iosr-Jm   Volume-11 ~ Issue-3 ~ May-June 2015

Abstract:The two-dimensional magnetohydrodynamic boundary layer flow of non-Newtonian power-law nanofluids past a porous stretching sheet with linear hydrodynamic slip boundary condition in the presence of chemical reaction and temperature dependent slip boundary condition. Using the similarity transformations, the governing equations have been transformed into a system of ordinary differential equations. These differential equations are highly nonlinear which cannot be solved analytically. Therefore, bvp4c MATLAB solver has been used for solving it. Numerical results are obtained for the skin-friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, temperature and Concentration profiles for different values of the governing parameters, namely, the power-law index parameter, Lewis number, Prandtl number, thermophoresis parameter, Brownian motion parameter, magnetic field parameter, linear momentum slip parameter, permeability parameter, temperature dependent slip parameter and chemical reaction parameter.

Keywords: Non-Newtonian nanofluids, MHD flow, Hydrodynamic slip, linear group transformations, porous medium, temperature dependent slip flow, chemical reaction.

[1]. Choi, S., Enhancing thermal conductivity of fluids with nanoparticles, in: D.A. Siginer, H.P.
[2]. Masuda, H., Ebata, A,Teramae, K., Hishinuma, N., (1993), Alteration of thermal conductivity and viscosity of liquid by dispersing
ultra-fine particles, NetsuBussei (Japan), Vol.7, No.4, pp.227–233.
[3]. Pearson, J. R. A., Tardy, P. M. J, (2002), Models for flow of non-Newtonian and complex fluids through porous media, J Non
Newton Fluid Mech, Vol.102, pp.447–473.
[4]. Ellahi R, Afza, S, (2009), Effects of variable viscosity in a third grade fluid with porous medium: an analytic solution, Commun
Nonlinear Sci Numer Simul., Vol.14(5), pp.2056–2072.
[5]. Ellahi, R, (2009), Effects of the slip boundary condition on non- Newtonian flows in a channel, Commun Nonlinear Sci Numer
Simul., Vol.144, pp.1377–1384.
[6]. Rama Subba Reddy Gorla and Mahesh Kumari, (2012), Mixed Convection Flow of a Non-Newtonian Nanofluid Over a Non-
Linearly Stretching Sheet, Journal of Nanofluids, Vol. 1, pp. 186–195.

Abstract: This study was to ascertain if gas flaring mediate upon gas production and climate change. This became necessary owing to the problems of climate change that has become very visible owing to crude oil drilling production in Nigeria and the south-south region of the country in particular. These climate changes ranges from high rainfall variability, temperature change, degradation of forest and forest resources as well as the aquatic habitat. This climate change was also observed in high volume of rainfall and the resultant flooding in the Niger delta region of Nigeria. These occurrences have caused several loss of lives and properties, hence the need for this study to ascertain if gas flaring mediates upon gas production and climate change in Nigeria.

[1]. Global Gas Flaring Reduction Initiative: Report No.1: Report on Consultations with Stakeholders, World Bank Group in collaboration with the Government of Norway, (c.2002)
[2]. Onyenechere, E.C (2010) Climate Change and Spatial Planning Concerns in Nigeria: Remedial Measures for More Effective Response, J Hum Ecol, 32 (3): 137-148 (2010
[3]. Albert, J.M. (2008). Mediation analysis via potential outcomes models. Statistics in Medicine, 27, 1282-1304.
[4]. Baron, R. M., & Kenny, D. A. (1986). The moderator-mediator variable distinction in social psychological research: Conceptual, strategic and statistical considerations. Journal of Personality and Social Psychology, 51, 1173-1182
[5]. Bollen, K. A., & Stine, R. (1990). Direct and indirect effects: Classical and bootstrap estimates of variability. Sociological Methodology, 20, 115-140.

Abstract: The aim of the present paper is to find the design variables which influence the tyre profile design. The scope of the present work is to parameterize these design variables so that we can easily optimize tyre profile. The relation between derivative of an arc length and radius of curvature is derived to find arc length of tyre and radius of curvatures were compared.

Keywords: Derivative of arc length, radius of curvature, tyre

[1]. Differential Calculus by Shanti Narayan, S. Chand
[2]. Automobile Tyres by L.J.K. Setright, Chapman and Hall, 1972
[3]. www.wikipedia.org
[4]. www.google.com
[5]. www.apollotyres.com

Abstract:Observing the environment and recoganizing patterns for the purpose of decision making are fundamental to any scientific enquiry. Pattern recognition is a scientific discipline so much so that it enables perception in machines and also it has applications in diverse technology areas. Among the scientific community, statistical pattern recognition has received considerable attention in recent years. The statistical pattern recognition challenges are mostly approached by Hidden Markov Models (HMMs). A Hidden Markov Model (HMM) is a probabilistic mathematical discrete structure with the state emission probabilities apart from consisting the components of a probabilistic finite state automaton (PFA). Over the years, researches have been carried out to study the relations between HMM and PFA. Probabilistic finite state automata are mathematical models constructed to generate distributions over a set of strings.

[1]. Paz. (1971). Introduction to Probabilistic Automata, New York: Academic Press.
[2]. L. Rabiner, A tutorial on hidden markov models and selected applications in speech recognition, Proc. IEEE. vol. 77,
(1989) pp. 257-286.
[3]. P. Dupont, F. Denis, and Y. Esposito, Links between probabilistic automata and hidden markov models: probability distributions,
learning models and induction algorithms, Pattern Recognition, vol. 38, (2004) pp. 1349- 1371.
[4]. R. Durbin, S. R. Eddy, A. Krogh and G. Mitchison. (1998). Biological sequence analysis: probabilistic models of proteins and nucleic
acids, Cambridge, UK: Cambridge University Press.