Archive:: American Journal of Applied Mathematics:: Science Publishing Group

Volume 2, Issue 6, December 2014

Effects of Viscous Dissipation and Heat Generation on Magneto Hydrodynamics Natural Convection Flow along a Vertical Wavy Surface

Sujon Nath, Nazma Parveen

Issue: Volume 2, Issue 6, December 2014

Pages: 197-203

Received: 13 November 2014

Accepted: 24 November 2014

Published: 27 November 2014

DOI: 10.11648/j.ajam.20140206.11

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Abstract: In this paper we consider the combined effects of viscous dissipation and heat generation on MHD natural convection flow along a vertical wavy surface are studied. The governing Navier-Stokes equations with associated boundary conditions are transformed into non-dimensional boundary layer equations using appropriate variables. Implicit finite diffe... Show More

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Cyclical Surfaces Created by Helix on Torus

Tatiana Olejníková

Issue: Volume 2, Issue 6, December 2014

Pages: 204-208

Received: 25 November 2014

Accepted: 6 December 2014

Published: 17 December 2014

DOI: 10.11648/j.ajam.20140206.12

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Abstract: This paper describes method of modelling of cyclical surfaces created by helix on the torus . The axis of the cyclical surface ´ is the helix s as a trajectory of movement of a point composed of two motions of rotation. The circle moves together with Frenet-Serret moving trihedron along the helix s and creates the cyclical surface ´. The paper d... Show More

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A Grey Relational Analysis Based Study on Green Degree Evaluation of Urban Logistics

Lijuan Qian, Jinlin Ma, Zongbo Zhang, Daming Zhang, Kaiping Ma

Issue: Volume 2, Issue 6, December 2014

Pages: 209-213

Received: 13 November 2014

Accepted: 26 November 2014

Published: 18 December 2014

DOI: 10.11648/j.ajam.20140206.13

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Abstract: According to the urban logistics green degree’s evaluation, a weighted grey correlation analysis method based on the analytic hierarchy process is proposed to determine the weight of each index in the urban logistics green degree evaluation system, and then figure out the optimal relative degree, realizing the green degree of each urban logistics. ... Show More

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Radiative MHD Flow over a Vertical Plate with Convective Boundary Condition

Christian John Etwire, Yakubu Ibrahim Seini

Issue: Volume 2, Issue 6, December 2014

Pages: 214-220

Received: 10 December 2014

Accepted: 24 December 2014

Published: 4 January 2015

DOI: 10.11648/j.ajam.20140206.14

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Abstract: This paper investigates the effect of thermal radiation on magneto hydrodynamic (MHD) flow over a vertical plate with convective boundary conditions. The governing partial differential equations were transformed into coupled nonlinear differential equations which were solved numerically using the fourth order Runge-Kutta algorithm with a shooting m... Show More

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Numerical Experiments with the Lagrange Multiplier and Conjugate Gradient Methods (ILMCGM)

Samson Adebayo Olorunsola, Temitayo Emmanuel Olaosebikan, Kayode James Adebayo

Issue: Volume 2, Issue 6, December 2014

Pages: 221-226

Received: 21 December 2014

Accepted: 25 December 2014

Published: 6 January 2015

DOI: 10.11648/j.ajam.20140206.15

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Abstract: In this paper, we imbed Langrage Multiplier Method (LMM) in Conjugate Gradient Method (CGM), which enables Conjugate Gradient Method (CGM) to be employed for solving constrained optimization problems of either equality, inequality constraint or both. In the past, Langrage Multiplier Method has been used extensively to solve constrained optimization... Show More

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