Pusat Sains Matematik, Universiti Malaysia Pahang (PSM UMP) Adakan Pra Perbincangan Dengan Universiti Teknologi Petronas (UTP) Dan Dua (2) Universiti Dari Indonesia (Universitas Islam Riau (UIR) Dan Universitas Telkom (Tel-U)) Untuk Inisiatif Geran Padanan

Pada 1 Ogos 2022, Pra Perbincangan mengenai inisiatif geran padanan antarabangsa telah diadakan secara dalam talian yang melibatkan Universiti Malaysia Pahang (UMP), Universiti Teknologi Petronas (UTP) dan dua (2) buah institusi daripada Indonesia iaitu Universitas Islam Riau (UIR) dan Universitas Telkom (Tel-U). Hasil perbincangan telah memutuskan sebanyak tujuh (7) projek yang melibatkan pelbagai disiplin diusulkan untuk cadangan penyelidikan bagi geran padanan antarabangsa. UMP telah diwakili oleh tujuh (7) pensyarah dari Pusat Sains Matematik (PSM) iaitu Profesor Madya Dr Norhayati Rosli, Profesor Madya Dr Abdul Rahman Mohd Kasim, Profesor Madya Dr Mohd Sham Mohamad, Dr Zulkhibri Ismail, Dr Nor Aida Zuraimi Md Noar, Dr Noryanti Muhammad dan Dr Wan Nur Syahidah Wan Yusoff. Kepakaran setiap penyelidik dari institusi yang terlibat telah dikenal pasti untuk memacu projek-projek yang dicadangkan. Tahniah dan syabas untuk semua penyelidik yang terlibat terutama daripada Pusat Sains Matematik, UMP

Mathematical Formulation to Study the Thermal Post Buckling of Orthotropic Circular Plates

simple mathematical formulation to evaluate the post buckling load of orthotropic circular plates with both simply supported and clamped boundary conditions are presented in this paper. The formulation is on the basis of radial edge tensile load developed in the plate because of the large deflection of the plate. The numerical results achieved from the present formulation in terms of linear buckling load parameters for different orthotropic parameter values are compared with the results from the literature

Forced convective of micropolar fluid on a stretching surface of another quiescent fluid

In this paper, the problem of forced convection flow of micropolar fluid of lighter density impinging orthogonally on another heavier density of micropolar fluid on a stretching surface is investigated. The boundary layer governing equations are transformed from partial differential equations into a system of nonlinear ordinary differential equations using similarity transformation and solved numerically using dsolve function in Maple software version 2016. The velocity, microrotation and temperature ofmicropolar fluid are analyzed. It is found that both upper fluid and lower fluid display opposite behaviour when micropolar parameter K various with strong concentration n= 0, Pr = 7 and stretching parameter λ= 0.5. The results also show that stretching surface exert the force that increasing the velocity of micropolar fluid

Heat generation effect on mixed convection flow of viscoelastic nanofluid: convective boundary condition solution

The steady two-dimensional mixed convection boundary layer flow of viscoelastic nanofluid past a circular cylinder by considering convective boundary condition with heat generation has been studied numerically. For the case of nanofluid, the base fluid chosen is Carboxymethyl cellulose solution (CMC) and the nanoparticle is copper. The Tiwari-Das model has been considered in this study. Similarity transformation has been introduced by reducing the governing partial differential equations to a system of ordinary differential equations. Then, the Keller-box is applied to solve the nonlinear similarity. The numerical results are presented graphically and analytically for different values of the parameters including the heat generation parameter, nanoparticles volume fraction, and Biot number. A systematic study is discussed to analyze the effect of these parameters on the velocity and temperature profiles, as well as the skin friction and heat transfer coefficient. The thermal boundary layer shows the changes in variation behavior when the nanoparticles volume fraction, heat generation, and Biot number are increased. Heat transfer coefficient is an increasing function of heat generation parameter. Nanoparticles volume fraction on heat transfer coefficient has the opposite effect when compared with the heat generation parameter

Unsteady boundary layer flow over a sphere in a porous medium

This study focuses on the problem of unsteady boundary layer flow over a sphere in a porous medium. The governing equations which consists of a system of dimensional partial differential equations is applied with dimensionless parameter in order to obtain non-dimensional partial differential equations. Later, the similarity transformation is performed in order to attain nonsimilar governing equations. Afterwards, the governing equations are solved numerically by using the Keller-Box method in Octave programme. The effect of porosity parameter is examined on separation time, velocity profile and skin friction of the unsteady flow. The results attained are presented in the form of table and graph

A comparative analysis on single and two phase casson fluid under aligned magnetic field effect and newtonian heating

