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Exact Solutions for Some Unsteady Flows of Non-Newtonian Fluids of Rate Type

Thesis Info

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Author

Waseem Akhtar

Supervisor

Constantin Fetecau

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2005

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/264

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726149769

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The main theme of this thesis is to establish exact solutions for certain flows of non- Newtonian fluids of rate type including Maxwell fluids, generalized Maxwell fluids and Oldroyd-B fluids. The rotational flow of a generalized Maxwell fluid in a circu- lar cylinder, oscillating flows between two coaxial infinite cylinders for Maxwell and Oldroyd-B fluids, as well as the flow induced in Maxwell fluids by a constantly accel- erating plate between two side walls perpendicular to the plate have been discussed here. The mathematical formulation of these problems leads to partial differential equations which are solved by different mathematical techniques like Laplace trans- form, Fourier sine transform and Hankel transform. The associated tangential stresses are also determined. By means of graphical illustrations, the required time to reach the steady-state for oscillating flows of Maxwell and Oldroyd-B fluids are also ob- tained. The solutions that have been obtained satisfy both the governing equations and all imposed initial and boundary conditions, the differentiating term by term into infinite sums being clearly permissible. Finally, the corresponding solutions for Newtonian fluids are also obtained as limiting cases.
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زندہ ہے بھٹو

زندہ ہے بھٹو

                                                                                                                رضا زیدی

سیدھی بات ہے جو موت کو ،امیر المومنین علی ؑ کی سنت پر دلیری سے عمل پیرا ہوتے ہوئے ۔کامیابی سمجھ کر گلے سے لگائے وہ بھٹو بن جا تا ہے ۔اس کی زندگی کا مذاق اڑانے یا جلنے والے جلتے جلتے مر جاتے ہیں ۔مٹ جاتے ہیں اور بھٹو گردشِ لیل و نہارکے ساتھ ساتھ اپنی زندگی ،اپنے وجود اور اپنی خوشبو محسوس کراتا رہتا ہے ۔۔۔۔زندہ ہے بھٹو جلنے والے دفع دور رہیں ۔

جب تک سورج رہے گا

بھٹو تیرا نام رہے گا

یہ شخص ایک شکست خوردہ ملک کا سربراہ تھا ۔سامنے والی خاتون فاتح تھی اور اس کی قید میں اس شخص کی نوے ہزار سپاہ تھی اور اس کی زمین کا خاطر خواہ حصہ اس خاتون کے قبضے میں تھا ۔پھر بھی اس شخص کے چہرے پر اعتماد اطمینان اور اس کی بدن بولی دیکھیے ۔ایک شکست خوردہ ملک کا صدر مذکرات کی میز پر وہ سب کچھ جیت گیا جو ہم ممیدانِ جنگ میں ہار چکے تھے ۔

 

بچوں کے عمرانی مسائل: اسلامی تعلیمات اور بین الاقوامی قوانین کے تناظر میں ایک جائزہ

The way the religion of Islam has emphasized the human rights, might be any other religion has given importance to this very specific topic. Although in Islam, there has no any chapter making been made in Quran and hadith on the permanent bases on the topic of basic human rights, yet if some search is made to find out these Quran and Sunnah, these are also present in expended form in various places and along with these guided principles are also present there. In Quran there is admonition in many places for the protection of human soul, goods and honor as well. Whereas Hadith along with the other various teachings, specifically on the eve of the last sermon known as ( Khutba hajja tul wida) of the Rasool(PBUH) the prescribed charter of human rights is enough to highlight its importance, but no distinctive laws are cited with a special regarded to  children. Anyhow, in 18th century, issues relevant to children came into view those also became the cause of many movements and all the countries are formulated unanimous laws which are still being applied. In present era, the social issues of the children are becoming obnoxious severe. On the behalf of these issues their growth, training and many other facts of life are also attention catching. In this article, an analysis of Islamic and International laws with respect to children will be made and those causes will also be cited due to which social issues of children are continuously being generated.

Redefining Urdu Morphology and Grammar for the Development of an Integrated Sentiment Analysis Framework

The rise of social networking sites and blogs has simulated a bull market in personal opinion; consumer recommendations, product reviews, ratings, and other types of online expressions. For computational linguistic researchers, this fast-growing heap of information has opened an exciting research frontier, referred as, the Sentiment Analysis (SA). For English, this area is under consideration from last decade. But, other major languages, like Urdu, are totally overlooked by the research community. Urdu is a morphologically rich and recourse poor language. The distinctive features, like, complex morphology, flexible grammar rules, context sensitive orthography and free word order, make the Urdu language processing a challenging problem domain. For the same reasons, sentiment analysis approaches and techniques developed for other well-explored languages are not workable for Urdu text. This dissertation presents a grammatically motivated, sentiment classification framework to handle these distinctive features of the Urdu language. The main research contributions are; to highlight the linguistic (orthography, grammar and morphology, etc.) as well as technical (parsing algorithm, lexicon, corpus, etc.) aspects of this multidimensional research problem, to explore Urdu morphological operations, grammar and orthographic rules, to redefine these operations and rules with respect to the requirements of sentiment analysis framework. The orthographical, morphological, grammatical and finally the conceptual details of the language are our target concerns. Additionally, our approach can help in the sentiment analysis of other languages, like Arabic, Persian, Hindi, Punjabi etc. The proposed framework emphasizes on the identification of the SentiUnits, rather than, the subjective words in the given text. SentiUnits are the sentiment carrier expressions, which reveal the inherent sentiments of the sentence for a specific target. The targets are the noun phrases for which an opinion is made. The system extracts SentiUnits and the target expressions through the shallow parsing based chunking. The dependency parsing algorithm creates associations between these extracted expressions. The framework uses the sentiment-annotated lexicon based approach. Each entry of the lexicon is marked with its orientation (positive or negative) and the intensity (force of orientation) score. The experimentation based evaluation of the system with a sentiment-annotated lexicon of Urdu words and two corpuses of reviews as test-beds, shows encouraging achievement in terms of accuracy, precision, recall and f-measure.