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Investigation of Free Surface Magnetohydrodynamics Boundary Layer Flow With Heat Transfer over an Unsteady Stretching Sheet

Thesis Info

Access Option

External Link

Author

Rehman, Sajid

Program

PhD

Institute

Islamia Collage Peshawar

City

Peshawar

Province

KPK

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Fluid Mechanics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/12576/1/Sajid_Rehman_Fluid_Mechanics_2018_ICP_22.05.2019.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726504091

Similar


The study of thin liquid film flow is equally critical for engineers, mathematicians and physicists. The engineering revolution core is expended by the impacts of lubrication and microelectronics industry. In general, thin liquid film flow occurs widely in nature and also in various industrial processes namely, thin liquid films are encountered in any lubrication problem (lubricating gears, bearings, metered coating, cold rolling of steel), in microelectronics industry (manufacture of CDs, DVDs, screen, electronic circuit, microelectronics chips and computer disks), in printing technology (drop spreading process), in heat and mass transfer devices (spinning disk reactors and distillation columns) to limit fluxes and to protect surfaces etc. In this research the attention has been given to the analysis of theocratical investigation of magnetohydrodynamics flows over an unsteady stretching sheet. Non-dimensional scaling are used for the governing equations with finite boundary conditions to transform into their dimensionless form. Different physical effects are involved in the respective problems, to observed the effects on the boundary layer flows. Similarly different types of fluid are investigated for the MHD unsteady thin film flow such as Newtonian fluid, non-Newtonian fluids (second grade fluids, Casson fluid and nanofluids). Magnetic field is normal to the direction of flow in all the respective problems. Effects for various physical parameters are investigated in the form of tables and figures. HAM and BVP4C are used for the solutions of the problems.
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روٹی سمجھ چنگیر والی چن ہو گئی

روٹی سمجھ چنگیر والی چن ہو گئی
تھگڑی سو جو نال بدن ہو گئی

لگا عشق میں رن پرنا آندی
اگوں بالاں دی ادھی درجن ہو گئی

پردہ مکھ توں الٹیا جس ویلے
جھلک چودھویں دا ہک چن ہپو گئی

یونیورسٹی دی کڑی پرنا آندی
مکلاوا آندیاں سار ان بن ہو گئی

ترلے کرنا ایں کیوں وڈیریاں دے
ایڈی وڈی کہیڑی تینوں بھن ہو گئی

روندا آیا ایں تے روندا ٹر جاسیں
دنیا کتھوں ایہہ تیری سجن ہو گئی

بیوی لڑدی رہندی سی نال میرے
دتا خرچہ تے اوہ مکھن ہو گئی

پایا سوہنیاں نے صرف اک پھیرا
رونق ویکھ وچ کیویں چمن ہو گئی

دنیا مال نہ دولت کم کسے
دولت عمل دی نال کفن ہو گئی

والضحیٰ چہرہ والیل زلفاں
رحم دلی وی سنگ بدن ہو گئی

پنجابی لکھنا بولنا گھٹ ہویا
لگ دا پیا اے بے وطن ہو گئی

بچہ اپنا ہی سوہنا لگ دا اے
لگے سوہنی پرائی جو رن ہو گئی

تناں شئیاں توں اصل وچ ھین جھگڑے
زر، زمین تے تیسری زن ہو گئی

A Critique of Robert Spencer’s Views Regarding Dhimmis and Jizya

The following research paper is an academic and historical study of Robert  Spencer’s views about Dhimmis and Jizya. According to Robert Spencer, dhimmis are treated like ‘guilty’ people and subjected to biased and stringent conditions. Furthermore, he believes that there is an entire system of regulations that institutionalize an inferior status for non-Muslims in Islamic law. This paper is an academic effort, aiming to prove that Islam does not treat non-Muslim citizens as inferior and second class citizens nor imposes unbearably rigorous taxes on them. It consists of two parts: the first deals with Robert Spencer’s views regarding Dhimmis and the second part takes into account his views about Jizya. In this connection, all his views and allegations have been taken into consideration and an attempt has been made to absolve Islam of such groundless allegations.

Platelet Cd Markers by Flow Cytometry in Normal Individuals and in Patients With Untreated Type 2 Diabetes Mellitus

Platelet flow cytometry is an emerging tool in diagnostic and therapeutic hematology. It is eminently suited to assess the expression of platelet surface receptors both qualitatively as well as quantitatively. It can thus serve as a useful parameter for in vivo expression of platelet activation and thus fore-warn the risk of thromboembolism which is inherent in patients with untreated type 2 diabetes mellitus. This technique can also be used to study and compare the effect of various antiplatelet drugs on the level of platelet activation and to establish any dose-effect relationship of these drugs. Topographical localization of platelet granules and study of platelet-platelet and platelet-leukocyte interaction is also possible by this procedure. All these parameters serve as pointers towards the presence of activated platelets in the circulation with its thromboembolic consequences. This technique can also be put to therapeutics by assessing the effect of varying doses of clopidogrel on suppressing platelet activation. It can thus serve as a reliable and easy technique to determine the dose of various antiplatelet drugs and offer a custom-made protective antithrombotic therapy. This study was undertaken with the primary object of determining platelet reactivity in patients with untreated type 2 diabetes mellitus and to study the effect of clopidogrel administration on the state of in vivo platelet XIactivation in these patients. It was extended to include the effect of clopidogrel on reactive platelet CD markers after in vitro pre-treatment with platelet agonists, more specifically ADP. This agonist was selected because of its easy handling and predicable platelet stimulating effect. It was postulated that platelets in patients with type 2 diabetes mellitus circulate in the blood in hyperactive state and predispose to thrombotic complications so frequently encountered in these patients. This study confirms that platelets in these patients are at a higher state of reactivity and that clopidogrel can effectively suppress the enhanced platelet response. Four CD markers were chosen for this study; of these four markers CD63 and CD62p have a linear relationship with heightened platelet reactivity. The other two markers i.e. CD41 and CD61 are unaffected in these patients and do not seem to be causally related to increased propensity to develop athero-thrombotic complications in patients with type 2 diabetes mellitus. Sequential study of the reactive CD markers i.e. CD63 and CD62p shows that CD63 hyperactivity as indicated by flourescine positivity is a constant and persistent change while that of CD62p is an unstable response which falls off with the passage of time. It is therefore concluded that CD63 platelet markers should be evaluated to assess the state of platelet reactivity in patients with untreated type 2 diabetes mellitus.