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Numerical Study of Some Mhd Flow Problems of Micropolar Fluids

Thesis Info

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Author

Ashraf, Muhammad

Program

PhD

Institute

Bahauddin Zakariya University

City

Multan

Province

KPK

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12380/1/Muhammad%20ashraf%20maths%202019%20bzu%20prr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726783500

Similar


This thesis aims at presenting the numerical study of some flow problems related to the micropolar fluids in various geometries including the channel with stretching/shrinking walls, stretching cylinder, and the vertical square duct. The problems may be categorized as the self-similar flows and the ones for which similarity solutions are not existent. For the self-problems, the powerful tool of similarity transformation is an obvious choice which converts the governing partial differential equations into a set of nonlinear ordinary differential equations which are either of third or fourth order. For the third order ODEs, order-reduction technique has been an excellent choice, whereas the ones of the fourth order are solved by employing the Differential Transform Method (DTM) and the Quasi-linearization approach. For the non self-similar problems, three step explicit Runge-Kutta method has been employed for the numerical investigation of the unsteady pulsatile flow in a horizontal channel, whereas a compact finite difference scheme is developed to study the hydro-dynamically as well as thermally developed flow in a vertical duct. The micropolar fluid model proposed by Eringen has been employed in all the investigations. Through tables and figures, effects of the governing parameters on the flow, microrotation and thermal aspects of the problems are discussed.
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زندگی کی بو قلمونیاں اور رنگا رنگ حقائق

زندگی کی بوقلمونیاں اور رنگارنگ حقائق
نحمدہ ونصلی علی رسولہ الکریم امّا بعد فاعوذ بااللہ من الشیطن الرجیم
بسم اللہ الرحمن الرحیم
صدرِذی وقار!آج مجھے جس موضوع پر اظہار خیال کرنا ہے:’’وہ زندگی کی بوقلمونیاں اور رنگارنگ حقائق کے بارے میں ہے‘‘
جناب!
زندگی ایک ابدی خوشی کا نام ہے۔ زندگی ایک غیر مرئی چاہت کا نام ہے زندگی جگنو کے نور کا نام ہے، زندگی دل کے سرور کا نام ہے۔
جنابِ صدر!
زندگی ایک ایسا پھول ہے جس کی مہک سے گلشنِ حیات کی فضا معطر ہوجاتی ہے۔ زندگی ایک ایسے جذ بے کا نام ہے جو نا امیدی کی دلدل میںکبھی نہیں گرنے دیتا، زندگی ایک ایسی چمک کا نام ہے جس سے مُردنی اور موت کے سائے بھاگ جاتے ہیں۔
صدرِ ذی وقار!
زندگی نے ہی تو مجھے معاشرے میں چلنے کا سلیقہ سکھایا، زندگی نے ہی تو مجھے قبیلے کا ایک اہم رکن بنایا، زندگی نے ہی تو حرارت ِایمانی بخشی، زندگی نے ہی تو مجھے عبادت کا ڈھنگ سکھایا، زندگی ہی نے مجھے خود شناسی کے علاوہ خداشناسی بخشی۔
معزز سامعین!
میرے مخالف نے تو حد کر دی ہے۔ لیکن کیا ہوا مخالفوں نے تو مخالفت تو کرنی ہی ہوتی ہے، زندگی کو ایک مصیبت کے طور پہ پیش کیا ہے، زندگی سے مخاصمانہ رویہ محمودنہیں ہے، زندگی خود اس کی آمد کا سبب ہے، اُس کے والدین کی زندگی اُس کی حیات نو کا سبب ہے۔
جنابِ صدر!
زندگی ہے تو بطخ کا بچہ بھی تالاب میں تیراکی کرتا ہوا اچھا لگتا ہے، زندگی ہے تو فلک کی بلندیوں پرمحو پرواز طائر خوش الحان کی اڑان میں انفرادیت نظر آتی ہے۔ زندگی ہے تو شاخِ مغیلاں پر چہکتی ہوئی کنجشک مادہ اپنے بچوں کو چوگ دیتی ہوئی اچھی لگتی ہے۔
معزز سامعین!
میں یہ...

LITERACY EDUCATION URGENCY FOR CENTENNIAL GENERATION IN INDUSTRIAL REVOLUTION 4.0

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