International Journal of Engineering & Mathematical Sciences
  (Print) 2319 - 4537
(Online) 2319 - 4545
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Volume 15 (2019)
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   International Journal of Engineering & Mathematical Sciences
IJEMS, Volume 9 (2016), Issue : 1 (January - June), 2016    Collapse all | Expand all
1. Optimal Scheduling With Inspection Unit and Stochastic Processing Time
Author : Pradeep Kashyap
Keyword : Stochastic Process, distribution method

Volume: 9,Issue: 1,PP: 01 - 08,Year:(2016)
The present paper deals with the scheduling of n items on two machines in series with the provision of final inspection of finished items. The processing time of the items in each machine is distributed exponentially with a known mean. An algorithm has been developed to schedule n items in such a manner that the expected total completion time is minimum. A numerical problem has been solved to make the proposed algorithm clearer.
2. Laminar Boundary Layer Flow of a Nanofluid over a Flat Plate Placed In a Magnetic Field
Author : Preeti Agarwala and R. Khare
Keyword : Nanofluids, MHD boundary layer, flat plate, Runge-Kutta Method

Volume: 9,Issue:1,PP: 09 - 17,Year:(2016)
Nanofluids have the potential to enhance the thermal conductivity and convective properties over the properties of base fluids .Industries such as electronics, medical, food and manufacturing sectors would benefit from such improved heat transfer. The objective of the present study is to investigate the boundary layer flow of a nanofluid over a flat plate placed in a magnetic field. A similarity analysis is performed to reduce the governing equations of continuity and momentum into nonlinear differential equations which are subsequently solved numerically. The numerical value for thermal conductivity, kinematic viscosity, heat capacity, density, and thermal diffusivity for different types of nanofluids with respect to different values of volume fraction are evaluated. The results are displayed graphically to show the interesting aspects of nanofluids.
3. Suborbital Graphs and their Properties for ordered Triples in An (n = 5, 6, 7) Through Rank and Subdegree Determination
Author : Cedric W. Ndarinyo, Vincent N. Marani, Lucy W. Chikamai & Mulambula Andanje
Keyword : Rank, subdegrees, ordered triple of an alternating group, suborbital graphs

Volume:9,Issue:1,PP: 18 - 23,Year:(2016)
In this paper, through computation of the rank and subdegrees of alternating group 􀜣􀝊 (􀝊=5,6,7) on ordered triples we construct the suborbital graphs corresponding to the suborbits of these triples. When 􀜣􀝊(􀝊 ≥ 5) acts on ordered pairs the suborbital graphs corresponding to the non-trivial suborbits are found to be disconnected. Further, we investigate properties of the suborbital graphs constructed.
4. Estimation of Basic Reproduction Number in a Deterministic Model: A Case of Malaria and Rotavirus Co-Infection
Author : Drinold Mbete, George Lawi, Kennedy Nyongesa, Frankline Tireito & Austine Mulama
Keyword : Basic Reproduction number, MCMC, Next generation Matrix, parameter estimates, Rsoftware.

Deterministic models have been used to describe dynamics of a lot of diseases. Most importantly to estimate the basic reproduction number R0by using disease parameter or estimates. It is not realistic to consider the basic reproduction number as a constant since it is de-pendent on parameters which vary. In this paper, we estimate the parameter estimates of the R0as a random variable by first developing and analyzing a deterministic model for transmission of malaria and rotavirus. An expression of Rmris derived using the next generationmatrix method after which we compute the probability distribution ofRmr using Monte Carlo Markov Chain (MCMC) simulation approach and R software. Numerical simulation obtained by WINBUGS shows that the probability distribution is a realistic way of describing the uncertainties involved in computing the basic reproduction number of malaria and rotavirus and is also useful in describing the effects of parameter changes in deterministic model. These parameter estimates along with the information on population susceptibility to infection help to inform public health officer to monitor on epidemiological parameters involved.
5. Pure Implicit Finite Difference Solution of a Parabolic Advection -Diffusion Equation with constant Coefficients
Author : George Ochieng Ogongo, Omolo Ongati, Oduor Okoya M. E.
Keyword : Implicit Finite Difference Scheme, Spectral Radius, Stability Analysis

