Archive issue - vol.2 No.4



   No.   Author(s) - Title
Pages

   1.
 

 Takhar H.S. and Jha B.K. -- Mass transfer effects on unsteady mixed convection flow with chemical reaction
 

449-456
 

   2.
 

 Gorla R.S.R. and Kumari M. -- Combined convection in power-law fluids along a vertical wedge embedded in a porous medium
 

457-473
 

   3.
 

 Song M.S., Yang J.C. and Zhang C. -- Study on the rheological behavior of polymer melts and concentrated solutions
 

475-510
 

   4.
 

 Çarpinlioglu M.Ö. and Ozeby M. -- Influence of helical-coiled wire inserts in turbulent pipe flows
 

511-529
 

   5.
 

 Rao B.K. -- Turbulent friction factor for two-phase: air and power-law fluid flows through a horizontal tube
 

531-545
 

   6.
 

 Pekárek V. -- Atomic oscillator with spinning and orbiting electron as radiator of heat
 

547-556
 

   7.
 

 Chattopadhyay A.K. and Karmakar S. -- Non-linear analysis of flexibly supported finite turbulent flow oil journal bearings
 

557-568
 

   8.
 

 Jach K., Mroczkowski M., Sarzyński A., Swierczyński R. and Tyl J. -- 2D and 3D computer modelling of explosive formation of projectiles
 

569-595
 

   9.
 
  Brief note
  Petzov G.G. and Nikolchev G.K. -- A simplified concept of improving a die fill in forging of bevel gears
 

597-602
 

 



1.

MASS TRANSFER EFFECTS ON UNSTEADY MIXED
CONVECTION FLOW WITH CHEMICAL REACTION

H.S. TAKHAR

School of Engineering, University of Manchester
Manchester, M13 9PL, UK

B.K. JHA
Department of Mathematics, Banaras Hindu University
Varanasi-221 005, INDIA

     The effect of chemical reaction on unsteady forced and free-convection flow past an infinite vertical plate has been analysed. Analytical expressions for the velocity field, leading edge effects, and skin-friction have been obtained by using the Laplace transform technique. The effects of K (chemical reaction parameter), Sc (Schmidt number) and t (time parameter) on the velocity field, leading edge, and skin-friction have been extensively discussed.

Key words:

mixed convection flow, chemical reaction, Laplace transform, mass transfer, leading edge effect.

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2.

COMBINED CONVECTION IN POWER-LAW FLUIDS
ALONG A VERTICAL WEDGE EMBEDDED IN A POROUS MEDIUM

Rama Subba Reddy GORLA

Department of Mechanical Engineering
Cleveland State University, Cleveland
Ohio 44115, USA

Mahesh KUMARI
Department of Mathematics
Indian Institute of Science
Bangalore 560 012, INDIA

     A nonsimilar boundary layer analysis is presented for the problem of combined convection from a vertical wedge in a porous medium saturated with a power-law type non-Newtonian fluid. The transformed conservation laws are solved numerically for the case of variable surface heat flux conditions. Results for the details of the velocity and temperature fields as well as the Nusselt number have been presented. The viscosity index ranged from 0.5 to 1.5 and the wedge angle parameter ranged from 0 to 1.

Key words:

non-Newtonian fluids, combined convection, porous media, heat transfer.

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3.

STUDY ON THE RHEOLOGICAL BEHAVIOR OF POLYMER
MELTS AND CONCENTRATED SOLUTIONS

M.S. SONG, J.C. YANG, C. ZHANG

Research Institute of Polymer Materials
Beijing University of Chemical Technology
Beijing 100029, P.R.CHINA

     Based on a mutiple-entanglement model, a new relation of linear viscoelastic functions (the zero rate shear viscosity 'eta'0, the zero extensional rate viscosity 'eta'ext0, the first normal stress coefficient 'psi'100 , and the terminal relaxation time 'tau') to the molecular weight and its distribution for flexible chain polymer were formulated. The dependence of scaling of exponent of entanglement networks in the long entanglement spacing |'ypsilon' or ||'ypsilon' for testing flexible chain polymers on the primary molecular weight and the number of testing polymers was derived from the two types relaxation mechanisms. A new method for determining the |'ypsilon' and ||'ypsilon' for mono and polydipersed polymer was proposed. It shows that when Mn = 3Me to 6Me, the values of |'ypsilon' can range from 3.77 down to 3.33, their values are in a good agreement with the experimental results for different molecular weight of mono-and polydispersed polymers and different polymer species. The dependence of 'eta'0, 'psi'100, 'eta'ext0 and 'tau'T on the weight average molecular weight and its distribution was derived from the constrained multidimensional number of entanglements per polymer chain and the primary molecular weight distribution function with the statistical method.

Key words:

rheological behavior, viscoelasticity, multidimensional topography of constraint, dependence of 'eta'0 on Mw / Mn.

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4.

INFLUENCE OF HELICAL-COILED WIRE
INSERTS IN TURBULENT PIPE FLOWS

Melda Ö.ÇARPINLIOGLU, Mustafa OZBEY

Gaziantep University Faculty of Engineering
Mechanical Engineering Department
Gaziantep 27310 TURKEY

     An experimental investigation has been conducted on the influence of helical-coiled wires in turbulent pipe flows in the Reynolds number range of 30000 =< Re =< 90000. Helical coiled wires of varying diameter d, length L, pitch p, number of coils n and helix angle a were used in the study. The dimensionless insert parameters covered the ranges 13.33 =< D/d =< 26.66, 5 =< p/d =< 21.3, 50 =< L/d =< 300, 4.7 =< n =< 30 with helix angles 66.6o =< 'alpha' =< 79o. The influence of inserts was determined through the measurements of mean axial, tangential velocity profiles and static pressure profiles in the flow field. Hydrodynamic performance of inserts were expressed in terms of correlations between flow friction factor, f and non-dimensional insert parameters.

