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Some Flows of Non-Newtonian Fluids

Thesis Info

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Author

Rauf, Abdul

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2009

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/1878/1/1956S.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727200201

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This work presents new results regarding the behavior of some non-Newtonian fluids into different circumstances. Chapter 1 presents the preliminary concepts regarding Newtonian and non-Newtonian fluids, the constitutive equations and the equations of motion and integral transforms. New exact solutions for the velocity field and the shear stress corresponding to some flows of ordinary and generalized Maxwell fluids, ordinary second grade and Oldroyd-B fluids have been established. In chapter 2, by means of the Laplace transform, we have established new exact solutions corresponding to Stokes’ type flows for ordinary Maxwell fluids with slip boundary conditions. We obtained the velocity field corresponding to both cases with slip and non-slip conditions, for Maxwell and viscous Newtonian fluids . Also, the exact and approximate solutions are compared and a good agreement is found. In chapter 3, some new exact analytical solutions for Stokes’ first problem of Maxwell fluid with fractional derivative approach are established. The obtained so- lutions for the velocity field and shear stress, written in terms of generalized G − Lorenzo − Hartleyf unctions, are presented as a sum of the similar Newtonian solu- tions and the corresponding non-Newtonian contributions. Chapter 4 contains exact solutions for the helical flow of a second grade fluid, between two infinite coaxial circular cylinders. Solutions are presented in series form, in terms of Bessel functions and they are written as a sum of large-time and transient solutions. Lastly, chapter 5 is devoted to the study of unsteady flow of an Oldroyd-B fluid through the infinite circular cylinder on which a sinusoidal azimuthal tension is given. Solutions, obtained by means of the Hankel and Laplace transforms, are written as a sum of large-time and transient solutions. The corresponding solutions for Maxwell and Newtonian fluids are obtained as limiting cases.
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نیاز ؔفتح پوری

نیاز فتح پوری
گزشتہ مہینہ نیاز فتح پوری کی وفات اکیاسی (۸۱) سال کی عمر میں کراچی میں ہوگئی، معارف کو ان کی پچھلی زندگی میں ان کے بعض دلآزار مذہبی مضامین سے بڑا اختلاف رہا، لیکن انھوں نے اظہار انابت کرکے آخر میں مذہبی دلآزادی چھوڑ دی تھی، ان کے علمی ذوق میں بڑی رنگارنگی تھی، رسالہ نگار کے اڈیٹر ہونے کے ساتھ، مذہب تاریخ، سوانح، ناول نگاری، افسانہ نویسی اور شعر و ادب پر بھی طبع آزمائی کرتے رہے اپنے بعض مذہبی مضامین کی وجہ سے تو مطعون ہوئے، اچھے مورخ اور اچھے سوانح نگار بھی نہ ہوسکے، لیکن ان کا نام اچھے ناول نگار عمدہ افسانہ نویس اور شعرو ادب کے بلندپایہ نقاد کی حیثیت سے اردو زبان کی تاریخ میں خصوصیت کے ساتھ برابر لیا جائے گا، وہ اپنے رسالہ نگار کے ذریعہ جو علمی و ادبی خدمت انجام دیتے رہے وہ بھی ان کے اہم کارناموں میں شمار ہوگا، دعا ہے کہ اﷲ تبارک و تعالیٰ ان کی کمزوریوں کو اپنے دامن عفو میں جگہ دیں اور ان کو اپنی رحمت و مغفرت سے سرفراز فرمائیں، آمین۔
(صباح الدین عبدالرحمن، جون ۱۹۶۶ء)

 

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