
Archive issue  vol.2 No.1
No. 
Author(s)  Title 
Pages 
1. 
In memory of Professor Janusz Witold ELSNER  
58 
2. 
AlNimr M.A. and Darabseh T.  Analytical solution to transient laminar fully developed free convection in openended vertical channel embedded in porous media 
932 
3. 
Hossain M.A., Alam K.C.A. and Rees D.A.S.  MHD forced and free convection boundary layer flow along a vertical porous plate 
3351 
4. 
Watanabe K. and Kurashige M.  Fundamental solutions for a fluidsaturated, isotropic, poroelastic, infinite solid having zero permeability in one direction 
5371 
5. 
Çarpinlioglu M.Ö.  Development of a boundary layer downstream of flow separation indicative of leading edge contamination on a flat plate 
7388 
6. 
Shulman Z.P., Khusid B.M. and Fain I.V.  Effect of blood perfusion variation on heat transfer under local hyperthermia treatment 
89106 
7. 
Mansour M.A., ElHawary H.M. and Gorla R.S.R.  Chebyshev approximation for heat transfer from a semiinfinitely large porous plate in a viscoelastic fluid 
107116 
8. 
Chen F.K. and Tseng P.C.  Calculation of the restraining force for the drawbead in the stamping process 
117132 
9. 
Kmieæ A.  Analysis of the gassolid flow in a riser reactor 
133152 

2.
ANALYTICAL SOLUTION TO TRANSIENT LAMINAR
FULLY DEVELOPED FREE CONVECTION IN OPENENDED
VERTICAL CHANNEL EMBEDDED IN POROUS MEDIA
Moh'd Ahmad ALNIMR, Tariq DARABSEH
Mechanical Engineering Department
Jordan University of Science and Technology
IrbidJORDAN
Using Green's function method, analytical solutions to transient fully developed natural convection in an openended vertical porous channel are presented. Four fundamental boundary conditions have been investigated and the corresponding fundamental solutions are obtained. These four fundamental boundary conditions are obtained by combining each of the two conditions of having one boundary maintained at uniform heat flux or at uniform wall temperature with each of the conditions that the opposite boundary is kept isothermal at the inlet fluid temperature or adiabatic. Expressions for the transient fully developed volumetric flow rate the, mixing cup temperature and the local Nusselt number are given for each case. These fundamental solutions may be used to obtain solutions satisfying more general thermal boundary conditions.

Key words: 
porous media, analytical solutions, free convection, vertical channel, transient behaviour. 
TOP OF PAGE 
3.
MHD FORCED AND FREE CONVECTION BOUNDARY LAYER FLOW
ALONG A VERTICAL POROUS PLATE
M. A. Hossain, K. C. A. Alam
Department of Mathematics, University of Dhaka
Dhaka 1000, BANGLADESH
D. A. S. Rees
School of Mechanical Engineering, University of Bath
Bath BA2 7AY, U.K.
This paper details a study of the combined forced and free convection boundary layer flow of a viscous, incompressible and electrically conducting fluid along a vertical porous plate in the presence of transverse magnetic field. Numerical solutions of the local nonsimilar boundary layer equations governing the flow and energy are obtained by employing an implicit finite difference approximation together with the Keller box method. The results thus obtained are compared with perturbation solutions in terms of both the local rate of heat transfer and the local surface shear stress for different physical parameters. The dimensionless velocity and temperature functions in the flow are also presented.

Key words: 
magnetohydrodynamic, convection, transpiration, boundary layer. 
TOP OF PAGE 
4.
FUNDAMENTAL SOLUTIONS FOR A FLUIDSATURATED,
ISOTROPIC, POROELASTIC, INFINITE SOLID HAVING ZERO
PERMEABILITY IN ONE DIRECTION
Koya WATANABE
Showa Civic Design Co.Nagai 172020
Morioka 020, JAPAN
Michio KURASHIGE
Iwate University Department of Mechanical Engineering
Ueda 435, Morioka 020, JAPAN
Fundamental solutions have been obtained for a fluidsaturated, isotropic, poroelastic, infinite solid having zero permeability in one direction for an instantaneous fluid point source and instantaneous point forces in and perpendicular to the zeropermeability direction. The solutions are aimed at their application to simulation of the waterf looding in low permeability oil reservoirs, one of the techniques to enhance oil recovery. Zero permeability in one direction may be a good approximation because the flow of oil or injected water predominates in the horizontal direction. Furthermore, this assumption may dramatically simplify expected applications because it eliminates the adverse contributions of the bounding surfaces of the reservoir to complexity in crack analyses.

