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Effects of Lubricartion in the Stagnation Point Flow of a Magneto Nanomaterial With Generlaized Slip Condition

Thesis Info

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External Link

Author

Faisal Jalil

Institute

Virtual University of Pakistan

Institute Type

Public

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Software Engineering

Language

English

Link

http://vspace.vu.edu.pk/detail.aspx?id=377

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676721037800

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It is ubiquitous, in some industrial and biological process, to confront a situation where fluid flows through another thin layer fluid, usually called a lubricant layer. Some of this can be found in living systems including red blood cells (RBC) flow patterns through narrow capillaries, flow of liquids in lungs and eyes etc. And in the machinery systems such as heating of fluids, coating of thin films, electrical seals and paints etc. It is necessary to deal with nonlinear differential equations with linear boundary conditions for stretching flow with no-slip. On the other hand, one needs to resolve nonlinear differential equations imposed on nonlinear boundary conditions for the boundary layer flow over a lubricated layer. Due to the nonlinearities the system become more complicated which results in getting analytic solutions very hard. In addition, the governing equations for non-Newtonian fluids have a higher order than the current boundary conditions and, in the stretching and stagnation point flows, the coefficient of the leading derivative disappears at the domain starting/initial point. As a consequence, numerical solution cannot be achieved through a generic integration scheme. Researchers have used various methods to deal with these difficulties. This inspires us to understand the movement of flow and heat over a lubricated layer of a nanofluid.
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التحریر چوک

التحریر چوک

کبری الجامعہ کے علاوہ قاہرہ میں دریائے نیل پر ایک پل اور بھی ہے جس کو ۱۲ اکتوبر پل کہا جاتا ہے ۔مسافر دکتور محمود سے وجہ تسمیہ پوچھی تو اس نے کہا عرب اسرائیل جنگ کی یاد میں یہ پل بنایاگیا ہے ۔اس پل کے کنارے قاہرہ ٹاور ہے جس کی بلندی نے باقی عمارتوں کو ماند کر رکھا ہے ۔ ڈوبتے سورج کی سرمئی روشنی میں قاہرہ کے مینار کی نکھری رنگت نقرئی نظر آنے لگی جس نے اس کی وجاہت اور قد کاٹھ میں بڑھوتری پیدا کر دی تھی ۔

۱۲ اکتوبر پل کے دوسرے کنارے ’’التحریر ‘‘کے نام سے ایک بڑا چوک ہے ۔اس نام سے میری شناسائی چند سال پہلے اس وقت ہوئی جب سابقہ مصری صدر حسنِ مبارک کے طویل دور حکومت کے خلاف ایک تحریک شروع ہوئی ۔تحریک جب احتجاج میں بدلی تو مرکزی حیثیت التحریر چوک کوملی جہاں مصری نوجوانوں نے کئی ہفتوں تک دھرنا دیا اور آخر کار حسن مبارک نے پہلے حکومت چھوڑی اور پھر جیل جانا پڑا ۔سیاست کے ماہرین نے اس تحریک کو ’’عرب بہار ‘‘کا حصہ گردانا جو عرب ملکوں میں مطلق العنان بادشاہوں کے خلاف شروع ہوئی تھی ۔بیسوی صدی کی ساتویں دہائی کے اواخر میں ’’مرگ برشاہ‘‘اور ’’شاہ رفت‘‘کی جو آوزیں تہران کی مرکزی شاہراہوں اور چوکوں میں سنی گئی تھیں۔عرب بادشاہوں کو بھی مطلق العنانی کے خلاف ایسی ہی آوازوں کا سامنا کر نا پڑا ۔اس میں کوئی مبالغہ نہیں کہ انقلاب خواہ کتنا ہی پرانا کیوں نہ ہو جائے اس کی داستان ہمیشہ تازہ رہتی ہے۔ امید اور عمل ،بیداری اور خود شناسی ،جنوں اور لہو کی داستان بھی کبھی پرانی ہو سکتی ہے؟زمانہ اس کو بار بار دہراتا ہے فرق صرف نام ،مقام اور وقت کا ہو تا ہے ۔

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