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Unsteady Flows of Some Rate and Differnetial Type Fluids Magnetic Porosity Effects

Thesis Info

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Author

Sultan, Qamar

Program

PhD

Institute

Bahauddin Zakariya University

City

Multan

Province

KPK

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/13085/1/Qamar%20Sultan_Maths_2016_BZU_Main%20part.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727639652

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This thesis has two principal objectives. Firstly, to obtain exact solutions for some non-Newtonian fluids of rate and differential type including second grade fluids, generalized Oldroyd-B fluids, Burgers’ fluids, and generalized Burgers’ fluids. Secondly, to study the magnetohydrodynamic (MHD) and porosity effects on such fluids. More precisely, the basic aim is to find the velocity field and the shear stresses corresponding to the unsteady motion of rate and differential type fluids through porous media in different situations in the presence of magnetic field. The flows induced by oscillating shear stress and oscillating velocity on the boundary have been studied. The partial differential equations obtained from the mathematical formulation of these problems have been solved using analytic techniques, i.e., the Laplace transform, Fourier transform, and Hankel transform. The obtained solutions satisfy all the imposed initial and boundary conditions. The similar solutions for some simpler non-Newtonian and Newtonian fluids, have been obtained as limiting cases of general solutions. By means of graphical illustrations, the influence of magnetic and porosity parameters, effect of various parameters on the steady-state and transient velocity contributions have been presented and discussed.
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خدا خود رہنما ہے مصطفیٰ ؐ کا


خدا خود رہنما ہے مصطفیؐ کا
ہدایت راستا ہے مصطفیؐ کا

وہاں سے کہکشائیں پھوٹتی ہیں
جہاں پر نقشِ پا ہے مصطفیؐ کا

فلک نے آپؐ کا سایہ نہ پایا
سراپا پُر ضیا ہے مصطفیؐ کا

خدا کا ہر نبیؑ ذیشان ٹھہرا
مگر رُتبہ جدا ہے مصطفیؐ کا

جسے اللہ فرمائے ’’یَدُللہ‘‘
یہی دستِ عطا ہے مصطفیؐ کا

تلاوت ہی میں ہے مدحت کی لذت
’’ثنا خواں خود خدا ہے مصطفیؐ کا‘‘

جہاں ذکرِ خدا آتا ہے عرفاں
وہاں پر تذکرہ ہے مصطفیؐ کا

الروايات التاريخية الأندلسية بين الفن والواقع دراسة مقارنة بين الأدبين العربي والأردي

Comparative study is one of the most important aspects of literary criticism in literature. It helps us to discover what differentiates the work of different writers in different literatures. It clarifies many important aspects which may have been left unnoticed while studying independently. It opens many vistas of literary research. In the present dissertation an effort has been made to compare Jurj฀ Zayd฀n, M฀r฀f al Arnaw฀t, Abdul Hal฀m Sharar and An฀yatull฀h Al-Tamash as historical novelists because most of these writers considered as pioneer of historical novels, while everyone is at top list in novel writing in respective country. The present work on a comparative study of historical novelists of Arabic and Urdu literature (about Spanish Era) may, perhaps, be the first research work in Arabic on four writers belonging to four different climates, cultures and origins by any University in Pakistan In this research work you will find out, the similarities and differences in the narrative techniques of writers in their novels and how these writers creates a conformity between romance and real history through literary innovation. In what way they represent the distinctive individualities and civilizations of a particular era. What aspects of theme, characterization and various narrative techniques they use to make the historical novel an attractive and coherent representation of the social and political life. There is a certain connection and dependence on history but using imagination how they contributes to color the descriptive details with romantic flavor. You will find out whether these writers work subordinated to history or distorting history. History tells us what really happens and fiction relates what can happen. In the historical novel the writer tries to create a coalition between history and fiction. In this research you will find that coalition.

Fixed and Coincidence Best Proximity Points in Sets With Certain Distance Structures

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