Volume:9,Issue:1,PP: 36-45,Year:(2016)
The advection-diffusion equation of the form: =  +  were widely used for modeling and simulation of various complex phenomena in science and engineering. It was not easy to solve these equations analytically. Efficient numerical algorithm has since become important to numerical simulation involving the equation and their stability analysis. The advection term  describes how the substance is carried along by the fluid. The diffusion term  describes the spreading of the substance due to random molecular collision or due to vortocity or turbulence. Analytic techniques so far used were limited in capturing the complex boundary shapes generated by the equation.The objective of this study was therefore to numerically solve this equation using a finite difference method when the advection co-efficient  = 3 and the diffusion co-efficient  = 1 and to analyse the stability of the resulting numerical scheme. We have discredited the advection-diffusion equation using the finite difference methods of Pure Implicit Scheme which was stable on the condition of and ℎ (mesh ratio and distance).The results obtained from this study (using Matlab) can be interpreted easily and may be used in the analysis and disposal of nuclear waste and transportation of nutrients in trees.
6. Evaluating the Performance of Promising Commercial Bio-Fertilizers on Soybean Production in Bungoma County, Western Kenya using one farm one replicate design
Author : Collins Otieno Majengo, John Robert Okalebo, Wilson Ngetich
Keyword : Mixed linear model; One farm one replicate design; Standard error of difference

The study was conducted to compare the performance of promising commercial bio-fertilizers that have been evaluated under the green-house conditions at TSBF-CIAT, in farmers’ conditions through the use of promiscuous soybean variety (SB19). The trials were laid out on small scale farms in Bungoma County, western Kenya. The experiment was established in 50 farms during the long rains (LR) and repeated in 100 farms during the short rains (SR) of 2010; laid out in multi-locational one farm one replicate design. Treatments were not replicated within each field. A promiscuous medium-maturity soybean variety TGx1740-2E (SB 19) was inoculated with Legumefix (Rhizobia) or/and Rhizatech (mycorrhizae) inoculants. The mycorrhizae inoculum was applied to the soil in the seed furrows at the recommended rate of 30 kg ha-1. Nodulation was examined at mid-podding (50% podding) by carefully uprooting all plants with their entire root system from a 1 m2 section in each plot. Nodules were counted and weighed; the root and shoot parts separated, and fresh and dry weights assessed. Analysis of variance was conducted to determine the effects of (and interactions between) the two inoculants on plant parameters using a mixed linear model (MIXED procedure, SAS). Rhizobial inoculation resulted in significantly (p<0.001) higher nodule biomass compared to the control across many farms during both seasons. Mycorrhizal inoculation had no significant effect (p>0.05) on nodulation when applied solely, but co-inoculation of Rhizobia and mycorrhizae increased nodule biomass further by 0.09 g plant-1. There was a significant difference (p<0.001) in terms of biomass yield between treatments during both seasons across many farms. Rhizobial inoculation resulted in significantly (p<0.001) higher grain yields during both seasons. Statistical analysis showed that soil factors (Available P and Total N) significantly (p<0.001) affected soybean grain yields during both seasons. It is concluded from this study that Legumefix inoculant (Rhizobial) was more effective compared to Rhizatech inoculant (mycorrhizae) under local field conditions in Bungoma at moderate soil N and P. Co-inoculation of Bradyrhizobium with mycorrhizae did not result in increased nodulation or soybean yield compared to sole rhizobia inoculation. However, continued evaluation and dissemination of results to smallholder farmers is recommended
7. Fractional Integral Operators Involving Lauricella Functions of Matrix Variables
Author : Dr. Poonam Kumari
Keyword : Fractional Integral Operators, Lauricella Functions, Matrix Arguments

