Search or add a thesis

Advanced Search (Beta)
Home > Some New Results in the Theory of Non- Newtonian Fluids. Exact Solutions and Energetic Balance

Some New Results in the Theory of Non- Newtonian Fluids. Exact Solutions and Energetic Balance

Thesis Info

Access Option

External Link

Author

Mahmood, Amir

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2005

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/585

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727204245

Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

Join our Whatsapp Channel to get regular updates.

Similar


The main aim of this thesis is to present some new and recent results from the theory of non-Newtonian fluids. Such results refer to different motions of generalized second grade and Oldroyd-B fluids and ordinary Maxwell fluids. Generally, the con- stitutive equations for generalized non-Newtonian fluids are obtained from those for non-Newtonian fluids by replacing the time derivatives of an integer order by the so called Rieman-Liouville fractional operators. In chapter 2, it is studied the rotational flow of a generalized second grade fluid between two infinite coaxial cylinders. The velocity field ω(r, t) and the shear stress τ (r, t), obtained by means of Laplace and Hankel transforms, are presented under series form in terms of generalized G functions. The obtained solutions can be spe- cialized to give the similar solutions for ordinary second grade and Newtonian fluids performing the same motion. Chapter 3 deals with the study of helical flow of gener- alized Oldroyd-B fluids in a single circular cylinder. The components of velocity field and their associated shear stresses have been found in terms of generalized G and R functions and are presented as sum of two terms, one of them is the similar solution for the Newtonian fluid. Chapter 4 contains some remarkable results regarding the energetic balance for the flow of Maxwell fluid due to a constantly accelerating plate. We have determined the dissipation, the power due to the shear stress at the wall and boundary layer thickness for this motion. The corresponding results for the similar flow of a Newtonian fluid are also recovered as special case. The specific features of both fluids are compared and discussed. viiAcknowledgements In the name of Allah, the Most Beneficent, the Most Merciful. Clearly, when the task of this magnitude is undertaken, many people are involved in some capacity and deserve to be recognized. Firstly, it has been my pleasure to thank Dr. Constantin Fetecau, my supervisor, a highly educated, capable and devoted person, and I do feel much pleased and grateful for the attention, he has given me and also for the keen interest which he has kindly shown towards the future prospect of this dissertation. I will remain thankful to him for his encouragement to me whenever I lost heart due to lengthy and complicated computations. In fact the work could never been completed without his lucid instructions, consistent help and watchful checking. I took advantage of his useful advices and guidance at each step of the completion of this work. It is so nice of Professor A. D. R. Chaudhary, the Director General, Abdus Salam School of Mathematical Sciences (ASSMS), who provided me a wonderful atmosphere for quality research and hard work at this institute. I admire his efforts that he succeeded to attract world renowned mathematicians who contributed a lot to the progress of this school. I am also thankful to Higher Education Commission and the Punjab Govern- ment for their financial support, which supported me very much in concentrating my research work. I humbly pray to Allah for my parents, for their prayers and guidance throughout my life. I would also like to thank my colleagues and official staff of ASSMS for their moral support and cooperation.
Loading...
Loading...

Similar Books

Loading...

Similar Chapters

Loading...

Similar News

Loading...

Similar Articles

Loading...

Similar Article Headings

Loading...

کوئی دھوکا سا ہوا ہو جیسے

کوئی دھوکا سا ہوا ہو جیسے
اشک ہونٹوں کو چھوا ہو جیسے

ایک خوشبو تھی ہوا میں ہر سو
دل نے اک نام لیا ہوا جیسے

آگ ہی آگ ہے اب چاروں طرف
دل کہ جلتا سا دیا ہوا جیسے

جا کے کنعاں میں ہوا کہنے لگی
شاہ ، بے مول بکا ہو جیسے

آ کے اب دیکھ مسیحا میرے
درد کا نام فضاؔ ہو جیسے

صلة تأويل النّص بأصول التخاطب في العربية

This article defines principles of pragmatism and text. It endeavors to elements of interpretation of text as well as relation which plays its vital role for connecting both; text and pragmatism with each other. It goes on to describe a mechanism of reading and understanding of text along with elaboration of its interaction with text. It is so because Arabic based structure and text is having multi-coloured aspects and meanings. It has several ups and downs like surface and depth, metaphor, imagery and allegory in addition to exploitation and adaption. Interpretation of text is the grass-roots of productive cognition. Because the ambiguity in word, sentence even in structure weather it is shorten or long is interpreted in addition to the interpretation of meanings of structures which are ordinarily defined and recognized through involving context and situation of context, bearing in view the original meaning; lexical meaning alongside interpretation with its significant principles and elements. However, all the description said before locates frequently infinity of text meanings.      

