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Investigation on Mechanisms of Dynamic Formation of Criteria Gaseous Pollutants in Cng Fired Automobile Engine

Thesis Info

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Author

Mansha, Muhammad

Program

PhD

Institute

University of Engineering and Technology

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2010

Thesis Completion Status

Completed

Subject

Applied Sciences

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/952

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726513727

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The need of alternate clean transport fuels is exponentially increasing due to stringent environmental regulations of vehicular emissions and alarmingly depleting the current resources of traditional transport fuels such as gasoline, diesel fuels. The world statistical data depicts that public transport vehicles are increasingly converted to Compressed Natural Gas (CNG) due to its environment friendly nature. The literature survey depicts that research mainly focused on fluid dynamics aspects (such as turbulence) and flame features (flame development, flame propagation, flame geometry etc) of combustion in various combustions systems. In this regard, a number of studies are reported in the literature in which the combustion of fuels (mostly single component such as methane, ethane, propane, octane, ethanol, pentane, hydrogen etc) was simulated using the kinetic reactions mechanisms. The limited work is reported in the literature related to the formation of pollutants due to the combustion of CNG (a multi component gas mixture) in automobile engines (powered by IC engines). In present research, the combustion of CNG is simulated using the kinetic reaction mechanisms in Internal Combustion (IC) engines. These mechanisms are primarily investigated to predict the formation of gaseous pollutant such as Carbon monoxide (CO), Oxides nitrogen (NO & NO 2 ) and ammonia (NH 3 ) due to combustion of CNG in IC engine. A number of reaction mechanisms were developed and analyzed under the selected simulation conditions describing the practical operating conditions of the automobile engine. The reaction mechanisms were developed by the coupling of two reaction mechanisms (i) a hydrocarbon reaction mechanism generated by EXGAS (an automatic mechanism generation tool) and (ii) Leeds NO x mechanisms. Each of the mechanisms was consisting of the hundreds of the elementary reactions of types including Unimolecular viiiinitiations, Bimolecular Decompositions to initiations, Additions, Isomerization, Beta-scissions, o-rings, Branching, Metatheses, Combination, Dismutation. These mechanism also contain a number of the species/radicals/intermediates such as Monohydroperoxides (OOH), Dihydroperoxydes (OOH) 2 , Allylic molecules YH, , Ethers (O), Ketones (CO), aldehydes (CHO). Each of the reaction was containing the kinetic data (Arrhenius rate parameters; A, b or β and E a ) required to determine the rate constant (k) using the Arrhenius Rate Law and the species thermo-chemical data (NASA Coefficients). Each of the proposed mechanisms was implemented in IC engine module of Chemkin 4.1.1 (a kinetic simulation package) for further analysis and the four detailed reaction mechanisms successfully predicted the combustion profiles of pressure, temperature and selected pollutant species. These are represented by Mechanism-I, Mechanism-II and Mechanism-III Mechanism-IV in this report. Mechanism-I is a comprehensive reaction mechanism containing reactions feasible at range of temperature conditions (below 800 K and above 1000 K). This mechanism is composed of 935 elementary reactions and 185 species. Mechanism-II is a high temperature (above 1000 K) reaction mechanism and consists of 124 species and 792 elementary reactions. This mechanism composed of that type of reaction feasibly at high temperature during the combustion of natural gas. Mechanism-III is a low temperature (below 800 K) reaction mechanism and consists of 152 species and 864 elementary reaction. Mechanism-IV is developed by the simplification of Mechanism-I by the chemical lumping technique and is consisting of only 72 species and 208 elementary reactions. In the simulation study, the common inputs were; (i) fuel composition (CH 4 , 89.03; C 2 H 6 , 1.5; C 3 H 8 , 0.27%; C 4 H 10 , 0.17 %, N 2 , 7.20% & CO 2 ; 2.60% by vol.); (ii) engine geometrical parameters (cylinder displacement volume, 63.0 cm 3 , connecting rod to crank radius ratio, 1.632 etc). Each of the proposed mechanisms of were investigated by (a) ixParametric Analysis (b) Rate of Production Analysis (ROP) (c) Sensitivity Analysis and (d) Uncertainty Analysis. In Parametric Analysis of proposed mechanism, the effect of engine operating parameters such as engine speed, fuel to air equivalence ratio, compression ratio, initial inlet temperature and pressure of feed mixture on the in-cylinder pressure, temperature and pollutant species profiles were analyzed. This analysis determined that output simulation profiles (of in-cylinder pressure, temperature, pollutant species) is greatly affected by the engine speed and fuel to equivalence ratio under the selected simulation condition. The rate of production analysis of each the