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All Journal Journal of the Indonesian Mathematical Society AMM
Mohd Kasim, Abdul Rahman
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Mathematics

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A PRODUCTIVE EXPOSITION FOR THE THERMAL POST BUCKLING PROBLEM OF ORTHOTROPIC CIRCULAR PLATES BY USING RELEVANT ADMISSIBLE FUNCTION FOR LATERAL DISPLACEMENT Nair, Anju V; Mohd Kasim, Abdul Rahman; Salleh, Mohd Zuki
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (499.874 KB) | DOI: 10.33292/amm.v1i2.37

Abstract

A suitable mathematical formulation is used to study the thermal post buckling problem of orthotropic circular plates is presented herein. The total energy equation is reduced by assuming algebraic function for lateral displacement w. The radial tension per unit length is calculated by substituting the value of orthotropic parameter under simply supported and clamped boundary conditions. The thermal post buckling load carrying capacity of the plate is evaluated using integrated average for various values of orthotropic parameter ?, and the numerical results obtained from the present investigation are compared with the results obtained from the known literatures. The results obtained for both cases are concurs well with reference values and the numerical results using integrated average shows more accurate values for the post buckling load.
Numerical Solutions for Convective Boundary Layer Flow of Micropolar Jeffrey Fluid with Prescribe Wall Temperature Rawi, Noraihan Afiqah; Mohd Zin, Nor Athirah; Khalid, Asma; Mohd Kasim, Abdul Rahman; Mat Isa, Zaiton; Shafie, Sharidan
Journal of the Indonesian Mathematical Society VOLUME 26 NUMBER 3 (NOVEMBER 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.3.553.286-298

Abstract

The steady two dimensional convective boundary layer flow of micropolar Jeffrey fluid past a permeable stretching sheet is studied in this paper. The governing boundary layer equation in the form of partial differential equations are transformed into nonlinear coupled ordinary differential equations and solved numerically using an implicit finite-difference scheme known as Keller-box method. The effects of Prandtl number, Deborah number, and material parameter with the boundary condition for microrotation, n = 0 (strong concentration of microelements) on the velocity, microrotation, temperature profiles as well as the skin friction and heat transfer coefficients are presented and discussed. An excellent agreement is observed between the present and earlier published results for some special cases. The results revealed that, the effect of Deborah number and stretching parameter are increased the heat transfer coefficient while the opposite trend is observed for the effects of material and velocity slip parameters. It was also observed that, the values of skin friction increased with the increment on the values of all studied parameters.
Co-Authors Khalid, Asma Mat Isa, Zaiton Mohd Zin, Nor Athirah Mohd Zuki Salleh, Mohd Zuki Nair, Anju V Rawi, Noraihan Afiqah Sharidan Shafie