is matlab, in which we have pre-written codes; there is no need for previous software knowledge.

Reference:
S. Candel, D. Durox, T. Schuller, J.-F. Bourgouin, and J. P. Moeck, “Dynamics of Swirling Flames,” Annu. Rev. Fluid Mech., vol. 46, no. 1, pp. 147–173, 2014, https://doi.org/10.1146/annurev-fluid-010313-141300

Thermodynamic modeling

Development of Cycle Tempo thermodynamic performance monitoring software in Fortran/Matlab environment
Supervisor:  Groniewsky Axel

Cycle Tempo is a software for modelling thermodynamic processes and systems. The task is to create an add-in to the software. (http://www.asimptote.nl/software/cycle-tempo/)

Development of a working fluid selection mechanism based on artificial neural network (ANN) for a given organic rankine cycle (ORC)
Supervisor:  Groniewsky Axel

Development of a thermodynamic model of an ORC operating under given temperature limits with different working fluids; neural network is trained on these results; efficiency is estimated.

Development of a Machine Learning (ML) based (Random forest, k-mean clastering) working fluid selection mechanism for existing Organic Rankine Cycle
Supervisor:  Groniewsky Axel

Designing a thermodynamic model of an ORC operating within given temperature limits for various working fluids; processing results using Machine Learning techniques that allow estimating the influence of parameters affecting the results.

Prediction of power plant behaviour using neural networks
Supervisor:  Groniewsky Axel

Estimation of power plant behavior (power, efficiency) from historical data. The historical data must first be filtered based on stationarity. Then key parameters must be identified and used when the neural network (ANN) is generated.

Estimation of the physical properties of pure substances using Group-Contribution method.
Supervisor:  Groniewsky Axel

Using the Group-Contribution method (GC), the physical properties of each substance become estimable. The method starts from the assumption that each functional group that makes up the molecule has a certain contribution to the physical properties that characterize the molecule. If the functional groups that make up the molecule and the extent of the contribution are known, the thermophysical properties can be estimated. The process can be applied to pure substances or mixtures.

Sensitivity analysis of the parameters of the PC-Saft equation of state in the light of the behaviour of Organic Rankine Cycles (ORC) 
Supervisor:  Groniewsky Axel

PC-SAFT equation of state: a model based on statistical thermodynamics that is suitable for estimating the physical properties and phase equilibrium of multicomponent fluids based on the number of segments in a chain, diameter of segments, and dispersion energy of interaction between segments.

Design of energy systems in Cycle Tempo thermodynamic performance monitoring software environment
Supervisor:  Groniewsky Axel

Designing the thermodynamic model of a complex energy system using historical or literature data.

Design of energy systems in Gate Cycle thermodynamic performance monitoring software environment
Supervisor:  Groniewsky Axel

Designing the thermodynamic model of a complex energy system using historical or literature data.

Numerical exploitation of the Kirchhoff transformation
Supervisor:  Mátyás Szücs

When solving heat conduction problems in the engineerign practice usually material coefficients are treated as constant, however, in many cases (for “large” temperature differences) this approximation is not correct, the temperature dependence of the coefficients have to be taken into account. Then (when the material coefficients are temperature dependent) solution of the heat conduction equation is not self-evident. The Kirchhoff transformation offers an opportunity for this.
Finding analytical solutions for the transformed equation is also complicated, but the method is numerically easy to apply. The task is to develop, test and demonstrate the application of the method on heat conduction problems in one and/or more spatial dimensions.

Reference:
https://en.wikipedia.org/wiki/Thermal_simulations_for_integrated_circuits

Numerical investigation of fins in three spatial dimensions
Supervisor:  Mátyás Szücs

Usually in the technical practices, proper cooling of a component (e.g., processors) is accomplished by the usage of ribs. When designing the ribs, the calculations are usually done in one spatial dimension, however, the conditions of the validity of this approximation is not self-evident. Via non-dimensionalizing the one and three spatial dimensional equations the important parameters (which characterize the solution) are revealed. Through the examination of these parameters geometrical and physical conditions can be obtained that characterize the scope of one-dimensional modeling. The task is the numerical modeling of fins with different shapes and specifying the necessary conditions.

