Conference Papers

Permanent URI for this collectionhttps://idr.nitk.ac.in/handle/123456789/28506

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Author: search.filters.author.Hegde, S.M.

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    On multiplicative labelings of a graph
    (2008) Hegde, S.M.
    A (p, q)-graph G is said to be multiplicative if its vertices can be assigned distinct positive integers so that the values of the edges, obtained as the products of the numbers assigned to their end vertices are all distinct. Such an assignment is called a multiplicative labeling of G. A multiplicative labeling is said to be (a, r)-geometric if the values of the edges, can be arranged as a geometric progression a, ar, ar2,..., arq-1. In this paper we prove that some well known classes of graphs are geometric for certain values of a,r and also initiate a study on the structure of finite (a,r)-geometric graphs.
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    The structural properties of zero divisor difference digraphs
    (American Institute of Physics Inc. subs@aip.org, 2016) Hegde, S.M.; Vasudeva, n.
    A graph G = (V, E) is a proper zero-divisor difference graph if and only if there is a positive integer n and a set S ⊂ Zn, the set of all positive zero-divisors of the ring Zn such that V = S and (x, y) E if and only if y-x ≈ w(mod n) for some w V. If S = Zn, then the graph is called a zero-divisor difference graph. In this paper we discuss the characteristics and structural properties of zero-divisor difference graphs. i.e. We prove the results on connectedness, degree, planarity, isomorphism etc. of zero-divisor difference graphs depending on the value of n. © 2016 Author(s).
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    CFD analysis of turboprop engine oil cooler duct for best rate of climb condition
    (Institute of Physics Publishing michael.roberts@iop.org, 2016) Kalia, S.; Ca, V.; Hegde, S.M.
    Turboprop engines are widely used in commuter category airplanes. Aircraft Design bureaus routinely conduct the flight tests to confirm the performance of the system. The lubrication system of the engine is designed to provide a constant supply of clean lubrication oil to the engine bearings, the reduction gears, the torque-meter, the propeller and the accessory gearbox. The oil lubricates, cools and also conducts foreign material to the oil filter where it is removed from further circulation. Thus a means of cooling the engine oil must be provided and a suitable oil cooler (OC) and ducting system was selected and designed for this purpose. In this context, it is relevant to study and analyse behaviour of the engine oil cooler system before commencing actual flight tests. In this paper, the performance of the oil cooler duct with twin flush NACA inlet housed inside the nacelle has been studied for aircraft best rate of climb (ROC) condition using RANS based SST K-omega model by commercial software ANSYS Fluent 13.0. From the CFD analysis results, it is found that the mass flow rate captured and pressure drop across the oil cooler for the best ROC condition is meeting the oil cooler manufacturer requirements thus, the engine oil temperature is maintained within prescribed limits. © Published under licence by IOP Publishing Ltd.