iosr-Jm   Volume-16 ~ Issue-4 ~ Jul. – Aug. 2020

Abstract: In this......

Keywords: Sums....

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Abstract: The book on 'Vedic Mathematics' written by Jagadguru Sankaracarya Sri Bharati Krisna Tirthaji Maharaja contains 16 Sutras or formulas and 13 Sub-Sutras or corollaries to carry out various arithmetical operations. The sutra 'Urdhva Tiryagbhyam' is used for multiplication of two decimal numbers containing equal number of digits. The multiplication of two binary numbers having same number of bits can be also done using this sutra. Using this sutra, two polynomials can also be multiplied. The sutra 'Nikhilam Navatascaramm Dasatah' is applied to multiplication of decimal numbers, where the multiplicand and multiplier contain the same number of digits and the numbers are such that one can choose a base (in powers of ten) that is nearest to the numbers to be multiplied.The sub-sutra 'Anurupyena' is used to find the cube of a decimal number and also a binary number......

Keywords: Vedic mathematics, Urdhva tiryagbhyam, Anurupyena

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Abstract: Well test analysis of a horizontal well is complex and difficult to interpret. Most horizontal well mathematical models assume that horizontal wells are perfectly horizontal and are parallel to the top and bottom boundaries of the reservoir. As part of effort towards correct horizontal well test analysis, the purpose of this study is to develop a mathematical model using source and Green's functions for a horizontal well completed in an oil reservoir at late time flow period, where the reservoir is bounded by an edge and bottom constant pressure boundaries...

Keywords: Oil Reservoir, Horizontal Well, Two Constant Pressure Boundaries, Late Flow Period....

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[2]. Carvalho, R.S., and Rosa, A.J., "A Mathematical Model for Pressure Evaluation in an infinite-Conductivity Horizontal well", SPE Formation Evaluation Vol.4 (4): pp.559-566. SPE 15967-PA. doi:10.2118/15967-PA., December,1989.
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Abstract: Studies have been done on the aspect ratio effect on natural convection turbulence using standard k-ε model but further studies showed thatk-ω SST model performed better than both k-ε and k-ω model in the whole enclosure. Thus, there was need to do a numerical study on the natural convection fluid flow in a rectangular enclosure full of air using SST k-ω model. The left vertical wall of the enclosure was maintained at a steady high temperature Th of 323K while the right wall at a steady cool temperature Tc of 303K with the remaining walls adiabatic. Time-averaged energy, momentum and continuity equations with the two equation SST k-omega turbulence model were used to generate isotherms, streamlines and velocity magnitudes for different aspect ratios of the enclosure so as to be able to investigate effect of aspect ratio on turbulence. It was shown that as the aspect ratio of

Key terms Convection: is heat transfer through movement of the heated sections of a fluid....

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[3]. Awuor, K. O. (2013). Simulating Natural Turbulent Convection Fluid Flow in an Enclosure the Two-Equation Turbulent Models (Doctoral dissertation).
[4]. Awuor, K. O., & Gicheru, M. G. M. (2017). Numerical simulation of natural convection in rectangular enclosures. International Journal for Innovative Research in Multidisciplinary Field 3(7) pp. 306-313
[5]. Aydin, O.Ünal, A.&Ayhan, T. (1999). Natural convection in rectangular enclosures heated from one side and cooled from the ceiling. International journal of heat and mass transfer, 42(13),.