Reference:
https://bmeedu-my.sharepoint.com/:u:/g/personal/szucsmatyas_edu_bme_hu/Ef8NY_m_7OZLueGnENmJRIgBEs9y9GTrpsIfS3ZSUNnzzg?e=dcG51M

Investigation and comparison of numerical methods on the example of an undamped vibratory system
Supervisor:  Mátyás Szücs

Due to complexity and difficulty of physical phenomena, analytical solutions can be produced to a limited region of models, thus in most cases numerical methods are applied. Numerical solution methods are burdened by a number of errors, e.g., such a typical error is the dissipation (artificial damping) error. This error is already present when simulating reversible and non-dissipative systems, thus in case of the simulation of an irreversible and dissipative system the physical and numerical damping are indistinguishable. Within the framework of the task, the examination of a vibratory system with several (but finite) degrees of freedom must be performed by several traditional and symplectic numerical methods.
A feladat keretein belül egy több (de véges) szabadsági fokú rezgőrendszer vizsgálatát kell  elvégezni számos hagyományos és szimplektikus numerikus módszer segítségével. A feladat kimenete a módszerek pontosság, numerikus összimpulzus- és összenergiaőrzés, valamint stabilitás szempontjából történő osztályozása.

Reference:
https://en.wikipedia.org/wiki/List_of_Runge-Kutta_methods

Heat conduction in the supercritical region
Supervisor:  Mátyás Szücs

Material properties (such as isobar specific heat capacity, coefficients of thermal expansion and compressibility) changes significantly for small temperature change in an enviromnent of the critical point. Due to this sudden change of the coefficient of thermal expansion a pressure wave develops in the material, which also transports thermal energy, thus apparently the propagation of temperature with the speed of sound is observed. The literature describes this phenomenon as “Piston”-effect, which is mentioned by many works as the fourth mode of heat propagation, although the phenomenon is merely a result of thermal-mechanical coupling. This phenomenon is measured on sulfur hexafluoride in space with microgravity conditions, however, velocity field was assumed to be zero in the evaluation, as a consequence, the pressure field is homogeneous, thus the model does not take pressure waves into account. The task is to reproduce models known from the literature as well as compare them to the model, which takes flow phenomenon into account.

Reference:
https://bmeedu-my.sharepoint.com/:b:/g/personal/szucsmatyas_edu_bme_hu/EZs3xB805iFOsUon-7EaxCkBGjGzNfos34CvrzfN_cP1Hg?e=tFOcSy

Numerical investigation of a thermodynamically compatible visco-elasto-plastic model of solids
Supervisor:  Mátyás Szücs

Many solids exhibit behavior other than elasticity. While according to Hooke's Law, there is an algebraic relationship between stress and strain, in the case of rheological/viscoelastic models this relationship is described via a temporal differential equation, and plastic changes results in permanent stress or strain in the unloaded end state. In case of rocks, the former processes take place simultaneously, thus all these must be taken into account when measuring and fitting material parameters. A general distinguished visco-elastic-plastic material model is derived via internal variable methodology of thermodynamics, which contains several traditional rheological and plastic models, moreover, it offers more opportunities that have not been investigated so far. The task is the numerical modeling of a uniaxial tensile experiment and investigation of this thermodynamically compatible visco-elasto-plastic material model.

Reference:
https://bmeedu-my.sharepoint.com/:b:/g/personal/szucsmatyas_edu_bme_hu/EZyKEbTnI-9MiodLblS03GQBgfNNoZYDxEJptnRiJBL_rw?e=9BEJEb

Investigation and comparison of thermodynamical state equations
Supervisor:  Mátyás Szücs

An essential part of thermodynamic modeling is the description of material properties. For liquid-gas systems several different equations of state are known. The task is to construct different phase diagrams (e.g., p-v, T-s, p-T, etc.) for some equations of state (e.g., Van der Waals, Berthelot, Redlich--Kwong, etc.), and to calculate and investigate the material properties (such as specific heat capacities, coefficients of thermal expansion and compressibility, etc.). The investigated models have to be compared to measured data, too. The solution of the task is performed in the Python language by using symbolic module.

