
Archive issue  vol.10, No.2
No. 
Author(s)  Title 
Pages 
1. 
P.D. Ariel  Fluid dynamics of the elliptic porous slider at high crossflow Reynolds numbers 
193206 
2. 
I.E. Esparragoza  Plastic stresses at the tip of a crack impinging perpendicularly the interface of two different elasticplastic materials 
207216 
3. 
A.K. Haghi  Experimental survey on heat and moisture transport through fabrics 
217226 
4. 
R. Kumar and R. Singh  Elastodynamics of an axisymmetric problem in microstretch viscoelastic solid 
227244 
5. 
R. Kandasamy and K. Periasamy  Nonlinear hydromagnetic flow, heat and mass transfer over an accelerating vertical surface in the presence of internal heat generation and chemical reaction 
245252 
6. 
R. Kumar and G. Partap  Reflection of plane waves in a heat flux dependent microstretch thermoelastic solid half space 
253266 
7. 
S.K. Khan  Boundary layer MHD flow of a viscoelastic fluid over a porous quadratic stretching sheet 
267279 
8. 
R. Kumar and L. Rani  Response of thermoelastic halfspace with voids due to inclined load 
281294 
9. 
Liu RenHuai and Wang Fan  Nonlinear stability of corrugated shallow spherical shell 
295309 
10. 
S. Sharidan, N. Amin and I. Pop  Gjitter induced free convection near a twodimensional stagnation point in micropolar fluids 
311328 
11. 
Sunil, Y.D. Sharma, P.K. Bharti and R.C. Sharma  Thermosolutal instability of compressible RivlinEricksen fluid with Hall currents 
329343 
12. 
S.K. Tomar and B. Singh  Propagation of SHwave through an elastic slab sandwiched between two halfspaces 
329343 
13. 
A.K. Haghi  A theoretical approach to the solutions of surface irregularities parameters 
359364 

1.
FLUID DYNAMICS OF THE ELLIPTIC POROUS SLIDER
AT HIGH CROSSFLOW REYNOLDS NUMBERS
P.D. ARIEL
Department of Mathematical Sciences
Trinity Western University, Langley, V2Y 1Y1, CANADA
email: dariel@twu.ca
The numerical and asymptotic solutions for high crossflow Reynolds numbers in the flow of an incompressible, Newtonian fluid through an elliptical porous slider are developed. An efficient numerical scheme is presented which allows the flow to be computed practically for arbitrarily large values of the Reynold's number. A comparison is made of the results obtained by the two techniques and the domain of the physical parameters for which the asymptotic solution can be used reasonably has been demarcated.

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2.
PLASTIC STRESSES AT THE TIP OF A CRACK IMPINGING PERPENDICULARLY THE INTERFACE OF TWO
DIFFERENT ELASTICPLASTIC MATERIALS
I.E. ESPARRAGOZA
School of Engineering Design, Technology and Professional Programs
The Pennsylvania State University
25 Yearsley Mill Rd., Media, PA. 19063, U.S.A.
email: iee1@psu.edu
The problem of stresses at the tip of a crack impinging the interface of two different elasticperfectly plastic materials is considered. The mathematical model is based on the assumption that both solids are incompressible elasticperfectly plastic materials obeying the HuberVon Misses yielding criterion under conditions of plane strain. It is shown that the problem of local stresses near the crack tip has two possible solutions, one of which is continuous and the other discontinuous. For the inhomogeneous case it was found that the discontinuous solution is the only feasible. In the limiting case of a homogeneous elasticperfectly plastic material, the continuous solution coincides with that of Prandtl (1920), and the discontinuous solution with that of Cherepanov (1997). Some reasons for preferring the discontinuous solutions are provided since it is evident that both solutions cannot exist simultaneously.

Key words: 
crack tip, plasticity, elasticperfectly plastic materials, HuberVon Mises yielding condition. 
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3.
EXPERIMENTAL SURVEY ON HEAT AND MOISTURE TRANSPORT THROUGH FABRICS
A.K. HAGHI
University of Guilan, P.O. Box 3756, Rasht, IRAN
email: haghi@guilan.ac.ir
Heat and moisture transport processes occurring within the solid matrix and in the voids are complicated even for a regularly shaped matrix and impossible for the irregular shaped configurations that exist in general, in porous media. The aim of this article is to contribute to the understanding of the behavior of fabric during dynamic moisture and heat transfer with particular reference to clothing comfort and to review the latest developments.

Key words: 
heat transport, moisture transport, fabrics. 
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4.
ELASTODYNAMICS OF AN AXISYMMETRIC PROBLEM IN MICROSTRETCH VISCOELASTIC SOLID
R. KUMAR
Department of Mathematics
K.U., Kurukshetra, Haryana 136119, INDIA
email: rajneesh_kuk@rediffmail.com
R. SINGH
Department of Mathematics, S.G.A.D. Govt. College
Tarn Taran, Amritsar
email: kalsi_ranjit@yahoo.com
An eigen value approach, following Laplace and Hankel transforms, has been employed to find the general solution to the field equations in a microstretch viscoelastic medium for an axisymmetric problem. An application of an infinite space with a concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inverted by using a numerical inversion technique to get the results in the physical domain. The results in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and microstress components have been obtained numerically and illustrated graphically to depict the effects of stretch and viscosity. Special cases of microstretch elastic solid and micropolar elastic solid have also been deduced.

