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On Stretched Flows of Carreau Fluid With Heat Transfer: Modeling and Analysis

Thesis Info

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Author

Irfan, Muhammad

Program

PhD

Institute

Quaid-I-Azam University

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2019

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12508/1/Muhammad%20Irfan%20maths%202019%20qau%20isb%20prr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726804499

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This thesis aims at understanding and improving the existing knowledge in the area of generalized Newtonian fluids. The main focus in this work is given to the mathematical modeling and computation of three dimensional flow of Carreau rheological model that can describe both the shear thinning and shear thickening characteristics of fluids. Consequently, three dimensional boundary layer equations for both steady and unsteady cases are established. Utilizing Boussinesq estimates the governing flow and heat transfer expressions of Carrau fluid model influenced by a bidirectional stretched surface have been framed. The appropriate conversions reformed the modeled partial differential equations (PDEs) into ordinary differential equations (ODEs) and results are established both numerically as well as analytically by employing bvp4c scheme and homotopy analysis method (HAM), respectively. The performance of influential parameters for shear thinning-thickening cases are graphed, tabulated and conferred. Additionally, a comparative study has been reported in both graphical and tabular forms with available literature. The consideration of non-Newtonian fluids have noteworthy utilizations in the area of energy, deferrals, genetic disciplines, polymer clarification, imitation fibers compound inventions, geophysics and refined materials, etc. Regardless of such attentions, various researchers are still affianced to scrutinize further the streams of non-Newtonian fluids. The contributions in this thesis include mathematical modeling of Carreau fluid in three dimension with elucidations of results of considered problems. The results for the velocity, temperature and concentration fields for both shear thinning-thickening cases are reported. The results showed that the velocity components have conflicting performance for the local Weissenberg numbers for shear thinning and shear thickening cases. It was also noted that the enhancing values of the power law exponent intensify the fluid velocities for both instances. Further, the temperature of Carrau fluid for shear thinning case intensifies for higher estimation of the local Weissenberg numbers; however, for shear thickening fluid a different behavior is observed.
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مرشد دا شہر

مرشد دا شہر
(آنحضور صوفی محمد اصغر سائیں رینجرز آف جہلم شریف والوں کی یاد میں )

سیّو مینوں دیو ودھائیاں جہلم شہر نوں میں جے چلی
خوشیاں ہوئیاں دون سوائیاں میں تے جاندی پئی ہاں کلی

سیاں کرن روانہ آئیاں نالے روون وانگ سودائیاں
ماہی ہن کیوں دیراں لائیاں ، انہاں نوں دیوے کون تسلی

جہلم شہر دے کوچے گلیاں ، ڈھونڈ رہی میں تھکیاں تلیاں
پارس(۱) پیر دے در آ کھلیاں ،مینوں لوکی کہندے جھلی

دلبر دے میں دیس نوں جاواں اوتھے جاکے شکر مناواں
درد دلے دے رج سناواں ، عشقے دی اے چوٹ اَولی

دید تیری نوں ترسن سیاں ، ہجر سزا میں کٹ دی پیاں
ہوئیاں اج سہاگن جنھاں راہ ہمیش سجن دی ملّی

قادری عشق چبارے چڑھیاں اوہ نہ فیر گھراں نوں وڑیاں
جہلم جا اوہ درس چ پڑھیاں، انہاں نوں چٹھی مرشد گھلی

(پارس پیر: صحابی رسول جن کا دربار جہلم دریا کے کنارے پر ہے)

Polemic Views about the Source of Qur’ān in Medieval Christian Writings with a Reflection upon Contemporary Orientalists: A Critical Review

Before the advent of Islam, there was a strong tradition of polemic writings both among the Jews and the Christians to prove the errors of adversary. But, after the advent of Islam in general, and the conquering of Roman / Byzantine empire by the Muslims in the era of Righteous Califate in specific, due to embracing Islam by a large number of local populace, the flux of Christian polemic writing was directed towards Islam. A number of polemic writings surfaced as a resort to keep their religion alive. These writings tried to belittle all basic concepts, beliefs, and creeds of Islam, and even the personality of the Prophet Muhammad (PBUH), and the Holy Qur’ān. The contemporary orientalist polemic writers have claimed that there are several accounts originating from Jewish and Christian sources which tried to allegedly prove that the Holy Prophet Muhammad (PBUH) was instructed by Jewish or Christian scholars in the composition of Holy Qur’ān, and to support this claim, they not only point out to certain Jewish or Christian sources, but have parroted their arguments as well, with the similar motives. With this, they have attempted to discredit Islam by raising doubts about the origin of Qur’ān. But despite of their efforts the fact remains firm that the Qur’ān has a Divine origin and was revealed by Allah Ta‘ālā unto Prophet Muhammad (PBUH). In this regard, the purpose of this article is to analyze the medieval polemic writings, their motives, and their rumination by the orientalists of the contemporary age. A critical approach is adopted in this analytical, and historical study, using published authentic data and literature including academic books, research papers, periodicals, dictionaries and reliable web sites also.

