Archive issue - vol.9, No.2



   No.   Author(s) - Title
Pages

   1.
 

  -- 65th Anniversary of William A. Bullough, Member of the IJAME Editorial Board
 

209-210
 

   2.
 

  -- 80th Anniversary of Zinoviy Pinkhusovich Shul'man
 

211-212
 

   3.
 

 M. Aberkane, A. Ouibrahim and G. Pluvinage -- Dynamic tearing of thin steel sheet
 

213-226
 

   4.
 

 F. Ahrens, T. Patterson and F. Bloom -- Mathematical modelling of web separation and dynamics on a web adhesion and drying simulator
 

227-271
 

   5.
 

 A.J. Chamkha, C. Bercea and I. Pop -- Free convection from a vertical cylinder embedded in a porous medium filled with cold water
 

273-283
 

   6.
 

 E. Feldsztein, M. Jenek and R. Maruda -- Modeling of heat change rules in plate bearings
 

285-292
 

   7.
 

 S.K. Ghosh and I. Pop -- Hall effects on MHD plasma Couette flow in a rotating environment
 

293-305
 

   8.
 

 S.-Ch. Hsieh, J.-H. Chen and A.-Ch. Lee -- The steady-state response analysis of flexible-coupling-rotor system
 

307-324
 

   9.
 

 R. Kandasamy -- Effects of chemical reaction, heat and mass transfer on nonlinear boundary layer flow with heat source, thermal diffusion in the presence of suction
 

325-332
 

   10.
 

 M. Maækiewicz -- Calculation of geometric properties of open cross sections of thin-walled beams
 

333-349
 

   11.
 

 K. Magnucki and P. Stasiewicz -- Elastic bending of an isotropic porous beam
 

351-360
 

   12.
 

 M.C. Manna -- A new high-precision triangular plate element
 

361-382
 

   13.
 

 M. Massoudi and N.K. Anand -- A theoretical study of heat transfer to flowing granular materials
 

383-398
 

   14.
 

 K. Sadeghy and M. Sharifi -- Blasius flow of viscoelastic fluids: a numerical approach
 

399-411
 

   15.
 

 J. Wojnarowski and K. Mirota -- Rheological models of human blood as a non-Newtonian fluid
 

413-421
 

   16.
 

 R. Muthucumaraswamy, S. Venkatesh and P. Santhosh -- Chemical reaction on moving infinite vertical plate with variable temperature
 

423-430
 

 



3.

DYNAMIC TEARING OF THIN STEEL SHEET

M. ABERKANE and G. PLUVINAGE

Laboratoire de Fiabilité Mécanique, Université de Metz
57045 Metz cedex 01, FRANCE
e-mail: aberkane@lfm.sciences.univ-metz.fr
e-mail: pluvina@lfm.sciences.univ-metz.fr

A. OUIBRAHIM
Laboratoire d'Energétique Mécanique et Matériaux
Université de Boumerdes 35000, ALGERIA
e-mail: ouibra@wissal.dz

     This paper presents an energy analysis during dynamic tearing tests of thin steel sheet. A Charpy test device and an original experimental method are employed. The dynamic fracture toughness at initiation R0,dyn and the dynamic tearing modulus Tdyn are obtained. For comparison, static trousers tearing tests are conducted, on the same material, in order to study the influence loading rate (V) on the essential work of fracture 'Gamma'e (calculated from Mai and Cotterell (1984)). We have shown that by varying the loading rate from 1mm/min to 300 mm/min, the essential work of fracture 'Gamma'e decreases slowly with the logarithm of the loading rate V. A significant drop in the dynamic fracture toughness compared to static one is observed, while making a comparison between R0,dyn and 'Gamma'e (1mm/min) due to the increase in the yield stress with loading rate.

Key words:

ductile tearing, trousers test, essential work of fracture, Charpy test device, petalling.

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4.