Identification and Mutational Analysis of Genes Involved in Skeletal Dysplasia and Alopecia in Pakistani Families

Human Genome Project (HGP) revealed the existence of some 25,000 genes in the human genome; however the function of most of these genes, especially their role in human health and disease, remains uncovered. Elucidating the basis of inherited human disease essentially involves linking genomic variation to clinical phenotype. In this context rare monogenic diseases, often referred to as Mendelian disorders, are of substantial interest because identification of their genetic bases provides insights into the physiological role of the underlying protein, disease pathways and potential therapeutic targets. The recent introduction of next generation sequencing (NGS) technologies has enhanced the disease gene discovery process by replacing the laborious positional cloning studies. Of particular importance is exome sequencing whereby a single streamlined laboratory workflow identifies most of the coding genomic variations. This thesis is an effort to explore the genetic basis of alopecia and skeletal dysplasia in Pakistani populace. Alopecia is a rare heterogeneous common form of hereditary hair loss characterised by a sudden patchy hair loss most commonly occurring on the scalp but occasionally extended to the entire surface of the body. Hypotrichosis refers to diffuse thinning of the scalp hair without any gross defect of the hair shaft morphology while woolly hair is the anomalous variant of strongly curled hair. Evidence for the genetic basis of these disorders has been well established, however a phenotype to genotype relationship is still lacking. Skeletal dysplasias encompass a genetically heterogeneous group of more than 250 disorders of bone and cartilage. They are characterized by abnormal pattering, linear growth, differentiation and maintenance of the human skeleton with the resultant uneven short stature, or dwarfism. Progressive pseudorheumatoid dysplasia (PPD) is a rare autosomal recessive disease characterised by axial and peripheral skeletal dysplasia. Patients with PPD present with stiffness and swelling of joints, motor weakness and joint contractures. Just like alopecia, a phenotype to genotype relation is lacking for skeletal dysplasia, mainly due to variation in clinical phenotype. In this study, 10 unrelated consanguineous families (A to J) were ascertained from different areas of Pakistan. Eight of these families (A to H) were segregating alopecia xiv and two families (I and J) were inheriting skeletal dysplasia. Of the 8 alopecia families, seven families (A to G) showed autosomal recessive mode of inheritance while family H inherited alopecia in autosomal dominant fashion. Both family I and J were segregating skeletal dysplasia in autosomal recessive fashion. Following candidate gene approach all the families were investigated for the involvement of reported genes. Families excluded to known loci/genes were subjected to genome wide scan through microsatellite markers. In the absence of a candidate gene families were subjected to exome sequencing. Families A, B and C were linked to P2RY5 gene locus on chromosome 13q14.11– q21.32. Direct sequencing of the gene revealed a novel mutation (c.insT583) in family A, and a previously known mutation (c. 436 G>A) in the rest of the two families (B and C). Families D, E, F and G were linked to LIPH gene locus on chromosome 3q27-q28. Direct sequencing revealed two known mutations; c.659_660delTA in family D and c.280_369dup in family E. Family F revealed a novel nonsense mutation c.778A>T. Family G was linked to LIPH gene locus but no functional variation could be found when the gene was sequenced. Family H was linked to a novel locus on chromosome 16p13.3. Exome sequencing did not show any functional variant in the entire coding portion of the genome. In both families G and