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Modeling and Analysis of Single/Two-Layer Thin Film Flows

Thesis Info

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Author

Gul, Taza

Program

PhD

Institute

Abdul Wali Khan University

City

Mardan

Province

KPK

Country

Pakistan

Thesis Completing Year

2015

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/14581/1/TAZA_GUL_Maths_Abdul_Wali_Khan_Mardan_2015.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726653913

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This study deal with the action of gravity on the single and the double thin layer of non-Newtonian fluid which was passed over the belt. b The descriptive study is mainly focused on the effects of the fluid rheology. We paid special attention to the structuring of models for describing the behavior of the movement of the thin films. Specially those fluid films having high molecular weight which consists of greater complexities. Navier-stokes equations cannot do justice in describing the behavior of such fluids to the extreme. To describe the properties of all non-Newtonian fluids in a single constitutive equation sound ridiculous due to the great variety of such fluids which makes it difficult to design one wholesome equation for it. To cope up with this complexity, varieties of models have been presented in the literature. This study is conducted with several elastic fluid models such as second and third grade fluid models and inelastic power law fluid model. Highly non-linear relationships in term of differential equations arise as a result of modeling rheological fluids in the domain of a problem. Comprehensive study of a skin friction, volume, flux, vorticity, near boundary layer, diffusion of temperature is conducted for such complex nature of fluids. Moreover the effect of oscillation on the above features in case of unsteady layers is discussed in detail.
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من دی صفائی

من دی صفائی
رب سچے نوں چھڈ کے بنیوں نفس دا یار پجاری
ایہنے تیرا ساتھ نہیں دینا کیوں تیری مت ماری
من نوں چھڈ کے تن نوں دھوویں، دھوویں توں مل مل
من میلا تن اجلا تیرا، بھاندی نہیں ایہہ گل
قلب صفائی جے نہ ہووے ، پیر نوں فیر سنہڑا گھل
نظر عنایت نال اوہ کرسن تیرے قلب نوں جاری
من نوں صاف کریں جے اپنے ہووے نور اُجالا
جس تے نظر کرم دی ہووے بڑے نصیباں والا
قبر تیری وچ ذکر فکر نے دیوا آن ہے بالا
بن حسابوں بخشیا جاسیں جس دی سچی یاری
سوہنا سائیں سانوں ویکھو نعمتاں نال نوازے
ہر ہر نعمت والے اوہنے کھولے نیں دروازے
کھاویں موج مناویں نالے پھل وی دیوے تازے
پر توں سجناں کردا ناہیں اوہدی شکر گزاری
قادریؔ سائیں ویکھیں کدھرے رب نوں نہ بھل جاویں
اوہدے باہجھوں ہور کسے نوں توں نہ دکھ سنانویں
پنجتن پاک دا صدقہ میرے مولا کرم کماویں
صدقہ سوہنے پاک نبیؐ دا بخشیں امت ساری

حدیث: کل أمر ذی بال کا تحقیقی جائزہ

Allah, Himself took the responsibility to protect the Quran. Hadith for the sake of safety of the Quran must also be protected. That is why as a prominent AlUmma scholars created principles to set Sehat (Status) and Zu'f (weakness) of traditions. Each tradition is important to be tested under these principles so that its possible Status and visual is clear. When starting a job prophet (SAW) narrated a tradition of which the name of Allah has taught literature but the tradition has been reported from different words, because of which scholars have different opinions of Sehat and Zu'f of the tradition. So, in this Article a research is presented about the aforesaid tradition.

Synthesis and Characterization of Magnetic Nanoparticles Fe3o4, Co3o4 and Their Application in Urea Biosensing

The present research work shows the fabrication of potentiometric urea Biosensor based on magnetic nanoparticles iron oxide (Fe3O4) and cobalt oxide (Co3O4) through simple, economical and reproducible approach. Co-precipitation method has been adopted for synthesis of nanoparticles of Fe3O4 and Co3O4. Scanning electron microscope (SEM), X-rays powder diffraction (XRD) and Raman spectroscopic characterization tools have been utilized to look through the morphology, compositional purity, crystallinity and emission characteristics of the fabricated magnetic nanoparticles. The study of magnetic measurement of Fe3O4 and Co3O4 nanoparticles was carried out in order to confirm their ferromagnetic behaviour, which could be attributed to the uncompensated surface spins and/or finite size effects. The magnetic study depicts that the ferromagnetic order of the Fe3O4 and Co3O4 nanoparticles is raised with increasing the decomposition temperature. Furthermore, in one set of experiment, the potentiometric urea biosensor was fabricated by drop casting the initially prepared isopropanol and chitosan solution, containing Fe3O4 nanoparticles, on the glass fiber filter (2cm diameter). To extract the voltage signal from the functionalized nanoparticles, a copper wire (thickness ~500 μm) has been utilized. The functionalization of surface of the Fe3O4 nanoparticles is obtained by the electrostatically immobilization of urease onto the nanobiocomposite of the Fe3O4-chitosan (CH). Urea biosensor with enhanced sensitivity, specificity, stability and reusability was fabricated. Electrochemical detection procedure has been adopted to measure the potentiometric response over the wide logarithmic concentration range of the 0.1 to 80 mM. Urea biosensor based on Fe3O4 nanoparticles depicts good sensitivity with 42 mV per decade at room temperature. In other set of experiment, a potentiometric urea biosensor has been fabricated through the immobilization of urease enzyme onto Co3O4-CH hybrid nanobiocomposite on glass filter paper and a copper wire (500μm diameter) has been attached with nanoparticles to extract the voltage output signal. The shape, size and dimensions of the Co3O4 magnetic nanoparticles were investigated by scanning electron microscopy (SEM), and diameter of nanoparticles lies in the range between Abstract 2 80-100 nm. The structural quality of the Co3O4 nanoparticles is confirmed from X-ray powder diffraction (XRD) measurements while the Raman spectroscopy has been used to understand the chemical bonding between the different atoms. A physical absorption method has been adopted to immobilize the enzyme on to the surface of Co3O4-CH hybrid nanobiocomposite. The potentiometric sensitivity curve measured over the large concentration range 0.1 - 80 mM of urea electrolyte and it revealed that the fabricated biosensor holds good linear sensing ability with a slope curve of the 45mV / decade. Besides magnetic nanoparticles, non magnetic nanoparticles silver (Ag) was also exploited for the fabrication of urea biosensor. Magnetic nanoparticles of Co3O4 showed better sensitivity response of 45mV per decade in comparison to that of Fe3O4 and Ag nanoparticles sensitivity response of 42 mV per decade. Presented biosensors depict good reusability, selectivity, reproducibility; resistance against interferers along with the nice stable output response of ~12 seconds. Moreover, proposed biosensor was used for determination of urea concentration in urine and blood samples of healthy and sick people. Comparing the results with laboratory data indicates that results were consistent with the laboratory data. Keywords: Cobalt oxide (Co3O4), iron oxide (Fe3O4), magnetic nanoparticles, potentiometry, urea biosensor, chitosan, magnetic studies.