MATHEMATICAL MODELLING OF WEB SEPARATION AND DYNAMICS ON A WEB ADHESION AND DRYING SIMULATOR

F. AHRENS and T. PATTERSON

Institute of Paper Science and Technology of the Georgia Institute of Technology
500 10th St., N.W., Atlanta, GA 30318, USA

F. BLOOM
Department of Mathematical Sciences
Northern Illinois University, DeKalb, IL 60115, USA
e-mail: bloom@math.niu.edu

     A mathematical model is presented of web peeling and transfer in a short open draw of the type present in many modern paper machines. Analysis of the model is shown to lead to results from which the work of adhesion may be computed; these results are compared with experimental data obtained from a Web Adhesion and Drying Simulator.

Key words:

work of adhesion, work of separation, web peel, web transfer, cohesion, web picking.

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5.

FREE CONVECTION FROM A VERTICAL CYLINDER EMBEDDED IN A POROUS MEDIUM FILLED WITH COLD WATER

A.J. CHAMKHA

Production Engineering Department
The Public Authority for Applied Education and Training
Shuweikh, 70654, KUWAIT

C. BERCEA and I. POP
Faculty of Mathematics, University of Cluj
R-3400 Cluj, CP 253, ROMANIA

     A free convection boundary layer flow along a heated vertical cylinder embedded in a porous medium saturated with pure or saline water at low temperatures, up to 20oC, is considered. The boundary layer analysis is formulated in terms of Darcy's law and a new density equation of state, which is of very high accuracy and of simple form, is postulated. Numerical solutions are presented and the flow field characteristics are analysed in detail for both cases of downward and upward flows. A very good agreement between the present results and those reported for particular situations was found.

Key words:

free convection, vertical cylinder, porous medium, pure or saline water at low temperatures.

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6.

MODELING OF HEAT CHANGE RULES IN PLATE BEARINGS

E. FELDSZTEIN, M. JENEK and R. MARUDA

Mechanical Faculty, University of Zielona Góra
ul. Szafrana 4, 65-246 Zielona Góra, POLAND
e-mail: E.Feldsztein@ibmp.uz.zgora.pl

     In the paper an algorithm of temperature calculation in plate bearings during their work is described. The results of temperature's level calculation in bearings for different conditions of their work using the proposed model and FEM model are given as well as the results of an experimental check on heat bearing work conditions. The differences between results of calculation and experiment are insignificant.

Key words:

temperature calculation, plate bearing, FEM.

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7.

HALL EFFECTS ON MHD PLASMA COUETTE FLOW IN A ROTATING ENVIRONMENT

S.K. GHOSH

Department of Mathematics, Narajole Raj College
P.O.: Narajole, Dist. - Midnapore (West), West Bengal, INDIA
e-mail: g_swapan@rediffmail.com

I. POP
Faculty of Mathematics, University of Cluj
R - 3400 Cluj, CP 253, ROMANIA
e-mail: popi@math.ubbcluj.ro

     The Magnetohydrodynamic (MHD) plasma Couette flow in a rotating frame of reference subject to the Hall current is studied. This problem is confined to a startup process, which deals with an impulsive start of the moving plate as well as an accelerated start of the moving plate. The solution is obtained by employing the Laplace inversion method. An asymptotic behavior of the solution is analysed for small as well as large time T to gain the physical insight into the flow pattern. As a consequence of the physical situation of interest the fully ionized neutral plasma interacts with the frictional layer when it starts in motion. The dimensionless velocity profiles are depicted graphically and the shear stresses are presented in tables.

Key words:

Hall current, Coriolis force, viscous layer, neutral plasma, Rayleigh layer.

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8.

THE STEADY-STATE RESPONSE ANALYSIS OF FLEXIBLE-COUPLING-ROTOR SYSTEMS

Sheng-Chung HSIEH and An-Chen LEE

Department of Mechanical Engineering, National Chiao Tung University
1001 Ta Hsueh Road, Hsinchu 30049, TAIWAN, R.O.C.
e-mail: aclee@cc.nctu.edu.tw

Juhn-Horng CHEN
Department of Mechanical Engineering
Chung Hua University
TAIWAN, R.O.C.

     In this paper, a modeling procedure is presented to deal with the steady-state analysis of rotor systems with rubber cushion-type flexible couplings. The rubber cushion-type flexible coupling was modeled by an equivalent spring and the effect of misalignment was investigated. Moreover, we introduce the flexible coupling model in combination with the FEM model of rotating shafts to develop a complete formulation of a coupling-rotor system. Finally, to illustrate the effects of the coupling misalignments on the dynamic behavior of the system, numerical examples of this coupling-rotor system are presented.