mechanisms was carried out to identify the reactions involved in the formation of selected pollutant species in addition to the major combustion products (i.e. CO 2 & H 2 O). In this analysis, the total rate of production and normalized rate of production coefficient were calculated for each of the elementary reaction of each mechanism at two temperature condictions of 1500 K and 4000 K. The Sensitivity Analysis showed the dependency (sensitivity) of the output concentrations of pollutant species to the rate constants of the reactions involved. This effect was quantified by determined the “Logarithmic Normalized Sensitivity Coefficients” for each of the reaction involved and showed by the sensitivity bar plot. The Uncertainty Analysis was carried out to determine the uncertainties in the output concentrations of pollutant species due to (i) operating parameters (such as engine speed, fuel to air equivalence ratio and compression ratio) and (ii) due to kinetic parameters (Arrhenius parameters, A, β, E a ) for each reaction was studied. In simulation studies, the adiabatic flame temperature of natural gas combustion predicted are order of ~6300 K, 4400 K, 6200 K and 8200 K for Mechanism-I, Mechanism- II, Mechanism-III and Mechanism-IV respectively. It was also observed that adiabatic flame temperatures increase with increasing initial gas temperature. The in-cylinder xtemperature and pressure were predicted as 4554.738 K and 39.776 atm when compression ratio was 10.51 for Mechanism-I at equivalence ratio of 1.3 (under fuel rich operation), compression ratio of 10.5 (design value for the tested engine), about 3000 rpm engine speed. When combustion in IC engine was simulated with kinetic Mechanism-II (High temperature mechanism), the maximum peak temperature and pressure was achieved at equivalence ratio of 1.3, compression ratio of 10.51, and low engine speed of about 2000 rpm, and initial inlet temperature of 1500 K. The simulation with Mechanism-III illustrates that the maximum peak temperature (3526.161 K) and pressure (31.27 atm) in the combustion chamber were achieved at equivalence ratio of 1.4, compression ratio of 10.51, engine speed of 1500 rpm (low speed) and at initial inlet temperature of 2300 K. and pressure. The Mechanism-IV shows that the maximum peak temperature (4277.804 K) and pressure (41.84569 atm) was achieved when equivalence ratio (Fuel/air) was ≈1.3, compression ratio of ≈10.51, engine speed of ≈ 3000 rpm and initial inlet temperature of ≈1000 K. For experimental measurements, an experimental setup was developed to study the effect of various operating parameters on the CNG combustion in an automobile engine (a type an IC engine) and to validate the simulation result obtained by the proposed kinetic mechanisms. In this experimental study, the in-cylinder profiles of temperature, pressure and pollutant species (CO, NO, NO 2 & NH 3 ) were recorded under various operating conditions of an automobile engine. The simulation data for each of the proposed mechanism is compared with experimental data for and an appropriate mechanism of CNG combustion is selected which showed the closer agreement with the experimental results. The average measured cylinder pressure varied from 0.61 atm to 32.62 atm for six consecutive engine cycles. The highest concentrations of NO x were near the stoichiometric conditions and then become lower while CO level shows increasing trend. The modeled xidata was compared with the experimental data (measured when engine was operated at 3000 rpm, φ=1.0, P inlet =0.67 atm) for each proposed mechanisms. The simulated pressure & temperature profiles of Mechanism-I exhibited the closer agreement with those of the experimental measured profiles while the pollutant species profiles significantly deviated. The deviation in the species profile caused because of the reactions involved in the formation/destruction under given conditions. Similarly, the profiles of Mechanism-II (high temperature above 1000K) and Mechanism-III (low temperature below 800 K) exhibited the early start of the combustion which was not supported by the experimental measurements. On the basis of these discrepancies, it is conclude that Mechanism-I, Mechanism-II & Mechanism-III were failed in the viable prediction of the formation pollutants and the experimental measurements did not validated simulation result. In spite of the existence of some discrepancies among the simulation profiles, Mechanism-IV (consisting of 208 elementary reactions & 72 species) exhibits the closer agreement with the experimental data under the given engine operating conditions. This mechanism is containing the reactions feasible at range of temperature conditions of low (below 800 K) to high (1000 K). In this mechanism, major primary types of reactions include; Unimolecular initiations, Bimolecular initiations, Beta-scissions, Oxidation, Branching, Metatheses, Combination and Dismutation. On the basis of this, it is concluded that Mechanism-IV is consisting of those kinds elementary reactions (both primary & secondary type) involved in the combustion of CNG in the automobile engine and is capable of predicting the formation of the selected criteria gaseous pollutants." xml:lang="en_US
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ساری بات سمجھ جاتا ہے