Volume:9,Issue:1,PP: 56-60,Year:(2016)
In this paper we introduce two new fractional integration operators involving Lauricella hypergeometric functions of many matrix variables. Three theorems on these operators are established. The first two theorems give expressions for the matrix transform of these operators and the third theorem states the property of fractional integration by parts. It is expected that the solution of certain problems connected with probability and statistics, linear differential equations, integral equations and the integral representations of one or more variables can be obtained by the application of these operators.
8. The Study of Acoustic and Thermodynamic Properties of Salicylaldehyde in Acetone Ultrasonically
Author : Reetu Gupta and S. S. Yadav
Keyword : Ultrasonic interferometer, Ostwald Viscometer, Pyknometer, Liquid salicylaldehyde, (E-merek) acetone (B.D.S.)

Volume:9,Issue:1,PP: 61-63,Year:(2016)
Density, viscosity and sound speed of salicyldehyde in acetone solution have been measured at 30oc temperature. These data have been use to calculate Isentropic compressibility molar volume, specific acoustic impedance intermolecular free length and Available volume. These parameters are further used to evaluate the solute- solute and solute- solvent interactions.
9. Dusty Viscous Fluid through Porous Medium over a Moving Infinite Vertical Plate with Heat Source and Radiation
Author : Yogendra Kumar Sagar and Dr Rajeev Jha
Keyword : radiation, heat flux, porous medium, MHD, Heat source

Aim of this paper is investigate to effects of radiation and heat source on MHD free convection flow of viscous fluid through porous medium over an impulsively started infinite vertical plate with uniform heat flux is studied here. radiation and heat source effects are taken into account and the dimensionless governing equation are solved using the finite difference technique. The numerical results are presented graphically for different values of the parameters entering into the problem on the velocity profiles of fluid and particles of dust, temperature and concentration profile and skin friction.
10. Acoustical Study of Binary mixture of Isoquinoline and Tetrahydrofurane at 40C temperatures
Author : Shalini Pandey
Keyword : Ultrasonic Velocity, Acoustic Parameters Binary Mixtures

Molecular interaction studies using ultrasonic technique in the binary liquid mixture of Isoquinoline with Tetrahydrofurane has been carried out at 40 Cusing the measured values of ultrasonic velocity, density and viscosity acoustic parameters and their excess parameter’s the nature and strength of the interactions in these binary systems are discussed.
11. Temperature Dependent Electronic Polarisability of Alkali Halides
Author : Amit Pandey
Keyword : Electronic Polarisability, Alkali Halides

We have also discussed the relationships between structural and melting parameters of ionic solids. It has been found that the nearest neighbour inter ionic seprations in alkali halide malts are significantly less than the corresponding values in crystals. A relationship between melting parameters.
12. Spectral and Magnetic Moment Studies of Mixed Ligand Complexes of Hydroxamic Acids with Potassium Hexathiocyanato Chromium (III) Tetra Hydrate
Author : Babita Agrawal and Ajay Agrawal
Keyword : hydroxamic acid, Spectral and Magnetic Moment

Some hydroxamic acids e.g., [L1=3, 4, 5-trimethoxy benzohydroxamic acids (TMBHA), L2=N-phenyl- 3, 4, 5-trimethoxy benzohydroxamic acid (NPTMBHA), L3=3, 4-dimethoxy benzo hydroxamic acid (DMBHA) and L4=N-phenyl-3, 4-dimethoxy benzohydroxamic acid (NPDMBHA) prepared and reacted with L’=Potassium hexathiocynato chromium (III) tetra hydrate K3[Cr(SCN)6]4H2O. The mixed ligand complexes of hydroxamic acids characterized with the help of repeated melting point identification, by I.R. studies, magnetic moment, molar conductance and by elemental analysis (C, H and N). The geometry of complexes were found to be octahedral. On the basis of these facts the structure of the metal complexes found to be K2[M(L’)4(L1)], K[M(L’)2(L2)2], K[M(L’)2(L3)2] and K[M(L’)2(L4)2].
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