Key words:

rubber cushion, flexible coupling, misalignment, rotor.

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9.

EFFECTS OF CHEMICAL REACTION, HEAT AND MASS TRANSFER ON NONLINEAR BOUNDARY LAYER FLOW WITH HEAT SOURCE, THERMAL DIFFUSION IN THE PRESENCE OF SUCTION

R. KANDASAMY

Department of Mathematics
Institute of Road and Transport Technology
Erode - 638 316, INDIA
e-mail: kandan_kkk@yahoo.com

     The problem concerns a nonlinear laminar boundary layer, chemical reaction, heat and mass transfer flow of an incompressible and viscous fluid past a continuously moving infinite vertical porous plate in the presence of suction under the influence of heat source and thermal diffusion. The similarity transformation has been utilized to convert the governing nonlinear partial differential equations into nonlinear ordinary differential equations and then the numerical solution to the problem is given using the Gill method. The analysis of this results obtained shows that the flow field is influenced appreciably by the presence of suction at the surface, chemical reaction and magnetic effects.

Key words:

chemical reaction, heat and mass transfer, thermal diffusion, incompressible fluid and heat source.

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10.

CALCULATION OF GEOMETRIC PROPERTIES OF OPEN CROSS SECTIONS OF THIN-WALLED BEAMS

M. MAÆKIEWICZ

Institute of Applied Mechanics, Poznañ University of Technology
ul. Piotrowo 3, 60-965 Poznañ, POLAND

     The work is devoted to an arbitrary open cross-section of a thin-walled beam. The shape of the cross-section is described with parametric curves, whereas the thickness is given as one parameter function.

Key words:

open cross-section, thin-walled beam, warping function, Bézier cubic curve, geometric continuity.

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11.

ELASTIC BENDING OF AN ISOTROPIC POROUS BEAM

K. MAGNUCKIab and P. STASIEWICZa

a Institute of Applied Mechanics, Poznañ University of Technology
ul. Piotrowo 3, 60-965 Poznañ, POLAND

b Institute of Rail Vehicles "TABOR"
ul. Warszawska 181, 61-055 Poznañ, POLAND
e-mail: Krzysztof.Magnucki@put.poznan.pl

     The subject of this paper is an isotropic porous beam with a rectangular cross section. Mechanical properties of the isotropic porous material vary across the depth of the beam. A nonlinear hypothesis of deformation of a plane cross section of this beam is described. The system of differential equations and boundary conditions of the problem is derived on the basis of the principle of minimum potential energy. A numerical analysis for simply supported beams under uniformly distributed load is made. A comparative analysis with the use of FEM and the COSMOS/M system is presented.

Key words:

porous beams, cellular material, shear deformation, displacement.

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12.

A NEW HIGH-PRECISION TRIANGULAR PLATE ELEMENT

M.C. MANNA

Bengal Engineering College (Deemed University)
P.O. - Botanic Garden, Howrah - 711 103, West Bengal, INDIA
e-mail: mcmbecdu@lycos.com

     This paper deals with the development of a new triangular finite element for bending analysis of isotropic rectangular plates by an explicit stiffness matrix. The first order shear deformation theory (FOSDT) is used to include the effect of transverse shear deformation. The element has eighteen nodes on the sides and six internal nodes. The geometry of the element is expressed by three linear shape functions of area coordinates. The formulation is displacement type and the use of area coordinates makes the shape functions for field variables to be expressed explicitly. No numerical integration is required to get the element stiffness matrix. The element has fifty-one degrees of freedom, which can be reduced to thirty-nine degrees of freedom by a standard static condensation of the degrees of freedom associated with the internal nodes. An interesting feature of the element is that it is not prone to shear locking. Numerical examples are presented to show the accuracy and convergence characteristics of the element.

Key words:

explicit stiffness matrix, FOSDT, static condensation, shear locking, convergence characteristic.