Reference:
https://bmeedu-my.sharepoint.com/:u:/g/personal/szucsmatyas_edu_bme_hu/EcDdHQauqAtFrpyTNcWSkWYBS7_vtYugf6UzO0B0g3vz8g?e=Ue5iv5

Dissipation in viscoelastic solid media - the effect of wave propagation
Supervisor:  Fülöp Tamás

For mechanical modelling of loading of solid bodies, it is frequently satisfactory to use the force equilibrial / quasistatic approximation, when we omit the acceleration related term in the mechanical equation of motion (the Cauchy equation). Thereby, we neglect the fast transients and waves. This is usually enough to be in agreement with the measured stress, strain and displacement values, while both the analytical solution of the equations is simpler and the time step needed for the numerical solution can also be much larger. However, in such experiments, monitoring temperature is also informative, and dissipation of mechanical energy manifests itself as heat so a question is whether the force equilibrial approximation describes dissipation also satisfactorily. The task is numerical investigation in a one-dimensional sample with Poynting-Thomson-Zener rheology: how different is the dissipation predicted by the model including wave propagation from the prediction of the force equilibrial model?

Reference:
https://www.mdpi.com/1099-4300/22/2/155/pdf

Analytical investigation of signal propagation in rheological solids
Supervisor:  Fülöp Tamás

In elastic solid media, wave number is proportional to frequency so signals of any shape have the same propagation speed. In viscoelastic/rheological media, the relationship between wave number and frequency is more complicated, hence, wave propagation speed depends on the shape of the signal. A related numerical investigation is presented in the enclosed background material. However, numerical solutions have their limitations: for explicit methods, the Courant number gives a limitation while an implicit solver may represent the relationship between wave number and frequency in a considerably distorted way. he task is analytical investigation of the propagation of the signal shape considered in the enclosed background material.

Reference:
https://pp.bme.hu/ci/article/view/16096/8886

Analytical formulae for the flash experiment in heat conduction
Supervisor:  Fülöp Tamás

One way of measuring thermal conductivity is via the flash experiment. We apply a flash of light on a sample, and determine thermal conductivity (knowing the sample size, density and specific heat) from the raise history of temperature at the opposite side using an approximate analytical formula. In case of heterogeneous (either naturally or artificially heterogeneous) samples, a model more complicated than Fourier heat conduction is needed. During such evaluations of experiments, we have found that formula (8) of the enclosed background material is approximately fulfilled. The task is to justify this formula via approximate analytical calculation.

Reference:
https://arxiv.org/pdf/2102.11744

Generalized symplectic simulation of a damped spring pendulum
Supervisor:  Fülöp Tamás

The Runge-Kutta and other classic numerical methods gradually destroy the energy conservation of a simulated mechanical system. On the other side, the so-called symplectic numerical methods preserve energy conservation for even very large times. For dissipative mechanical systems it is also important to avoid numerics-caused artificial dissipation of energy in order to obtain the true thermodynamical dissipation. The generalization of symplectic methods to dissipative systems is, in recent years, an intensively developing research area. The task is to apply such generalized methods on a damped spring pendulum.

Reference:
https://en.wikipedia.org/wiki/Symplectic_integrator

Substituting a pulse boundary condition by a pulse initial condition in beyond-Fourier heat conduction
Supervisor:  Fülöp Tamás

In Fourier's heat conduction model, a pulse-like excitation of a boundary of a one-dimensional sample (a heat current density that is Dirac delta-like in time) can basically be replaced by a Dirac delta-like initial temperature distribution concentrated at the boundary. So to say, we consider the sample right after the excitation so the entered internal energy has already warmed the part near the boundary but has not yet started to spread towards the inner part of the sample. Replacing the boundary condition with an initial one may simplify and speed up the numerical solution. The task is to test the analogous conjecture for the Guyer-Krumhansl (GK) heat conduction model, via a finite difference numerical method. In the GK heat conduction equation (which is applicable for many heterogeneous samples), second time derivative of temperature and time derivative of the second spatial derivative also appear.

Reference:
https://www.mdpi.com/1099-4300/20/11/832/pdf

Optimization of a finite difference scheme in the example of heat conduction in a disk
Supervisor:  Fülöp Tamás

Discretization of spatial derivatives is easy in a rectangular coordinate system. In a curvilinear one, however, it is nontrivial. The model behind the equation to discretize suggests some natural-looking choice but this suggestion is to be tested. The task is to compare a number of choices, in the example of Fourier heat conduction in a disk. The last section of the enclosed background material sheds some light on the task.