Key words: 
microstretch viscoelastic solid, LaplaceHankel transforms, eigen value, concentrated force, korrecture method. 
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5.
NONLINEAR HYDROMAGNETIC FLOW, HEAT AND MASS TRANSFER OVER AN ACCELERATING VERTICAL SURFACE IN THE PRESENCE OF INTERNAL HEAT GENERATION AND CHEMICAL REACTION
R. KANDASAMY
Department of Mathematics, Institute of Road and Transport Technology
Erode638 316, INDIA
email: kandan_kkk@yahoo.co.in
K. PERIASAMY
Institute of Road and Transport Technology
Erode638 316, INDIA
An analysis is carried out to study a nonlinear hydromagnetic flow, heat and mass transfer over an accelerating vertical surface with internal heat generation and chemical reaction. The fluid is assumed to be incompressible, viscous, electrically conducting and Boussinesq. A magnetic field is applied transversely to the direction of the flow. The similarity transformation has been utilized to convert the governing partial differential equations into ordinary differential equations and then the numerical solution of the problem is drawn using Runge Kutta Gill method. Numerical calculations for different values of dimensionless parameters entering the problem under consideration are carried out for the purpose of illustrating the results graphically. Examinations of such flow models reveal the influence of the chemical reaction, Prandtl number and strength of the magnetic field.

Key words: 
chemical reaction, magnetic field, Runge Kutta Gill method, internal heat generation and nonlinear hydromagnetic flow. 
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6.
REFLECTION OF PLANE WAVES IN A HEAT FLUX DEPENDENT MICROSTRETCH THERMOELASTIC SOLID HALF SPACE
R. KUMAR
Department of Mathematics, Kurukshetra University
Kurukshetra, Haryana, INDIA
email: rajneesh_kuk@rediffmail.com
G. PARTAP
Department of Applied Mathematics
Dr. B.R. Ambedkar National Institute of Technology
Jalandhar, Punjab, INDIA
email: partap_geeta@rediffmail.com
The present investigation is concerned with the reflection of plane waves in a heat flux dependent microstretch thermoelastic solid half space. The reflection coefficients of various reflected waves with the angle of incidence for GreenLindsay theory for stress free and rigidly fixed boundaries have been obtained. The variations of various reflected waves showing thermal and stretch effects have been shown graphically. Special cases have been deduced.

Key words: 
reflection, microstretch, thermoelastic, amplitude ratios. 
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7.
BOUNDARY LAYER MHD FLOW OF A VISCOELASTIC FLUID OVER A POROUS QUADRATIC STRETCHING SHEET
S.K. KHAN
Department of Mathematics Gulbarga University
Gulbarga585 106 Karnataka, INDIA
email: sujit_kumar@hotmail.com
A mathematical analysis on the boundary layer MHD flow of a viscoelastic fluid over a porous stretching sheet has been presented in this paper. A typical choice of quadratic stretching of the boundary, which generates a quadratic part in velocity parallel to the boundary sheet and a linear mass flux part in the velocity normal to the stretching sheet, has been assumed. Streamline patterns and skin friction coefficients are discussed for various values of nondimensional physical parameters. The result of the analysis reveals that the combined effect of the nondimensional viscoelastic parameter and Hartmann number is to increase significantly the values of skin friction coefficient, whereas, the combined effect of the nondimensional constant mass flux parameter and modified linear mass flux parameter is to reduce largely the values of skin friction coefficient. For positive values of the linear mass flux parameter the stream functions attain a positive slope away from the origin while they attain a negative slope everywhere for zero value. The limiting cases of our results yield the results of Andersson (1992) and Kumaran and Ramanaiah (1996).

Key words: 
viscoelastic fluid, quadratic stretching, MHD flow, stream function, skin friction. 
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8.
RESPONSE OF THERMOELASTIC HALFSPACE WITH VOIDS DUE TO INCLINED LOAD
R. KUMAR
Mathematics Department, Kurukshetra University
Kurukshetra 136119 Haryana, INDIA
email: rajneesh_kuk@rediffmail.com
L. RANI
Doon Valley Institute of Engineering and Technology
Outside Jundla Gate, KARNAL
email: leena_1973@rediffmail.com
A twodimensional deformation of a homogeneous, isotropic, thermoelastic halfspace with voids as a result of an inclined line load is investigated by applying the Laplace and Fourier transforms. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The displacements, stresses, temperature distribution and change in the volume fraction field so obtained in the physical domain are computed numerically. The variations of these quantities have been depicted graphically in the coupled thermoelasticity (CT) and uncoupled thermoelasticity (UCT) for an insulated boundary.