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13.
Dedicated to Dr. Jack Halow

A THEORETICAL STUDY OF HEAT TRANSFER TO FLOWING GRANULAR MATERIALS

M. MASSOUDI

U.S. Department of Energy, National Energy Technology Laboratory
P.O. Box 10940, Pittsburgh, PA 15236, USA
e-mail: Massoudi@netl.doe.gov

N.K. ANAND
Department of Mechanical Engineering, Texas A&M University
College Station, Texas 77843, USA

     The mechanics of flowing granular materials such as coal, sand, agricultural products, fertilizers, dry chemicals, metal ores, etc., and their flow characteristics have received considerable attention in recent years. In a number of instances these materials are also heated prior to processing or cooled after processing. In this paper, the governing equations for the flow of granular materials, taking into account the heat transfer mechanism are derived using a continuum model proposed by Rajagopal and Massoudi (1990). For a fully developed flow down a heated inclined plane, the governing equations reduce to a system of non-linear ordinary differential equations for the case where the material properties are assumed to be constants. The boundary value problem is solved numerically and the results are presented for the volume fraction, velocity, and temperature profiles.

Key words:

granular materials, convective heat transfer, inclined fully developed flow, continuum mechanics.

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14.

BLASIUS FLOW OF VISCOELASTIC FLUIDS: A NUMERICAL APPROACH

K. SADEGHY and M. SHARIFI

Faculty of Engineering, Department of Mechanical Engineering
University of Tehran
P.O. Box: 11365-4563, Tehran, IRAN
e-mail: sadeghy@chamran.ut.ac.ir

     The effects of a fluid elasticity on the characteristics of a boundary layer in a Blasius flow are investigated for a second-grade fluid, and also for a Maxwell fluid. Boundary layer approximations are used to simplify the equations of motion which are finally reduced to a single ODE using the concept of similarity solution. For the second-grade fluid, it is found that the number of boundary conditions should be augmented to match the order of the governing equation. A combination of finite difference and shooting methods are used to solve the governing equations. Results are presented for velocity profiles, boundary layer thickness, and skin friction coefficient in terms of the local Deborah number. An overshoot in velocity profiles is predicted for a second-grade fluid but not for a Maxwell fluid. The boundary layer is predicted to become thinner for the second-grade fluid but thicker for the Maxwell fluid, the higher the Deborah number. By an increase in the level of fluid elasticity, a drop in wall skin friction is predicted for the second-order fluid but not for the Maxwell fluid.

Key words:

Blasius flow, second-grade fluid, Maxwell fluid, finite difference, shooting method.

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15.

RHEOLOGICAL MODELS OF HUMAN BLOOD AS A NON-NEWTONIAN FLUID

J. WOJNAROWSKI

Silesian Technical University
E-mail: Wojnarowski@rmt4.kmt.polsl.gliwice.pl

K. MIROTA
University of Bielsko-Biala
E-mail: kmirota@ath.bielsko.pl

     One of the most important problems of model hemodynamics is the descriptions of the rheological properties of the flowing blood. In this work, two basic classes of a hemorheology models have been analysed. The first one considers human blood as a non-Newtonian and time-independent fluid. However, the dynamical formation of its time-dependent collective structure leads to a viscoelastic and tixotropic blood response. In consequence, this study presents a second class of hemorheology model, considering blood as a fluid thinning and thickening with time.

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16. Brief note

CHEMICAL REACTION ON MOVING INFINITE VERTICAL PLATE WITH VARIABLE TEMPERATURE

R. MUTHUCUMARASWAMY

Department of Information Technology, Sri Venkateswara College of Engineering
Pennalur, Sriperumbudur 602 105, INDIA
e-mail: msamy@svce.ac.in

S. VENKATESH and P. SANTHOSH
Department of Chemical Engineering
Sri Venkateswara College of Engineering, Pennalur
Sriperumbudur 602 105, INDIA

     An exact solution to the problem of flow past an impulsively started infinite vertical plate in the presence of variable temperature and mass diffusion is presented here, taking into account the homogeneous chemical reaction of first-order. The dimensionless governing equations are solved using the Laplace-transform technique and the solutions are valid only at a lower time level. The velocity, temperature and concentration profiles are shown in graphs. It is observed that due to the presence of a first order chemical reaction, the velocity as well as concentration decreases with of the increasing of the chemical reaction parameter.

Key words:

vertical plate, heat and mass transfer, chemical reaction, exact.

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