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Theoretical Investigation of Dynamic Processes in Thermally Insulated Liquid Chromatographic Columns of Cylindrical Geometry

Thesis Info

Access Option

External Link

Author

David, Uche Ugochukwu

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/11815/1/Uche%20Ugochukwu%20David%20maths%202019%20comsats%20prr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727601940

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Liquid chromatography is a separation and purification process that has attracted attention due to its wide usage in biological, biochemical, fine chemicals, pharmaceutical and food processing industries. The task of this dissertation is focused on the theoretical study of linear and nonlinear liquid chromatographic processes in thermally insulated cylindrical columns packed with either fully-porous or core-shell particles and operating under either isothermal or non-isothermal conditions. Both non-reactive and reactive chromatographic processes are analyzed. In the latter case, separation and conversion of the reactants into products takes place concurrently. A two-dimensional general rate model (2D-GRM) in cylindrical coordinates is formulated to simulate these processes. For the simulation of linear chromatography, the finite Hankel and the Laplace transformations are applied one after another to obtain analytical solutions of the linear model equations for two different sets of boundary conditions. To further elaborate the process, the analytical temporal moments are obtained from the Hankel-Laplace domain solutions. These moments are very useful for analyzing the retention times, band broadenings and front asymmetries of elution profiles. The derived analytical solutions and moments are very useful for diluted or small volume samples. However, to simulate chromatographic process for concentrated or large volume samples, the numerical approximations of nonlinear model equations are needed. In this thesis project, a high-resolution finite volume scheme (HR-FVS) is extended and applied to solve the resulting 2D-model equations in cylindrical coordinates. Several case studies are conducted for a wide range of thermodynamic, kinetic and reaction coefficients. Furthermore, the coupling between concentration fronts and thermal waves are demonstrated through graphs and essential parameters influencing the column (or reactor) performance are pinpointed. A few consistency tests are also conducted for assessing the process performance. The solutions obtained are useful tools for analyzing, optimizing and upgrading the liquid chromatographic processes.
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باب دوم: ماحولیاتی تحفظ کا مطالعہ

ماحولیات کا تعارف

ماحول کو عربی زبان میں "بیئۃ" کہا جاتا ہے۔ ا س کا مادہ "بوأ " ہے۔

صاحب "معجم الوسیط" رقمطراز ہیں:

" (البيئة) الْمنزل وَالْحَال وَيُقَال بيئة طبيعية وبيئة اجتماعية وبيئة سياسية"[1]

 احمد بن خلیل اپنی تالیف "کتاب العین" میں کرتے ہیں:

"بوأ:الباءةُ والمَباءة: منزل القوم حين يَتَبَوَّءُونَ في قِبَلِ وادٍ، أو سَنَد جَبَلٍ، ويقال: [بل هو] كلّ منزلِ يَنْزِلُه القَوْم، يقال: تَبَوَّءُوا منزلا.. وقال تعالى: وَلَقَدْ بَوَّأْنا بَنِي إِسْرائِيلَ مُبَوَّأَ صِدْقٍ "[2]

 ابو نصر فارابی ؒ لکھتے ہیں:

"[بوأ]المباءة: منزل القوم في كل موضع، ويسمى كِناس الثور الوحشي: مباءةً "[3]

احمد بن فارس الرازی رقمطراز ہیں:

" (بَوَأَ) الْبَاءُ وَالْوَاوُ وَالْهَمْزَةُ أَصْلَانِ: أَحَدُهُمَا الرُّجُوعُ إِلَى الشَّيْءِ، وَالْآخَرُ تَسَاوِي الشَّيْئَيْنِ.فَالْأَوَّلُ الْبَاءَةُ وَالْمَبَاءَةُ، وَهِيَ مَنْزِلَةُ الْقَوْمِ"[4]

ابن الاثیرؒ (م606ھ) ماحول کی لغوی تشریح فرماتے ہیں:

"مَنْ كَذب عَلَيَّ مُتَعَمِّداً فَلْيَتَبَوَّأْ مَقعده مِنَ النَّارِ قَدْ تَكَرَّرَتْ هَذِهِ اللَّفْظَةُ فِي الْحَدِيثِ، وَمَعْنَاهَا لِيَنْزِلْ مَنْزِلَه مِنَ النَّارِ، يُقَالُ بَوَّأَهُ اللَّهُ مَنْزِلا، أَيْ أسْكنَه إيَّاه، وتَبَوَّأْتُ منزِلا، أَيِ اتَّخَذْته، والمَبَاءَة: الْمَنْزِلُ"[5]

مذکورہ بالا مباحث سے معلوم ہوتا ہے کہ ٹھکانہ، مسکن، ارد گرد کے مقامات، رہائش کا مقام وغیرہ ماحول کے مفہوم میں شامل ہیں۔ "بَوَّأَ" کا معنی ٹھکانہ، قیام کی جگہ، منزل، مسکن، رہنے سہنے کامقام یعنی ماحول ہے۔ماحول اتنا اہمیت کا حامل ہے کہ کتاب اللہ میں بھی ماحول کو مختلف زاویوں سے ذکر کیا گیاہے۔ کلام ِ ربانی میں ماحول کے تذکرہ سے اس کی افادیت کا اندازہ کیا جاسکتا ہے۔

 ارشاد باری تعالیٰ ہے:

" وَالَّذِيْنَ هَاجَرُوْا فِي اللّٰهِ مِنْۢ بَعْدِ مَا ظُلِمُوْا لَنُبَوِّئَنَّهُمْ...