ساری بات سمجھ جاتا ہے
فاع فاعلن پر اٹکا ہے

فاع فعولن فاع فعولن
سارا کھیل فعولن کا ہے

میرے عروض پہ شک کرتا ہے
’’پہلی بارش‘‘ کو دیکھا ہے!

میرا عروض پرکھنے والے
تجھ کو عروض نہیں آتا ہے

پہلے ناصرؔ کو پڑھ کر آ
بات عروض کی گر کرتا ہے

فعلن کی تو سو صورت ہے
تو بس آٹھ لیے پھرتا ہے

’’پہلی بارش ‘‘میں ناصر نے
ہندی بحر کو ہی برتا ہے

میرے شہر کے لوگوں نے تو
ناصرؔ کو بے وزن کہا ہے

تجھ کو وہی سمجھے گا صادقؔ
جس نے ناصرؔ کو دیکھا ہے

الحديث الضعيف وما يتعلق به من الأحكام

Legitimation among scholars, since they fall to category of hadith dho’if (weak). Therefrom, several scholars argued that we might use them for hujjah mutlaq (absolute argumentation), while some others said it might be wiser not to use them at all. Yet there is also another opinion which said it could be used under special conditions. Based on this, this study aims to uncover and shed light the disagreements above scientifically, as well as to find he differences and the influence of the jurisprudence of law-making (fiqh). Then, the researchers sought to raise a strong opinion based on the arguments presented in the thesis, so which the researchers and or anyone who wants to practice the Hadith may find helpful.