H, the possibility of a mutation in the regulatory region cannot be ruled out. Family I was linked to a large region on chromosome 16 through genome wide scan with microsatellite markers. Exome sequencing identified a missense mutation (c.1415C>G) in the conserved part of a novel gene IRX5 which encodes a transcription factor. This gene will be subjected to further functional assays to get an insight into the mechanism underlying skeletal dysplasia. Family J was subjected to exome sequencing exclusion to a candidate gene. A nonsense mutation (c.156 C>A) associated with a missense mutation (c.248 G>A) in WISP3 gene on chromosome 6q21. Exon 3 of WISP3 gene which carries these mutations is suspected to harbour a mutation hotspot. These findings will provide the basis for genetic counselling and carrier screening in families inheriting alopecia and skeletal dysplasia. These results will also help to establish prenatal diagnosis for the disorders under study. The novel findings of this study will serve as a starting point for future investigations towards understanding the pathogenesis of skeletal dysplasia. Publications 1. Tariq, M., Azhar, A., Baig, S., M., Dahl, N. and Klar, J. 2012. A novel mutation in the Lipase H gene in autosomal recessive hypotrichosis and woolly hair. Sci Rep. Epub ahead of print. DOI: 10.1038/srep00730 2. Tariq, M., Azhar, A., Baig, S. M., Dahl, N., Klar, J. 2012. A novel mutation in Lysophosphatidic Acid Receptor 6 gene in autosomal recessive hypotrichosis and evidence for a founder effect. Eur J. Dermatol. 22(4): 464-6. 3. Khan, T. N., Tariq, M., Malik, N. A., Klar, J., Baig, S., M and Dahl, N. 2014. Evidence for autosomal recessive inheritance in SPG3A caused by homozygosity for a novel ATL1 missense mutation. (Accepted: European journal of Human Genetics). 4. Hussain, M. S., Baig, S. M., Neumann, S., Peche, V. S., Nurnberg, G., Tariq, M., Jameel, M., Khan, T. N., Fatima, A., Malik, N. A., Ahmad, I., Altmuller, J., Frommolt, P., Thiele, H., Hohne, W., Yigit, G., Wollnik, B., Neubauer, B. A., Nurnberg, P. Jand Noegel, A. A. 2013. A gene associated with the centrosome during mitosis and is mutated in a large Pakistani family with autosomal recessive primary microcephaly. Hum mol genet. 20;22(25):5199-214 5. Khan, T. N., Klar, J., Nawaz, S., Jameel, M., Tariq, M., Malik, N, A., Baig, S. M. and Dahl, N. 2013. Novel missense mutation in the RSPO4 gene in congenital hyponychia and evidence for a polymorphic initiation codon (p.M1I). BMC Med Genet. Epub ahead of print. DOI: 10.1186/1471-2350-13-120 6. Baig, S.M., Sabih, D., Rahim, K., Azhar, A., Tariq, M., Hussain, M. S., Naqvi, S. M. S., Raja, G. K., Khan, T. N., Jameel, M., Iram, Z., Noor, S., Baig, U.R., Qureshi, J. A., Baig, S. A., Bakhtiar, S. M. 2012. β-Thalsssemia in Pakistan: a pilot program on prenatal diagnosis in Multan. J of Pediatr Hematol Oncol. 34(2):90-2. 7. Nawaz, S., Tariq, M., Ahmad, I., Baig, S. M., Dahl, N., Klar, J. 2012. Non-bullous congenital ichthyosiform erythroderma associated with homozygosity for a novel missense mutation in an ATP binding domain of ABCA12. Eur J. Dermatol. 22(2):178-81. 8. Nawaz, S., Tariq, M., Azhar, A., Rasool, M., Bakhtiar, S. M., Ahmad, I., Rehman, S. U., Jameel, M., Khan, T. N., Baig, S. A., Klar, J., Dahl, N., Baig, S. M. 2011. Report of a recurrent mutation in ARS (component B) gene with severe Mal de Meleda in a large consanguineous Pakistani family. Pak J Med Sci. 27(3):686-9. 9. Nawaz, S., Klar, J., Wajid, M., Aslam, M., Tariq, M., Schuster, J., Baig, S.M. and Dahl N. 2009. WNT10A missense mutation associated with a complete Odonto-Onycho-Dermal Dysplasia syndrome. Eur J Hum Genet. 17:1600-5. 10. Rasool, M., Schuster, J., Aslam, M., Tariq, M., Ahmad, I., Ali, A., Entesarian, M., Dahl, N., Baig, S. M. 2008. A novel missense mutation in the EDA gene associated with X-linked recessive isolated hypodontia. J Hum Genet. 53:894-8.