Mathematical Journal of Interdisciplinary Sciences <div class="archives"> <h4>Welcome to MATHEMATICAL JOURNAL OF INTERDISCIPLINARY SCIENCES</h4> </div> <div class="about_jorunal_content"> <p>The journal is devoted to publication of original research papers, survey articles and review articles from all branches of Mathematical Sciences and their applications in engineering and other scientific disciplines with specific thrust towards recent developments in the chosen fields. It is an endeavour to propagate and exchange ideas for research, encourage creative thinking, and provide access to knowledge without any barriers. It has a broad scope that covers fields of pure and applied mathematics, mathematical physics, probability, theoretical and applied statistics, process modelling, control theory, optimization techniques and other related areas. Thus, the journal welcomes papers, both in theoretical and applied fields, of original and expository type that address issues of inter-disciplinary nature and cross-curricular dimensions.</p> <p>The aim of the journal is to offer scientists, researchers and scientific community at large, the opportunity to share knowledge related to advancements in mathematical sciences and its applications in other disciplines by emphasizing on originality, quality, importance and relevance of published work.</p> <p>The ‘Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.)’ is an open access, peer-reviewed scholarly journal devoted to publishing high- quality papers with an internationally recognized Editorial Board Members. It is published twice a year (in March and September).</p> </div> Chitkara University en-US Mathematical Journal of Interdisciplinary Sciences 2278-9561 <div class="archives">&nbsp;</div> <div class="about_jorunal_content"> <p>Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at <a href=""></a>. 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Based on a work at <a href="" rel="dct:source"></a></td> </tr> </tbody> </table> </div> </div> Extension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer <p>Blasius equation is very well known and it aries in many boundary layer problems of fluid dynamics. In this present article, the Blasius boundary layer is extended by transforming the stress strain term from Newtonian to non-Newtonian. The extension of Blasius boundary layer is discussed using some non-newtonian fluid models like, Power-law model, Sisko model and Prandtl model. The Generalised governing partial differential equations for Blasius boundary layer for all above three models are transformed into the non-linear ordinary differewntial equations using the one parameter deductive group theory technique. The obtained similarity solutions are then solved numerically. The graphical presentation is also explained for the same. It concludes that velocity increases more rapidly when fluid index is moving from shear thickninhg to shear thininhg fluid.<br><strong>MSC 2020 No.:</strong> 76A05, 76D10, 76M99</p> Manisha Patel Hema Surati M G Timol Copyright (c) 2021 Manisha Patel, Hema Surati, M G Timol (Author) 2021-06-08 2021-06-08 9 2 35 41 10.15415/mjis.2021.92004 Some Identities Involving the Generalized Lucas Numbers <p><img src="/public/site/images/ojsadmin/abstract.png"></p> Mansi S. Shah Mansi S. Shah Devbhadra V. Shah Devbhadra V. Shah Copyright (c) 2020 Mansi S. Shah and Devbhadra V. Shah 2020-10-22 2020-10-22 9 2 11 15 10.15415/mjis.2020.91002 Determination of Exponential Congestion Factor of Road Traffic Flow Caused By Irregular Occurrences <p>The present paper deals exponential congestion model of road traffic flow caused by irregular occurrences. Congestion that is happened by unpredictable events, for example, auto collisions, handicapped vehicles, climate conditions, over burdens and unsafe materials of vehicles. On account of these sorts of sudden occasions, the travel times taken on the roadways are questionable. We established the steady state conditions based on number of vehicles on road links. The large c values of those links, M/M/1 queues model under the batch service interruptions may be used. The formulation and assumptions of the proposed models have been developed. The exponential congestion factor (ECF) models based on M/MSP/C queuing have been presented. Finally, the numerical examples have also been discussed.</p> DK Gangeshwer Thaneshwar Lal Verma Copyright (c) 2020 DK Gangeshwer, Thaneshwar Lal Verma (Author) 2020-10-22 2020-10-22 9 2 17 22 10.15415/mjis.2020.91003 Infinite Nested Radicals - A Way to Express All Quantities Rational, Irrational Transcendental By a Single Integer Two <p>This paper proves that all mathematical quantities including fractions, roots or roots of root, transcendental quantities can be expressed by continued nested radicals using one and only one integer 2. A radical is denoted by a square root sign and nested radicals are progressive roots of radicals. Number of terms in the nested radicals can be finite or infinite. Real mathematical quantity or its reciprocal is first written as cosine of an angle which is expanded using cosine angle doubling identity into nested radicals finite or infinite depending upon the magnitude of quantity. The finite nested radicals has a fixed sequence of positive and negative terms whereas infinite nested radicals also has a sequenceof positive and negative terms but the sequence continues infinitely. How a single integer 2 can express all real quantities, depends upon its recursive relation which is unique for a quantity. Admittedly, there are innumerable mathematical quantities and in the same way, there are innumerable recursive relations distinguished by combination of positive and negative signs under the radicals. This representation of mathematical quantities is not same as representation by binary system where integer two has powers 0, 1, 2, 3…so on but in nested radicals, powers are roots of roots.</p> Narinder Kumar Wadhawan Priyanka Wadhawan Copyright (c) 2020 Narinder Kumar Wadhawan, Priyanka Wadhawan 2020-10-09 2020-10-09 9 2 1 9 10.15415/mjis.2020.91001