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Peristaltic Flow of Carreau Fluid in an Inclined Channel under the Effect of Inclined Magnetic Field With Heat Transfer

Thesis Info

Author

Tasneem Kousar

Supervisor

Saima Noreen

Department

Department of Mathematics

Program

RMT

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720732639

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مولانا ضیاء الدین اصلاحی

آہ! مولانا ضیاء الدین اصلاحی ؒ
دارالمصنفین کے ناظم اور معارف کے مدیر جناب مولانا ضیاء الدین اصلاحی ۲؍ فروری ۲۰۰۸؁ء کی صبح کو اپنے خالق حقیقی کے حضور پہنچ کر اس کی رحمت سے جاملے لیکن اپنے پیچھے دارالمصنفین کے ہر فرد بلکہ در و دیوار کو روتا، بلکتا چھوڑ گئے، شبلی و سلیمان کا یہ گلشن ویرانی کی تصویر بن گیا، اس جہاں علم و دانش کی روح بھی جیسے ان کی موت کے ساتھ رخصت ہوگئی اور سچ یہ ہے کہ علامہ شبلیؒ، مولانا سید سلیمان ندویؒ، مولانا شاہ معین الدین ندویؒ اور سید صباح الدین عبدالرحمانؒ کی قابل فخر روایات کی مسند اور بزم جس شمع سے روشن تھی، ایک حادثے نے اس کو گل کردیا، اِنا ﷲ وَاِنا اِلیہ رَاجِعونْ۔
مولانا اصلاحی ۳؍ جنوری کو سفر حج سے واپس آئے تھے اور بالکل چاق چوبند اور صحت مند تھے، یکم فروری کو وہ اپنی اہلیہ کے ہمراہ ایک عزیز سے ملنے کے لئے سرائے میر کے قریب موضع کھریواں کے لئے قریب ساڑھے نو بجے صبح روانہ ہوئے، جمعہ کا دن تھا، خطبہ اور نماز پڑھانے کے لئے مجھے تاکید فرمائی، عین نماز جمعہ سے پہلے یہ خبر ملی کہ ان کی جیپ حادثہ کا شکار ہوگئی ہے اور وہ صدر اسپتال میں زخمی حالت میں لائے گئے ہیں، نماز کے فوراً بعد ان کے تمام متعلقین اسپتال پہنچے، وہ سراپا زخمی تھے، ان کی اہلیہ بھی زخمی تھیں، لیکن ہوش میں تھیں، مشورے کے بعد وہ ایک مقامی سرجن ڈاکٹر فرقان کے ہسپتال میں لائے گئے، خون بہت زیادہ نکل چکا تھا، خون دیا گیا اور پھر مناسب سمجھا گیا کہ ان کو فوراً بنارس کے بی ایچ یو ہسپتال میں منتقل کیا جائے، وہاں کچھ ضروری ٹسٹ ہوئے، دوائیں بھی دی گئیں لیکن افاقے کے آثار نہیں تھے، صبح کا...

THE PHILOSOPHY OF CONTEMPORARY EDUCATION AND ITS IMPLICATIONS FOR THE DEVELOPMENT OF ISLAMIC EDUCATION

The title of this research is Theoretical Debate over the Philosophical Roots of Contemporary Education and Its Implications for the Development of Islamic Education. The purpose is to disentangle, to explore and to discuss the foundations of theoretical roots of educational philosophy and its relational consequences with Islamic education. The issues raised are: 1). How is the philosophical foundation of education and its relationship to philosophy and education? 2). What are the Philosophical Roots of Educational Theory and Its Implications for Curriculum, Teaching and Learning? 3). What are the implications for the development of Islamic education? The type of research is Library Research which uses philosophical and pedagogical approach, with descriptive method. The findings of this study are: a) the study of the key philosophical ideas that influence thought and development of education are aspects of metaphysics, epistemology and axiology. Without these three philosophical foundations, science and its various disciplines will fail; b) the relationship between philosophy and education are like two sides of one coin that cannot be separated, both give and take in the context of mutualism. So the existence of philosophy in education is a necessity; c) The theoretical debate over the roots of the philosophy of education requires the development of Islamic education.

Mathematical Modeling and Analysis of Ciliary Induced Flow of Newtonian and Non-Newtonian Fluids

The present thesis deals with a mathematical study of ciliary induced flows of various non- Newtonian fluids through a planar channel and in an axially symmetric tube. The main motivation of the present research work is concerned with an investigation of the propulsion mechanics of ciliary induced flows of some biological fluids through certain physiological systems of the human body. In particular, we want to study the role.of ciliary movement in the transport of spermatic fluids through the ductuli efferentes of male reproduction system in the human beings through mathematical modeling. The spermatic fluids or the efferent duct materials are assumed as Casson, Carreau, micropolar, hydromagnetic conducting Newtonian fluids and the geometry of the ductus efferentes of the human male reproduction system is approximated with a planar channel of uniform dimensions and an axially symmetric uniform cylinderical tube. The mathematical equations governing the flow of the present problem are formulated in Cartesian and axisymmetric cylindrical coordinate systems. These are highly nonlinear and coupled partial differential equations. However, implication of the well known creeping flow approximation along with the long wavelength assumption permits us to obtain closed form exact solutions for the resulting simplifying system of equations governing the flow problems. This is a valid approach for the low Reynolds number flows and is widely used in the literature of physiological dynamics. The flow is produced under the action of ciliary beating that generates a metachronal wave and the analysis is made in the wave frame travelling at the speed of metachronal wave in the direction of flow. Exact solutions for velocity components, axial. pressure.gradient and the stream. function are obtained. For Carreau fluid model the governing system of equations is.reduced to a.system of nonlinear but ordinary differential equations by employing the creeping flow i.e., the low Reynolds number assumption along with the long wavelength approximation. In this case, we utilize the well known regular perturbation method to tackle the nonlinear.terms of the governing system of equations. Consequently, series form solutions for the stream.function, the velocity.distributions and the pressure.gradient are computed. In last two chapters, we have investigated the magnetohydrodynamics (MHD) effects on the ciliary induced flows by assuming that the efferent duct material is a conducting fluid. The applications of magnetohydrodynamics principles in physiological-type flows have been the subject of intensive research and study during the last few years. The study of MHD effects on the flow of spermatic fluids through the ductus efferents is a relatively new aspect of the problem. We have studied the problem theoretically through a mathematical model. The quantities of physical interest like the pumping characteristics, the ciliary trapping phenomenon, the axial pressure gradient, the velocity distribution and the volume flow rates are discussed in this study. Extensive analytical and numerical computations are carried out to obtain the results of various flow characteristics of physiological interest. The influence of pertinent parameters on the analytical results obtained by these models are analyzed and discussed through graphs. The numerical values of the volumetric flow rate obtained by the proposed models of our study are ix also compared with the experimentally estimated value of the flow rate of the human semen, 6´10-3 mlh . This estimated value was suggested by Lardner and Shack [1] in human based on the flow rates in the ductus efferentes in the other animals, e.g., rat, ram and bull. These values are found to be in excellent agreement with the estimated value as compared to the value obtained by the Newtonian model of Lardner and Shack which was0.12´10-3 mlh-1 .