This research investigates the impact of aligned magnetic fields and Newtonian heating on single and two-phase Casson fluid (a mixture of Casson fluid and dust particles), addressing a notable knowledge gap in comparing the two fluid models under the same effect. The problem of this study lies in the need to understand the similarities or differences in the reaction of these fluids to external forces. To achieve this, the governing equations for both fluids were formulated using a boundary layer approximation and numerical solutions were obtained utilizing the 'bvp4c' function within MATLAB software. The analysis revealed comparable trends in flow and thermal behaviour between the two fluids, it also showed that the magnetic field exerted a more pronounced influence on flow properties compared to forces such as buoyancy and inertia. Conversely, Newtonian heating conditions had a more significant impact on thermal properties compared to the magnetic field. Additionally, the single-phase Casson fluid showed higher velocity and temperature profiles than the two-phase Casson fluid phases. These findings suggest that the presence of dust particles reduces the velocity and temperature magnitudes of the Casson fluid

A comparative study on the postbuckling behaviour of circular plates

Materials/metals, polymers, reinforced plastics, composites, functionally graded materials, ceramics and nano materials find significant place in many engineering and scientific applications. The material structural members such as plates and beams are subjected to structural deformation owing to several external and internal factors such as temperature, hysteresis and so on. Therefore, to analyze the structural deformation of these material structures, its nonlinear behavior modeling is relevant. The rapid progress in high speed computing devices resolve research problems involving material non-linearity behavior such as post-buckling behavior in varied structures. The post-buckling behavior of commonly used structural elements especially plates under thermal and mechanical loads are of great practically important research topic. Therefore, a comparative study on the thermal post buckling behavior of plates by various numerical methods such as finite element formulation, shear deformation theory, Rayleigh – Ritz method, iteration methods and so on will be helpful to obtain a cutting edge on numerical solutions and their applications in varied engineering applications. This paper reports a novel mathematical formulation involving substitution method to evaluate and compare the thermal post buckling load carrying capacity of circular plates with minimal errors

Generalized mathematical model of Brinkman fluid with viscoelastic properties: Case over a sphere embedded in porous media

The process of heat transfer that involves non-Newtonian fluids in porous regions has attracted considerable attention due to its practical application. A mathematical model is proposed for monitoring fluid flow properties and heat transmission in order to optimize the final output. Thus, this attempt aims to demonstrate the behavior of fluid flow in porous regions, using the Brinkman viscoelastic model for combined convective transport over a sphere embedded in porous medium. The governing partial differential equations (PDEs) of the proposed model are transformed into a set of less complex equations by applying the non-dimensional variables and non-similarity transformation, before they are numerically solved via the Keller-Box method (KBM) with the help of MATLAB software. In order to validate the model for the present issue, numerical values from current and earlier reports are compared in a particular case. The studied parameters such as combined convection, Brinkman and viscoelastic are analyzed to obtain the velocity and temperature distribution. Graphs are used to illustrate the variation in local skin friction and the Nusselt number. The results of this study showcase that when the viscoelastic and Brinkman parameters are enlarged, the fluid velocity drops and the temperature increases, while the combined convection parameter reacts in an opposite manner. Additionally, as the Brinkman and combined convection parameters are increased, the physical magnitudes of skin friction and Nusselt number are increased across the sphere. Of all the parameters reported in this study, the viscoelastic parameter could delay the separation of boundary layers, while the Brinkman and combined convection parameters show no effect on the flow separation. The results obtained can be used as a foundation for other complex boundary layer issues, particularly in the engineering field. The findings also can help researchers to gain a better understanding of heat transfer analysis and fluid flow properties

On heat transfer in Carreau fluid flow with thermal slip : An artificial intelligence (AI) based decisions integrated with lie symmetry

It is well accepted that non-Newtonian fluid flow narrating differential systems with thermal slip conditions at the surface plays an important role in instabilities subject to polymer extrusion like stick–slip and gross-melt-fracture instabilities. Therefore, the present article contains the artificial neural networking evaluation of the friction at magnetized porous surface having thermal and velocity slip boundary conditions. The Carrea fluid flow is mathematically formulated at a porous surface. The novelty is enhanced by considering velocity slip boundary condition, thermal slip boundary condition, chemical reaction, magnetic field, and heat generation effects. The flow differential equations are reduced by using Lie symmetry analysis. The reduced equations are solved by using the shooting method. The neural networking model is constructed by engaging 132 values of SFC. 92 (70%) is marked for training, and 20 (15%) each is marked for validation and testing. 10 number of neurons are chosen in the hidden layer. Levenberg-Marquardt algorithm is carried out to train the network. The performance of the constructed neural networking model is evaluated by MSE and R. The developed ANN is the best to predict the friction values at the magnetized porous plate. Owning to predicted values of ANN, SFC shows inciting values towards the magnetic field parameter

MHD forced convective flow past a vertical plate: an automated solution approach

The forced convection flow in incompressible viscous fluid past a vertical plate is investigated with the effect of magnetic field. The governing equations are solved numerically using automated solution technique which is FEniCS. It is shown that the increasing of magnetic field strength lead to decrease the velocity but increase the temperature for cooled plate. Meanwhile for heated plate, increasing magnetic field strength lead to decrease the velocity and the temperature of the fluid