Homomorphic Images of Generalized Triangle Subgroups of Psl 2, Z

The modular group generated by two linear fractional transformations, u : z 7! 1 z and v : z 7! z1 z , satisfying the relations u2 = v3 = 1 [46]. The linear transformation t : z 7! 1 z inverts u and v, i,e, t2 = (vt)2 = (ut)2 = 1 and extends PSL(2; Z) to PGL(2;Z). In [72] a condition for the existence of t is explained. G. Higman introduced coset diagrams for.PSL(2; Z) and PGL(2;Z): Since then, these have been used in several ways, particularly for nding the subgroups which arise as homomorphic images or quotients of PGL(2;Z). The coset diagrams of the action of PSL(2;Z) represent permutation representations of homomorphic images. In these coset diagrams the three cycles of the homomorphic image of v, say v, are represented by small triangles whose vertices are permuted counter-clockwise, any two vertices which are interchanged by homomorphic image of u, say u, are joined by an edge, and t is denoted by symmetry along the vertical line. The xed points of u and v, if they exist are denoted by heavy dots. The xed points of t lies on the vertical line of symmetry. A real quadratic irrational eld is denoted by Qpd, where d is a square free positive integer. If =a1 + b1pdc1 is an element of Qpd, where a1;b1;c1;d; are integers, then has a unique representation such that a1;a2 1 dc1 and c1 are relatively prime. It is possible that ; and and its algebraic conjugate = a1 pdc1 have opposite signs. In this case is called an ambiguous number by Q. Mushtaq in [69]. The coset diagrams of the action of PSL(2;Z) on Qpddepict interesting results. It is shown in [69] that for a xed value of d, there is only one circuit in the coset diagram of the orbit, corresponding to each .Any homomorphism 1 : PGL(2;Z) ! PGL(2;q) give rise to an action on PL(Fq): We denote the generators ()1; ()1 and (t)1 by ; and t: If neither of the generators , and t lies in the kernel of 1; so that , and t are of order 2, 3 and 2 respectively, then 1 is said to be a non-degenerate homomorphism: In addition to these relations, if another relation ( )k = 1 is satised by it, then it has been proved in [74] that the conjugacy classes of non-degenerate homomorphisms of PGL(2;Z) into PGL(2;q) correspond into one to one way with the conjugacy classes of 1 and an element of Fq: That is, the actions of PGL(2;Z) on PL(Fq) are parametrized by the elements of Fq: This further means that there is a unique coset diagram, for each conjugacy class corresponding to 2 Fq. Finally, by assigning a parameter 2 Fq to the conjugacy class of 1, there exists a polynomial f() such that for each root i of this polynomial, a triplet ; ; t 2 PGL(2;q) satises the relations of the triangle group (2;3;k) =D ; ; t : 2 = 3 = ( t)2 = ( )k = ( t)2 = ( t)2 = 1E: Hence, we can obtain the triangle groups (2;3;k) through the process of parametrization. Thegeneralizedtrianglegrouphasthepresentationu;v : ur;vs;Wk;where r; s; k are integers greater than 1, and W = u1v1:::ukvk, where k > 1;0 < i < r and 0 < i < s for all i. These groups are obtained by natural generalization of (r;s;k) dened by the presentationsDu;v : ur = vs = (uv)k = 1E, where r;s and k are integers greater than one. It was shown in [37] that G is innite if 1 r + 1 s + 1 k 1 provided r 3 or k 3 and s 6, or (r; s;k) = (4;5;2): This was generalized in [4], where it was shown that G is innite whenever 1 r + 1 s + 1 k 1 . A proof of this last fact can be seen in [101].A generalized triangle group may be innite when 1 r + 1 s + 1 k > 1. The complete classication of nite generalized triangle groups is given in 1995 by J. Howie in [39] and later by L. Levai, G. Rosenberger, and B. Souvignier in [57] which are fourteen in number. As there are fourteen, generalized triangle groups classied as nite [39], our area of interest is the set of groups which are homomorphic images or quotients of PSL(2;Z). Out of these fourteen only eight groups are quotients of the modular group. In this study, we have extended parametrization of the action of PSL(2;Z) on PL(Fp), where p is a prime number, to obtain the nite generalized triangle groupsD 2 = 3 = 23 = 1E by this parametrization. By parametrization of action of PGL(2;Z) on PL(Fp) we have obtained the coset diagrams of D 2 = 3 = 23 = 1E for all 2 Fp. This thesis is comprised of six chapters. The rst chapter consists of some basic denitions and concepts along with examples. We have given brief introduction of linear groups, the modular and the extended modular group, real quadratic irrational elds, nite elds, coset diagrams, triangle groups, and generalized triangle groups. In the second chapter, we show that entries of a matrix representing the element g =(v)m1v2m2l where l 1 of PSL(2;Z) =;v : 2 = v3 = 1are denominators of the convergents of the continued fractions related to the circuits of type (m1;m2); for all m1;m2 2N: We also investigate xed points of a particular class of circuits of type (m1;m2) and identify location of the Pisot numbers in a circuit of a coset diagram of the action of PSL(2;Z) on Qpd[f1g, where d is a non-square positive integer.In the third chapter we attempt to classify all those subgroups of the homomor phic image of PSL(2;Z) which are depicted by coset diagrams containing circuits of the type (m1; m2). In the fourth chapter we devise a special parametrization of the action of modular group PSL(2;Z) on PL(Fp), where p is prime, to obtain the generalized triangle groups D 2 = 3 = 2k = 1E and by parametrization we obtain the coset diagrams of D 2 = 3 = 2k = 1E for all 2 Fp. In the fth chapter we investigate the action of PSL(2;Z) on PL(F7n) for di⁄erent values of n, where n 2 N, which yields PSL(2;7). The coset diagrams for this action are obtained, by which the transitivity of the action is inspected in detail by nding all the orbits of the action. The orbits of the coset diagrams and the structure of prototypical D168 Schwarzite [48], are closely related to each other. So, we investigate in detail the relation of these coset diagram with the carbon allotrope structures with negative curvature D168 Schwarzite. Their relation reveals that the diagrammatic structure of these orbits is similar to the structure of hypothetical carbon allotrope D56 Protoschwarzite which has a C56 unit cell. In the last chapter, we investigate the actions of the modular group PSL(2;Z) on PL(F11m) for di⁄erent values of m; where m 2 N and draw coset diagrams for various orbits and prove some interesting results regarding the number of orbits that occur.