iosr-Jm   Volume-10 ~ Issue-2 ~ Mar-Apr 2014

Abstract: The study of temperature regulation of human body has great importance to understand the physiology of the human body. Skin plays an important role to maintain the body core temperature (Tb) at 37oC. Any disturbance in the temperature regulation may cause lots of abnormality in the body. In the present paper an attempt has been made to study temperature variations of dermal region of human by changing arterial blood temperature for transient case. The temperature variations are noted at different arterial blood temperature and venous blood temperature tissue of dermal region.

Keywords: Rate of metabolism, blood mass flow rate, thermal conductivity, heat generation, finite element method

[1] W.PerlHeat and matter distribution in body tissue and determination of tissue blood flow by local clearance methods" journal of theoretical biology 2(3),1962,201-235.
[2] Perl,W. and Hirsch, R.L. ,Local blood flow in kidney tissue by heat clearance method, J. Theoret.Biol. 10(2), 1966, 251-280
[3] Cooper, T.E. and Trezek, G.J.,A Probe technique for determining the thermal conductivity of tissues, J. Heat transfer, ASME 94 , 133-140,1972,a.
[4] Cooper, J.E. and Trezek, G.T.,on the freezing of tissues, J. Heat transfer , ASME, 94,251-253,1972,b.
[5] Patterson, A.M., Measurement of temperature profiles in human Skin, S.Afr J. Sci, 72, 78-79,1976.
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Abstract: In this paper, a transportation problem is applied to determine the reduction in Transportation cost (TC) of tools which appeared to be an important component of the total cost of production . The algorithm determines the Initial Basic Feasible(IBFS) Solution of Transportation Problem (TP) to minimize the cost. The result with an elaborate illustration demonstrates that the method presented here is effective in minimizing the transportation cost.

Keywords: Transportation ,Minimization cost, maxmin penalty cost,VAM ,sources,destination

[1] Hamdy, T. Operations Research- An Introduction (Sixth Edition). Pearson Education Inc, 2002.
[2] Taha. H.A., Operations Research- Introduction, Prentice Hall of India (PVT), New Delhi, 2004.
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Abstract:Mechanically, all industrial equipments get deteriorating with time and usage and their functions decreased efficiently. In order to manage such equipments, it requires higher operating and maintenance cost, as a result of this increasing repair and maintenance cost, there is a need to replace them. However, in this paper, we attempt to determine the exact time at which the replacement of the given instrument is most economical, The data used in this paper is all about the cost of repairing 250 kva mikano generating plant which was produced by works and services department of The Polytechnic Ibadan, Adeseun Ogundoyin Campus, Eruwa. The replacement model that covers items whose maintenance cost increase with time, ignoring changes in the value of money during the years under study

[1] Ajibola, A. Desu (2012). Simplified Operation Research, Mac Graphics Printers, Ijebu-Ode, Ogun State, Nigeria.
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[4] Murthy, R. M. (1999). Linear and Non-Linear Programming, S. Chand and Company Limited, Ram Nagar, New Delhi, India.
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[6] Qazi Zameeeruddin, Vijay, K. K and Bhambri , S. K (2006), Business Mathematics, Vikas Publishing House PVT Limited, New Delhi, India.

Abstract: In this paper, we apply the differential transform method to solve some nonlinear differential equation. The nonlinear terms can be easily handled by the use of differential transform method.

Keywords: differential transform-nonlinear differential Equations.

[1] N. Guzel, M.Nurulay,Solution of Shiff Systems By using Differential Transform Method, Dunlupinar universities Fen Bilimleri Enstitusu Dergisi, 2008,49-59.
[2] J.K. Zhou, Differential transformation and its applications for electrical circuits, Huarjung University Press, Wuuhahn, China, 1986.
[3] I.H.Abdel-H.Hassan, Different applications for the differential transformation in the differential Equations, Applied mathematics and computation129,2002,183-201.
[4] A.Arikoglu,Í.Özkol,Solution of difference Equation's by using differential transform method, Applied mathematics and computation174, 2006, 1216-1228.
[5] F. Ayaz, On the two-dimensional differential transform method, Applied Mathematics and computation143, 2003, 361-374.
[6] S-Hsiang Chang , I-Ling Chang, A new algorithm for calculating one-dimensional differential transform of nonlinear functions, Applied mathematics and computation195,2008,799-808.

