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Acoustic Scattering from Different Geometries Eigenfunction Mode Matching Technique

Thesis Info

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Author

Bashir, Amna

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/13939/1/Amna_Bashir_Maths_HSR_2018_CIIT.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676725430793

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In this thesis we solve and compare two tri and penta furcated waveguide problems having rigid and soft lining by using mode matching technique. We also study the phenomenon of extraordinary acoustic transmission (EAT) in Helmholtz resonator. It is shown that combination of a single propagating mode and symmetry orthogonal to direction of propagation leads to EAT. This is accomplished by decomposing the problem using symmetry, the Blaschke product and the properties of functions of a single complex variable which have modulus one on the real axis. A detailed numerical study has been presented to analyze reflection and transmission behaviour to probe the acoustic radiated energy. These results can be used in noise reduction devices and theory of acoustics.
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چاند مدھم ہے روشنی کم ہے

چاند مدھم ہے، روشنی کم ہے
خواب دھندلے ہیں، آنکھ بھی نم ہے

عمر حاضر جواں دلوں کا کھیل
عمرِ رفتہ عجیب سا غم ہے

زندگانی نثار تم پہ کروں
وار دوں تم پہ سب مگر کم ہے

زندگی! تیرے آستانے پر
موت آنے سے ایک ماتم ہے

دل بھی چاہے کہ زخم تازہ رہیں
وقت کی راگنی بھی مدھم ہے

جس قدر خواہشیں ہیں سینے میں
خضر کی عمر بھی ہمیں کم ہے

آئو ہم بھی گزار لیں لمحے
سانس رکتی ہے آخری دم ہے

تم فضاؔ ہو جہاں پہ چھا جائو
ہم دھواں ہیں ہمیں یہی غم ہے

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Synthesis and Characterization of Shape Memory Polyurethane/Conducting Polymer Blends and Their Nanocomposites

Shape-memory polyurethanes (SMPUs) blends and nanocomposites with conducting polymers (CPs) have fascinated noteworthy considerations for both academic and industrial research due to their important and captivating applications. In the present study, four CPs namely polypyrrole (PPy), polyaniline (PAni), polythiophene (PTh) and poly(aniline-co-thiophene) (PAni-co-PTh) were prepared via chemical oxidative polymerization and used to synthesize the blends and nanocomposites with shape-memory polyurethane (SMPU). Polyurethane was prepared by addition polymerization using polyethylene oxide (PEO) and poly(propylene glycol)-block-poly(ethylene glycol)-block-poly(propylene glycol) (PPG-b-PEG-b-PPG) as soft segment, while 2,4-toluene diisocyanate (2,4-TDI) as hard segment. Four series of PU/CPs blend and composite films for each conducting polymer with the varying weight % of CP (0.1, 0.3, 0.5 and 1.0%) were fabricated. The structural characterization and morphology of the prepared samples was inspected by Fourier transform infrared (FT-IR) and scanning electron microscopy (SEM), respectively. Mechanical, thermal, electrical and shape memory properties of the SMPU/CPs blends and nanocomposites were also investigated. Improved mechanical performances such as tensile strength and Young’s modulus of PU/CPs blends were observed with higher content of CPs, while nanocomposites showed decreasing trend with CPs owing to globular morphology, outcome of layered adsorption of CPs over multi-walled carbon nanotube (MWCNTs). Thermal stability was found to increase systematically with increasing CPs content in blend and composite films. Differential scanning calorimetric (DSC) scans indicated an increase in glass transition, melting and crystallization temperatures for blend samples with CPs loading (0.1-1.0 wt. %). While for nanocomposites, better DSC parameters were observed with 0.1% CPs content. All prepared samples followed the same trend with different CPs except PTh-based blends and composites which was due to the lack of interaction between PU segments and PTh chains. X-ray diffraction results also complimented the DSC studies. Moreover, the electrical conductivity of PU/CPs blends and nanocomposites was also found to be a function of CPs loadings. However, nanocomposites possessed higher conductivities values compared to their respective blends ascribed to the presence of thermally more stable and electrically conductive modified carbon nanotubes in composites. Remarkable recoverability of thermally triggered shape memory (SM) behavior was achieved for all prepared PU/CPs blends and nanocomposites.