Role of Zinc Ascorbic Acid and Cedrus Deodara Root Oil in Prevention Cyclophosphamide Induced Nephrotoxicity in Rat Model

BACKGROUND: Nephrotoxicity is one of the adverse effects of cyclophosphamide which is a cytotoxic alkylating agent that may be nephrotoxic both in humans and animal models by generating reactive oxygen species. Therefore, purpose of this study was to investigate whether antioxidants like zinc and ascorbic acid as well as most prominent traditional-based plant material like Cedrus deodara root oil could decrease the intensity of toxicity caused by cyclophosphamide in albino rats. OBJECTIVES: · To evaluate the histomorphological changes in cyclophosphamide-induced kidney damage in albino rats. · To determine the role of zinc and ascorbic acid in cyclophosphamide-induced renal damage in rat model. · To assess the phytoprotective role of cedrus deodara root oil in cyclophosphamide-induced kidney damage. · To observe the renal function tests in the controls and experimental groups of animals. · To observe the changes in the antioxidative enzymes in the controls and experimental groups of animals. MATERIALS AND METHODS: The present study was conducted at Isra University, Hyderabad and Al-Tibri Medical College, Karachi. The animals used for this study were adult albino rats of (Wistar strain) 200-250 g of either gender and were procured from the animal house of Al-Tibri Medical College, Karachi. They were maintained on well balanced laboratory diet. The animals were kept in 12/12 hour light-dark cycle and water was provided freely x throughout the experimental period. The temperature where the animals were placed was maintained between 25 – 30˚C. total sixty (60) albino rats was taken in this experimental study. Animals were divided into six groups and each group comprised of ten (10) rats placed in separate cages. Control group A were given normal saline 1 ml/ day intraperitoneally for 21 days. Experimental group B received single dose of cyclophosphamide 1mg/100g intraperitoneally on first day of study. Experimental group C received 1mg/100g cyclophosphamide and 500 mg/100g ascorbic acid orally daily for 21 days. Experimental group D received cyclophosphamide 1mg/100g single dose on first day along with zinc-sulphate 0.1mg/100g daily for 21 days. Animals of experimental group E received cyclophosphamide 1mg/100g on first day intraperitoneally along with ascorbic acid 25 mg/100g, zinc sulphate 0.05 mg/100g and Cedrus deodara root oil 0.05 mg/100g intraperitoneally for 21 days. At the end of 21 day of treatment protocol, rats were anesthetized by ether inhalation and scarified for biochemical and histopathological examination. Blood sample 5.0 ml was taken through cardiac puncture and transferred into sterilized gel tubes for estimation of biochemical parameters. Kidneys were removed out after laparotomy and preserved at -80˚C for tissue slicing. Thick tissue sections 5μ were prepared by rotary microtome. The tissue sections were mounted on well cleaned and gelatinized slides and were stained with Hematoxylin and Eosin according to Bancroft and Stevens method for histopathological findings. The data obtained was then analyzed on SPSS version 21.0 (IBM, corporation, USA) P-value 0.05 was taken as significant. xi RESULTS: The results of present study showed that serum superoxide dismutase (SOD), glutathione peroxidase (GPX), reduced glutathione (GSSH), catalase, Malondialdehyde (MDA), creatinine, urea, uric acid (UA) and electrolytes like Na+, K+, Cl-, Ca++ and Mg++ were found statistically significant among the control and experimental groups of animals. Animals of group B when compared with control group A and other groups showed statistically significant difference of antioxidant enzymes (p<0.0001). experimental group F when treated with (cyclophosphamide, ascorbic acid and zinc sulphate) showed significant increase in antioxidant enzymes as well as significant improvement were seen in urea, creatinine and serum electrolytes (p=0.001). CONCLUSION: The present study revealed that the Cedrus deodara root oil exerted potent free radical scavenging property and showed potent antioxidant activity. Hence, it may be concluded that the mechanisms of nephroprotection by herbal agent Cedrus deodara root oil in cyclophosphamide treated animals could be due to its antioxidant and free radical scavenging activity.