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On the study of magneto- Hydrodynamics of a rate type fluid with fractional derivatives

Thesis Info

Author

Nehad Ali Shah

Supervisor

Constantin Fetecau

Department

Abdus Salam School of Mathematical Sciences

Program

Mphil

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2013

Language

English

Other

7-GCU-MPHIL-Assms-13

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676729499420

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علم الاقتصاد

یہ کتاب 1904ء میں شائع ہوئی۔ معاشیات کے حوالہ سے مختلف موضوعات کے تحت تفصیلی گفتگو اس تصنیف کی زینت ہے۔ بعض امور پر اقبال کی نظر حیرت انگیز اشارہ کرتی ہے۔ اور قاری کو مجبور کرتی ہے کہ گہرائی سے ان موضوعات پر توجہ دی جائے۔ یہ مباحث 26 سالہ نوجوان کے ذہن کی عکاسی کرتے تھے جو آگے چل کر حکیم الامت ، شاعر مشرق اور ترجمان حقیقت کہلایا۔ یہ کتاب بھی خود چھپوائی ۔ دیباچہ میں موجود درد بھرے چند جملے پروفیسر عبد الحق نے درج کیے ہیں ۔ لکھتے ہیں :
” کیا ممکن نہیں ہر فرد مفلسی کے دکھ سے آزاد ہو، کیا ایسا نہیں ہو سکتا ہے کہ گلی
کوچوں میں چپکے چپکے کراہنے والوں کی دل خراش صدائیں ہمیشہ کے لیے خاموش
ہو جائیں ۔ اور ایک درد مند دل کو ہلا دینے والے افلاس کا درد ناک نظارہ ہمیشہ
کے لیے صفحہ عالم سے حرف غلط کی طرح مٹ جائے“ (9)
افلاس کے خلاف اقبال کی آواز "علم الاقتصاد" میں بھی سنائی دیتی تھی اور زندگی کے آخری ایام میں بھی یہ آواز سنائی دیتی تھی۔ محمد علی جناح کے نام 1937ء کے ایک خط میں لکھتے ہیں:
”لہذا سوال پیدا ہوتا ہے کہ مسلمانوں کے افلاس کا علاج کیا ہے“ (10)
اس کتاب میں اقبال نے مولانا شبلی نعمانی سے کتاب کے بعض حصوں میں زبان کے متعلق موثر اصلاح لی۔ اقبال نے ڈاکٹر آرنلڈ اور علامہ شبلی نعمانی دونوں کا اس تصنیف میں شکر یہ بھی ادا کیا ہے۔

عیسائیت پر لکھی گئی منتخب اردو کتب کا تجزیاتی مطالعہ

Christianity is the religion from the Hazrat Essa (A.S) the Holy Prophet of Allah. Christians believe that Christianity is a perfect religion and this religion save them from hell, and this religion is revealed from Allah. Christian knows that their ideology based upon Hazrat Essa (A.S) and they relate themselves towards Hazrat Essa (A.S). Different books in different languages have written on the Christianity like English, Arabic, Persian and other languages there are many books written on Christianity in Pakistani national language Urdu and the books written in many languages have translated in Urdu. The analysis put forward on Christianity in Urdu written books, one thing is clear that which author writes a good, topic on Christianity and on the other hand by studying Christianity students and readers feel easy and will understand about these books easily and search the relevant material easily. This article shows the analytical study of books written on Christianity in Urdu and translation from other languages nominated Urdu books.

Improved Technique for the Calculation of Heat Transfer in a Thrust Chamber

Advancements in rocket propulsion have been the key factor for the scientific progress especially in space exploration and communication. The continued quest to achieve higher propulsion velocities at low cost still provides the room to the scientists and engineers to work on the development in the design of thrust chamber of a rocket engine. Given the high manufacturing and operational cost of rocket engines, precise knowledge of the chamber dynamics, propellants flow and feed system, heat transfer and structural integrity are important. During operations the thrust chamber experiences high temperatures and pressures, thus a reliable design requires adequate knowledge of the flow and combustion physics inside the chamber. A number of ways have been employed by the researchers to optimize heat transfer and performance of the engine. Generally regenerative cooling along with film cooling are used for safe operation.For small LPREs with small mass flow rates of the coolant, safety of the chamber wall becomes challenging job. Structural integrity can be attained by specific heat transfer rate and efficient combustion will give better performance. Numerical estimation of heat transfer using commercial software may be help for design and mounting instrumentation for experimentation at proper place. However one requires an integrated design tool for designing a thrust chamber with optimal performance ensuring adequate thrust, structural integrity and efficient cooling. For optimization of such a thrust chamber, couple fluid-structure-heat transfer analysis is often complicated and requires huge computational resources using commercial software. The combustion chemistry is often approximated through one dimensional theory. Generally experimental/empirical correlations are used for heat transfer rate calculations or one has to rely on expensive testing to validate structural design and safe operation. However the high cost involved with experimentation and manufacturing of even a small chamber, an integrated tool for optimal design of thrust chamber can be helpful. The optimized geometry can be numerically simulated for confirmation before leading to actual use. The integrated design tool can help in obtaining optimal thrust under given dimensional and flow constrains with adequate heat transfer rates ensuring low design cost. The major aim of this research work was to develop an in-house integrated software tool for the design and optimization of the coolant channel configuration of thrust chamber of a rocket engine. However, the study also includes the experimentation and CFD study for the validation of the tool developed. The developed integrated tool includes seven modules providing optimal performance parameters for a given thrust chamber design. The modules include combustion chemistry, flow dynamics, heat transfer and optimal cooling channels design for a given thrust chamber shape. Here the results obtained from the integrated tool have been verified using own computational fluid dynamics results and experimental data as well as the published results available in the literature. Amongst the important parameters, heat transfer rate within the thrust chamber is key design parameter. Here focus is on the prediction of heat transfer rates and surface temperatures of both coolant and thrust chamber. Thus results for the heat transfer rates and heat transfer coefficients are compared with published results, numerical simulations and experimental data. Further calculations for the optimized coolant geometry have been carried out based on the heat transfer, flow rate and pressure drop across the coolant channel. The results indicate that the predicted geometry offers safe operation of the thrust chamber. The integrated tool developed in this study is intelligent enough to optimize a number of coolant channel flow configurations with different coolants and fuels within a short time.