Key words: 
fundamental solution, poroelastic solid, pore fluid, point source, point force, permeability. 
TOP OF PAGE 
5.
DEVELOPMENT OF A BOUNDARY LAYER DOWNSTREAM
OF FLOW SEPARATION INDICATIVE OF LEADING
EDGE CONTAMINATION ON A FLAT PLATE
Melda Ö.ÇARPINLIOGLU
Gaziantep University Faculty of Engineering
Department of Mechanical Engineering
Gaziantep, TURKEY
An experimental investigation was carried out on the influence of the leading edge contamination upon the flow field on a swept flat plate. A leading edge flow separation was produced to simulate the edge contamination problem. The development of the attached boundary layer downstream of the separated flow region has been studied through the mean flow parameters. A rather classical method of measurement by means of pressure probes was used in the investigation. Based on the growth characteristics of the attached boundary layer, the critical conditions representing the origin of turbulent flow on the plate have been estimated.

Key words: 
leading edge contamination, transition, streamwise velocity, crosswise velocity. 
TOP OF PAGE 
6.
EFFECT OF BLOOD PERFUSION VARIATION ON HEAT TRANSFER
UNDER LOCAL HYPERTHERMIA TREATMENT
Z.P.SHULMAN, B.M.KHUSID, I.V.FAIN
A.V.Luikov Heat and Mass Transfer Institute
Belarussian Academy of Sciences
15 P.Brovka Street, Minsk 220072, REPUBLIC OF BELARUS
A new model of the blood flow rate has been developed. The approach is based on the principle of timetemperature superposition widely used in chemical physics and polymer rheology. For the blood perfusion, this idea is valid under the following assumptions: (I) the structure of a system does not experience qualitative changes during the treatment, and (II) the blood flow variation is predominantly controlled by a single mechanism. Numerous experimental data on changes in the blood flow under isothermal conditions have been used to derive a mathematical model for the blood flow rate variation in time during heating. Computer modelling of heat transfer processes performed on the basis of the developed model have revealed the influence of the heating regime on the temperature evolution in the malignant and normal tissues. The results obtained explain a great number of effects observed experimentally in hyperthermia, e.g. complicated evolution of temperature field under constant?power microwave heating, a higher temperature of malignant tissue than that of normal tissue, etc.

Key words: 
blood flow, hyperthermia, heat transfer, computer simulation, polymer rheology, microwave heating. 
TOP OF PAGE 
7.
CHEBYSHEV APPROXIMATION FOR HEAT TRANSFER FROM A
SEMIINFINITELY LARGE POROUS PLATE IN A VISCOELASTIC FLUID
M.A. MANSOUR, H.M. ELHAWARY
Mathematics Department, Assiut University
Assiut, EGYPT
R.S.R. GORLA
Department of Mechanical Engineering
Cleveland State University, Cleveland
Ohio 44115, USA
An analysis is presented based upon the Chebyshev approximations for the boundary layer flow of a viscoelastic fluid over a porous plate. The technique reduces the problem to a system of nonlinear equations in the highestorder derivatives which were solved by Newton's iterations.

Key words: 
Chebyshev approximation, heat transfer, viscoelastic fluids. 
TOP OF PAGE 
8.
CALCULATION OF THE RESTRAINING FORCE
FOR THE DRAWBEAD IN THE STAMPING PROCESS
FuhKuo CHEN, PaoChing TSENG
Department of Mechanical Engineering
National Taiwan University
Taipei, Taiwan, R.O.C.
A theoretical model based on the energy method was developed in the present study to derive a closedform solution for the calculation of the restraining force produced by drawbeads used in a stamping process. In this model, the deformation of the sheetmetal drawn over a drawbead is characterized by bending, sliding and unbending processes. In order to include the friction effect in the calculations, a simple friction model was also proposed in the present study. Under the frictionless condition, the theoretical model slightly overestimates the restraining force when compared with that obtained from the finite element simulations, but renders the calculated values in better agreement with the experimental data. For the frictional case, the calculated values agree reasonably well with the finite element results. The proposed model is therefore justified.

Key words: 
drawbead restraining force, energy method, plastic energy dissipation, finite element method. 
TOP OF PAGE 
9.
ANALYSIS OF THE GASSOLID FLOW IN A RISER REACTOR
Andrzej KMIEÆ
Institute of Chemical Engineering and Heating Equipment
of Technical University of Wroc³aw, POLAND
Investigations of aerodynamics of gassolid flow in riser reactors designed for coal pyrolysis or for catalytic cracking higher boiling olefins and paraffin in semiindustrial scale have been carried out. A theoretical model based on differential equations for momentum balance of the gassolid mixture, momentum balance of the solid phase and continuity equations for both the gas and the solid phase has been proposed. This method of description of gassolids flow follows the approach of Arastoopour and Gidaspow but takes into account the solidwall friction and stream expansion as it was done by Kmieæ and Leschonski for injectors. Integration of differential equations has been performed by Gear's method. The effect of different empirical correlations for the solidwall friction factor has been shown. Distributions, resulting from the model, for pressure, gas velocity, particle velocity, voidage and residence time of particle along the axis of apparatus have been presented.

Key words: 
riser reactor, gassolid flow, aerodynamics. 
TOP OF PAGE 