Abstract: In this paper we have established a theorem on generalized summability factors via quasi-β-power increasing sequence, which gives some new results and generalizes some previous known results.

Keywords: Weighted arithmetic mean summability, summability, summability factors and quasi-β-power increasing sequence. Mathematical classification : 40D15, 40F05, 40G99.

[1] BOR, H.; On two summability methods, Math. Proc. Camb. Philos Soc. 97 (1985).
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[3] BOR, H.; On local property of | , , | n k N p  -summability of factored Fourier series, J. Math. Anal. Appl., 179 (1993).
[4] BOR, H.; A study on absolute Riesz summability factors, Rend. Circ. Mat. Palcrmo, 56 (2007).
[5] BOR, H. On an application of almost increasing sequence. Math. Commun. Vol., 15 (2010).
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(1957).
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Soc. 8 (1958).

Abstract: This paper concern with transient non-homogeneousthermoelastic problem with Dirichlet's boundary condition inthin solid cylinder of isotropic material of radius a, and height h, occupying the space 0  r  a, 2 2 h  z  h , 0   2 having initial temperature f (r,, z) placed in an ambient temperature zero. The cylinder is subjected to the activity of moving heat source along circular trajectory of radius 0 r , where 0 0  r  a , around the centre of the cylinder with constant angular velocity  . Heat conduction equation containing heat generation term is solved by applying integral transform technique and Green's theorem is adopted in deducing the solution of heat conduction equation. The solution is obtained in a series form of Bessel function and trigonometric function and derived thermal stresses.

Keywards: Dirichlet's solid thin cylinder, moving heat source, thermal stresses, Green's theorem.

[1] I. N. Sneddon The use of integral transform, McGraw Hill, New York, 1972
[2] M. NecatiOzisik `Heat conduction, Second Edition, A Wiley-Interscience Publication John Wiley and Sons, inc. New-York.
[3] N. Noda, R. B. Hetnarski, Y. Tanigawa, Thermal Stresses, second edition, 2002

Abstract: In this paper we have extended some basic results of Nevanlinna theory to Matrix valued meromorphic functions.

Key words:Nevanlinna theory,Matrix valued meromorphic functions.

[1]. C. L. PRATHER and A.C.M. RAN (1987) : "Factorization of a class of mermorphic matrix valued functions", Jl. of Math. Analysis,
127,413-422.
[2]. HAYMAN W. K. (1964) : Meromorphic functions, Oxford Univ. Press, London.

Abstract: The effects of thermal radiation and heat transfer of a Maxwell fluid near a mixed convection stagnation point flow over a moving surface in the presence of MHD has been studied. The governing differential equations are transformed into a set of coupled non-linear ordinary differential equations and then solved with a numerical technique using appropriate boundary conditions for various physical parameters. The numerical solution for the governing non-linear boundary value problem is based on applying the fourth-order Runge–Kutta method coupled with the shooting technique using appropriate boundary conditions for various physical parameters. The effects of various parameters like the viscosity parameter, radiation parameter, mixed convection parameter, Deborah number, magnetic parameter and Prandtl number on the velocity and temperature profiles as well as on the local skin-friction coefficient and the local Nusselt number are presented and discussed.

Keywords: Mixed convection flow, Thermal radiation, Maxwell fluid, heat transfer, MHD, Convective condition.

[1]. Wang, S. and Tan, W. C., (2011), "Stability Analysis of Soret-Driven Double-Diffusive Convection of Maxwell Fluid in a Porous
Medium," International Journal of Heat and Fluid Flow, Vol.32, pp. 88-94.
[2]. Jamil, M. and Fetecau, C., (2010), "Helical Flows of Maxwell Fluid Between Coaxial Cylinders with Given Shear Stresses on the
Boundary," Nonlinear Analysis: Real World Applications, Vol.5, pp. 4302-4311.
[3]. Zierep, J. and Fetecau, C., (2007), "Energetic Balance for the Rayleigh-Stokes Problem of a Maxwell Fluid," International Journal
of Engineering Science, Vol.45, pp. 617-627.
[4]. Sadeghy, K., Hajibeygi, H. and Taghavi, S. M., (2006), "Stagnation-Point Flow of Upper-Convected Maxwell Fluids,"
International Journal of Non-Linear Mechanics, Vol.41, pp. 1242-1247.