Key words:

insert, friction factor, insert dimensions.

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5.

TURBULENT FRICTION FACTOR FOR TWO-PHASE:
AIR AND POWER-LAW FLUID FLOWS THROUGH A HORIZONTAL TUBE

B.K. RAO

College of Engineering
Idaho State University, Pocatello, ID, 83209 USA

     The fully developed two-phase turbulent isothermal Fanning friction factors for air-powerlaw fluid flows through a horizontal tube were measured experimentally. The test fluids were aqueous solutions of Carbopol. Over the range of the generalized Reynolds number (Re') from 10.000 to 100.000, the homogeneous model was found to be accurate enough for engineering prediction of turbulent friction factor for air and power-law fluid flows through horizontal tubes.

Key words:

two-phase, turbulent, friction factor, power-law fluids.

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6.

ATOMIC OSCILLATOR WITH SPINNING AND
ORBITING ELECTRON AS RADIATOR OF HEAT

Viktor PEKÁREK

Institute of Electrical Engineering, Academy of Sciences
of the Czech Republic
Dolejškova 5, 182 02 Prague 8, CZECH REPUBLIC

     The subatomistic treatment of the theory of radiation allows the intrinsic oscillation of the electron to be interpreted as the crucial mechanism underlying the emission and absorption of heat. Considering the three-dimensional Maxwell-Boltzmann energy-distribution, the ordinary method of statistics yields the mean energy per particle in the form ____ that is compatible with the Planck radiation law. The theory defines the conditions for space quantization of the orbital and intrinsic angular momenta of elementary particles, transposing the probabilistic views of classical thermodynamics into quantum mechanics of a single atom.

Key words:

1D and 3D Maxwell-Boltzmann energy distribution, mean energy, zero-point energy, space quantization, orbital angular momentum, intrinsic angular momentum, electron, photon.

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7.

NON-LINEAR ANALYSIS OF FLEXIBLY SUPPORTED
FINITE TURBULENT FLOW OIL JOURNAL BEARINGS

A.K. CHATTOPADHYAY

Department of Mechanical Engineering
B.E. College (Deemed University), Howrah
West Bengal, INDIA

S. KARMAKAR
Research and Development Departments
W P I L Limited, Panihati
West Bengal, INDIA

     A theoretical analysis is presented investigating the stability of a symmetrical, rigid rotor on a flexibly supported journal bearing. Oil-film flow in the bearing is assumed to be turbulent and the dynamics of the system is studied by calculating the components of fluid film force by solving the generalized Reynolds equation modified to include the effect of turbulence and using these in the non-linear equation of motion of the journal and the bearing. The modified Reynolds equation is solved for pressure distribution by using finite difference method with S.O.R. scheme. The equations of motion are solved by state space technique using the fourth order Runge-Kutta method as the tool for solving the non-linear equations. This gives the transient response of the journal-bearing system. The locus of the journal centre indicates whether the system is stable, marginally stable or unstable. The results indicate that other parameters e.g. aspect ratio, eccentricity ratio, mass parameter, stiffness and damping parameters of the support system remaining fixed an increase in turbulence results towards more stable orbit.

Key words:

journal, bearing, finite, turbulent, stability.

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8.

2D AND 3D COMPUTER MODELLING OF
EXPLOSIVE FORMATION OF PROJECTILES

K. JACH, M. MROCZKOWSKI, A. SARZYŃSKI, R. ŚWIERCZYŃSKI, J. TYL

Institute of Optoelectronics, Military University of Technology
Kaliskiego 2, 01-489 Warsaw, POLAND

     In the paper, equations of the motion of media completed by constitutive relations rendering properties of materials have been presented. The physical-mathematical model described in this paper contains a description of elastic/visco-plastic properties of materials, considers their strength characteristics and possibility of crack formation. Equations of the problem as a result of their complexity, non-linearity, multidimensionality are solved numerically. In this case, the method of free particles has been applied in numerical analysis. The results of exemplary 2D and 3D numerical solutions illustrating processes of explosive formation of projectiles have been presented. High degree of accuracy of the results of the computer simulations makes the applied theoretical methods an important tool for the design of explosive formation of projectiles (EFP).

Key words:

explosive formation of projectiles (EFP), numerical modelling.

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9. Brief note

A SIMPLIFIED CONCEPT OF IMPROVING A DIE
FILL IN FORGING OF BEVEL GEARS


Georgi Georgiev PETZOV, Georgi Kroumov NIKOLCHEV

Research Laboratory for Metal Forming and Work Hardening
Technical University Varna, BULGARIA

     The concept of improving the tooth cavity's fill in forging of bevel gears is based on the relationship between the initial height and impression's depth of the preform. Through their optimal relation the bulge of the preform can be limited and thereby the metal displacement to the die corners intensified. Through an analytical determination of the bulging free surface at constant friction and then its minimizing, it is shown that an optimal relation of the preform's dimensions can be predicted. This concept is experimentally proved and can be applied instead of using more complicated computing methods.

Key words:

closed-die forging, bevel gear, hobbing, bulging, metal flow.

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