Reference:
https://www.dropbox.com/s/rwiw071f4tzdp85/04-ppde-200507.ipynb?dl=0

Renewables

Ammonia as an internal combustion engine fuel
Supervisor:  Bereczky Ákos

- Review of ammonia production technologies with special regard to CO2 emissions
- Overview of ammonia use options
- Development of a measurement system and measurement plan for the tests
- Summary of results
 
Reference:

https://doi.org/10.1016/j.ijhydene.2019.12.209

Hydrogen technology in the waterborne transport sector
Supervisor:  Bereczky Ákos

1./ Introduction to hydrogen technology in general;
2./ Hydrogen production;
3./ Production and its actuality:
- green hydrogen, VER hydrogen;
- Local production, hydrogen delivery to filling station;
- hydrogen storage and transport.
4./ Hydrogen use;
• FC;
- Gas engine: NG+H2
5./ What is the water transport in Mo. today, in which part of it can hydrogen be used? 
 
Reference:

https://doi.org/10.1016/j.coche.2020.100668

Life cycle assessment

Life-cycle assessment of household level power generation systems
Supervisor:  Artúr Szilágyi

Small renewable energy power plants pose an almost negligible environmental impact during operation. However, in terms of their entire life cycle (manufacturing, transportation, waste management, etc.) we find a number of significant environmental problems. The aim of the research is to quantify these indirect environmental impacts by presenting and evaluating one or more selected technologies from an environmental point of view.
 
Reference:

Life-cycle assessment of geothermal energy systems
Supervisor:  Artúr Szilágyi

A földhőt hasznosító erőművek és fűtőművek működés közben szinte elhanyagolható mértékű környezetterhelést jelentenek.  Ugyanakkor a teljes életciklusukat (gyártás, szállítás, hulladékkezelés stb) tekintve számos jelentős környezeti problémát találunk. A kutatás célja ezen közvetett környezeti hatások számszerűsítése egy vagy több kiválasztott technológia bemutatásával és környezeti szempontú értékelésével.
 
Reference:

https://doi.org/10.3390/su12072786

Life-cycle assessment of nuclear power
Supervisor:  Artúr Szilágyi

Nuclear power pose an almost negligible environmental impact during normal operation. However, in terms of their entire life cycle (manufacturing, transportation, waste management, etc.) we find a number of significant environmental problems. The aim of the research is to quantify these indirect environmental impacts by presenting and evaluating one or more selected technologies from an environmental point of view.

 
Reference:

Life-cycle assessment of municipal solid waste treatment technologies
Supervisor:  Artúr Szilágyi

There are several technologies for the treatment of municipal solid waste, such as landfilling, energy recovery, material recovery, etc. The research deals with the analysis of the environmental impacts of one or more selected technologies using life cycle assessment.
 

Reference:
https://doi.org/10.1016/j.wasman.2017.07.042

Analysis of municipal sustainable energy and climate action plans
Supervisor:  Artúr Szilágyi

The Sustainable Energy and Climate Action Plan concept has been developed by the Covenant of Mayors. It is designed to give a detailed overview on the energy situation and GHG emissions of a municipality and defines quantifiable actions to reduce emissions, identify energy efficiency measures and adopt renewable energy targets. It also offers actions to adapt to climate change taking into account the risks that are relevant to the area such as floods or heat waves. Another goal is taking action to alleviate energy poverty. The aim of the research is to examine or compare the climate strategy of one or more settlements.

Ecodesign case study based on life-cycle assessment
Supervisor:  Artúr Szilágyi

The aim of the research is to calculate the environmental footprint of a selected product or service or its alternatives using the method of life cycle assessment. This will shed light on the most important key parameters that can be changed to avoid most environmental impacts and to make alternative technological solutions comparable.
 
Reference:

New methods for Estimating the Relaibility of Power Generating Systems
Supervisor:  István András Fazekas

In the framework of the task the Guideline "Identification of Appropriate Generation and System Adequacy Standards for the Electricity Market" (issued by the European Commission Directorate General for Energy) will be applied to the Hungarian Power System. The calculations aim at the determination of the optimum power generating system expansion using the Loss-of-Load Probability calculation and the methods based on probability theory for calculation of Frequency Control reserves capacity.

Impact of connecting wheather-dependent electricity generating units to the controllable power system operation
Supervisor:  István András Fazekas

In the framework of the task will be detailed analysed the impact of connecting weather-dependent electricity generating units to the controllalble power system operation.

The main drivers of global CO2-emission from fossile fuels
Supervisor:  István András Fazekas

In the framework of the task the main drivers of the global CO2-emission will be analysed based on time series analysis.