روائع التشبيه في معلقة الملك الضليل امرئ القيس

There are two major parts of Arabic literature i.e. Prose and poetry. Arabic poetry has a great value among the critics and the literati. A series of seven poems known as Muʽallaqāt Sabʽa or ʽAšhara have a great deal in the Arabic poetry. These are the collection of seven or ten long poems that are considered as the excellent work of the pre-Islamic era known as Jāhilīya ages. These poems had been presented in the annual fair of Okaz on the occasion of pilgrimage and awarded to be the top class creative works. After that judgment, golden genres were written with silk and recited judgment, as well as taught consecutively up to date. The ancient Arabic literature is full of such like prized poems but the valuable position met to this compilation is unprecedented. Since the poets of these master pieces are among the most famous figures of the 6th century taken together, these poems provide a good picture of Budouin life besides its connotation of rhetorical semantics figurative devices are tricky during its studies. Metaphor, trope, allusive ironies, metonymies and many more colloquial figures of speech are to be observed in this renowned collection. This article deals with the rhetorical study of Muʽallaqa of Imru’ al-Qais, by identifying the magnificence of assimilation and critism on his poem, alond with the analysis and explanation of its objectives.

Role of Genetic Factors in the Pathogenesis of Primary Open Angle Glaucoma and Potential Role of Antioxidants to Prevent Primary Open Angle Glaucoma

Glaucoma, the collection of syndromes, is the 2nd leading basis of vision loss in the world. Primary open angle glaucoma (POAG), the mostly occurring form is described by optic nerve head excavation, defective fields of vision & increased or regular intraocular pressure (IOP), with no sign of closed angle on Gonioscopic examination. Though the actual reason of POAG is unclear yet but inherited factors may perform key function in understanding actual mechanism of the disease. This study was conducted for linkage analysis between POAG and two genes (MYOC & CYP1B1) related with POAG in the people of Sindh province of Pakistan and elaborate the protecting properties of antioxidants (Resveratrol & Ascorbate) on cultured HTMC subjected to reactive oxygen species. For this purpose, twenty-six families having multiple affected members diagnosed with primary open angle glaucoma (POAG) were enrolled through hospitals from different cities of Sindh, Pakistan and were numbered from POAG-1 to POAG-26. After genomic DNA isolation, exclusion studies were carried out to analyze enrolled families for linkage to MYOC and CYP1B1 genes. Out of twenty-six families, two families were found linked with the MYOCgene and one family was found linked with CYP1B1 gene. In family POAG-26, a novel mutation for MYOC gene, c.1130 C>G resulting in p.T377R was identified where as in family POAG-06, one reported mutation for MYOC in Indian population, c.144G>T resulting in p.Q48H was found. In another family POAG-02, a novel mutation for CYP1B1 gene, c.650 G>A resulting in p.D217N was detected. For exploration of potential effects of antioxidants (Resveratrol & Ascorbic acid) on cultured Human Trabecular meshwork cell line, Cells were purchased from The ScienCell Research Laboratories, Canada. Cultured HTM cells were co-incubated with varying concentrations of H2O2 in growth media for twenty-four hours. Effects of different concentrations of H2O2 on TM cell metabolism were determined by observing the cells under light microscope and detecting mitochondrial enzymes functional activity with the help of MTT assay. It was proved that Resveratrol has more protecting properties than the Ascorbic acid, even at 4.0 mM H2O2, the TM cellular movement was 76%. Underneath co-treatment circumstances, the 1mM Resveratrol maintained TM cell metabolism. Related to H2O2- treated TM cells, resveratrol enhanced role of mitochondria up to 4.0 mM H2O2 (76%). For evaluation of protective effects of co-incubation of Ascorbate and Resveratrol was because of metabolic alteration of Trabecular Meshwork cells, which were pre-treated by Ascorbate and Resveratrol for 24 hours followed by H2O2 treatment termed as “pretreat-only’’. Highly significant differences were noticed for the 1.0 mM H2O2 concentration (Chi Square test, p=0.0001). A considerable decrease in metabolism of Trabecular Meshwork cells was noticed estimating sixty one percent at 1.0 mM of hydrogen peroxide associated to Ascorbic acid – ninety nine percent and Resveratrol ninety nine percent (p=0.0001).