Key words: 
thermoelastic, voids, inclined load, Laplace and Fourier transforms. 
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9.
NONLINEAR STABILITY OF CORRUGATED SHALLOW SPHERICAL SHELL
LIU RenHuai and WANG Fan
Institute of Applied Mechanics, Jinan University
Guangzhou 510632, P.R.CHINA
email: twfan@jnu.edu.cn
In this paper, a nonlinear bending theory for a corrugated shallow spherical shell is constructed. By means of this theory and the modified iteration method, the analytical solution of the critical buckling pressure for a corrugated shallow spherical shell with a rigidly clamped edge under the action of uniform pressure is obtained.

Key words: 
corrugated shallow spherical shell, modified iteration method, nonlinear stability. 
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10.
GJITTER INDUCED FREE CONVECTION NEAR A TWODIMENSIONAL STAGNATION POINT IN MICROPOLAR FLUIDS
S. SHARIDAN and N. AMIN
Department of Mathematics, University of Technology
81310 Johor Bahru, Johor, MALAYSIA
I. POP
Faculty of Mathematics, University of Cluj
R3400 Cluj, CP 253, ROMANIA
email: popi@math.ubbcluj.ro
A numerical solution for the effect of a small but fluctuating gravitational field, characteristic of gjitter, on the free convection boundary layer flow near the forward stagnation point of a twodimensional symmetric body resulting from a step change in its surface temperature and immersed in a micropolar fluid is presented in this paper. Both the cases when the spin gradient on the wall is zero and nonzero are considered. The transformed nonsimilar boundary layer equations are solved numerically by a very efficient implicit finitedifference scheme known as the Kellerbox method to investigate the effects on the skin friction and on the rate of heat transfer of variations in the forcing amplitude, a, forcing frequency, 'omega', and micropolar parameter, K. The results are given for a value of the Prandt number Pr=0.7. It has been found that these parameters affect considerably the considered flow characteristics. A comparison with earlier results for a Newtonian fluid (K=0) shows a good agreement.

Key words: 
gjitter, boundary layer, stagnation point, numerical results. 
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11.
THERMOSOLUTAL INSTABILITY OF COMPRESSIBLE RIVLINERICKSEN FLUID WITH HALL CURRENTS
SUNIL, Y.D. SHARMA, P.K. BHARTI
Department of Applied Sciences, National Institute of Technology, Deemed University
Hamirpur (H.P.)177 005, INDIA
email: sunil@nitham.ac.in
R.C. SHARMA
Department of Mathematics, Himachal Pradesh University
Summer Hill, Shimla171 005, INDIA
The thermosolutal instability of a compressible RivlinEricksen viscoelastic fluid is predicted for a layer heated and soluted from below in the presence of the vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the RivlinEricksen elasticoviscous fluid behaves like a Newtonian viscous fluid. The Hall currents found to hasten the onset of thermosolutal instability whereas the compressibility, stable solute gradient and magnetic field postpone the onset of thermosolutal instability. Also, the dispersion relation is analyzed numerically and results are depicted graphically. The stable solute gradient and magnetic field (and corresponding Hall currents) introduce oscillatory modes in the system, which were nonexistent in their absence. The sufficient conditions for the nonexistence of overstability are also obtained.

Key words: 
Hall effect, thermosolutal instability, RivlinEricksen fluid, magnetic field, compressibility. 
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12.
PROPAGATION OF SHWAVE THROUGH AN ELASTIC SLAB SANDWICHED BETWEEN TWO HALFSPACES
S.K. TOMAR
Department of Mathematics, Panjab University, Chandigarh1600 14, INDIA
email: sktomar@yahoo.com
B. SINGH
Department of Mathematics, Government College, Sector11, Chandigarh1600 11, INDIA
email: baljeet_gill@hotmail.com
Two boundary value problems are investigated in this paper: first, a plane SHwave incident upon a slab of monoclinic crystal which is interposed between two uniform elastic solid halfspaces; second, a plane SHwave incident upon a linear homogeneous isotropic elastic slab interposed between two monoclinic elastic halfspaces. The expressions of reflection and transmission coefficients are derived in a closed form and several particular cases are discussed. Elastic constants for rock gypsum (CaSO4.2H2O) are used in numerical computations to describe the effect of monoclinic properties on reflection and transmission coefficients. It is found that there is a significant effect of the interposed layer on reflection and transmission coefficients.

Key words: 
monoclinic elastic, SHwave reflection and transmission, sandwiched layer, anisotropy. 
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13.
A THEORETICAL APPROACH TO THE SOLUTIONS OF SURFACE IRREGULARITIES PARAMETERS
A.K. HAGHI
University of Guilan
P.O. Box 3756, Rasht, IRAN
email: Haghi@Guilan.ac.ir
In this paper, the probability characteristics of surface irregularities parameters described by the composition of the deterministic component and the homogeneous random normal field were analysed. Formulae for the calculation of the mathematical expectation of the Ras parameter and the evaluation of its variance are given.

Key words: 
mathematical approach, surface irregularities, deterministic component. 
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