Lim Yeou Jiann

Mixed convection flow of viscoelastic fluid over a sphere under convective boundary condition embedded in porous medium

The investigation on mixed convection boundary layer of a viscoelastic fluid over a sphere which is embedded in porous medium under convective boundary condition is carried out in this paper. The boundary layer equations of viscoelastic fluid are an order higher than Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely. Hence, the augmentation on extra boundary conditions is needed in order to solve this problem. The governing partial differential equations are first transformed into non-dimensional forms and then solved numerically using the Keller-box method by augmenting extra boundary conditions at infinity. The numerical results obtained for limiting case are comparing with related outcomes in order to validate the present results. Results on the effects of the viscoelastic parameter in the presence of porosity and mixed convection on the skin friction and heat transfer as well as velocity and temperature profile have been discussed.

The effects of heat generation or absorption on MHD stagnation point of Jeffrey fluid

The analysis on the problem of heat generation/absorption effects on MHD stagnation point of Jeffrey Fluid is carried out. The governing partial differential equations are first transform as first order ordinary differential equation using similarity transformation before solving using numerical scheme called Keller-box. A comparative study with the previous results is made in order to verify the validation of the present results. The results for the skin friction and heat transfer coefficient as well as velocity and temperature profiles are presented and discussed in details for various values of heat generation/absorption parameter, magnetic parameter, Deborah number and Prandtl number.

Numerical Computational of Fluid Flow through a Detached Retina

In this paper, a phenomenon of fluid flow through a detached retina is studied. Rhegmatogeneous retinal detachment happens when vitreous humour flow through a detached retina. The exact mechanism of Rhegmatogeneous retinal detachment is complex and remains incomplete. To understand the fluid flow, a paradigm mathematical model is developed and is approximated by the lubrication theory. The numerical results of the velocity profile and pressure distribution are computed by using Finite Element Method. The effects of fluid mechanical on the retinal detachment is discussed and analyzed. Based on the analysis, it is found that the retinal detachment deformation affects the pressure distribution. It is important to comprehend the development of the retinal detachment so that a new treatment method can be developed.

Unsteady magnetohydrodynamics mixed convection flow in a rotating medium with double diffusion

Exact solutions of an unsteady Magnetohydrodynamics (MHD) flow over an impulsively started vertical plate in a rotating medium are presented. The effects of thermal radiative and thermal diffusion on the fluid flow are also considered. The governing equations are modelled and solved for velocity, temperature and concentration using Laplace transforms technique. Expressions of velocity, temperature and concentration profiles are obtained and their numerical results are presented graphically. Skin friction, Sherwood number and Nusselt number are also computed and presented in tabular forms. The determined solutions can generate a large class of solutions as special cases corresponding to different motions with technical relevance. The results obtained herein may be used to verify the validation of obtained numerical solutions for more complicated fluid flow problems.

Exact solutions for unsteady free convection flow of carbon nanotubes over an oscillating vertical plate

The purpose of this paper is to study the unsteady convection flow of carbon nanotubes (CNTs) induced by free convection with oscillating plate condition. Single-wall CNTs are used with water as base fluids. The governing partial differential equations and boundary conditions are transformed into a set of ordinary differential equations using suitable dimensionless variables. These equations are solved analytically using Laplace transform technique to obtain the velocity and temperature profiles. Results for velocity and temperature are shown in various graphs and discussed for the embedded flow parameters in detail. It is observed that, velocity decreases with increasing CNTs volume fraction and an increase in CNTs volume fraction increases the nanofluid temperature, which leads to an increase in the heat transfer rates.

Aqueous humour dynamics in anterior chamber with the Descemet’s membrane detachment

Descemet membrane detachment (DMD) develops in the human eye once the aqueous humour (AH) enters the Descemet membrane (DM) space through a break and causes the membrane to separate from the stroma (the main layer of the cornea which is responsible in giving the cornea its strength). A mathematical model of AH flow through the DMD has been developed. The mathematical model is set up to analyze the fluid mechanics concerning the progression of DMD. This model is based on the Naiver-Stokes equations that govern the flow of AH in the anterior chamber (AC). Specifically, fluid flow in the AC is described as a flow driven by buoyancy effects due to the existing temperature different between the cornea and the pupil. A thin flap (DMD) which is kept in contact with a dome shape (cornea) is considered in the flow in order to show how the type of the DMD affect the fluid flow behave in the AC. The relevant fluid flow equations have been solved numerically using finite element method with the aiding of COMSOL Multi...

Numerical computational of fluid flow through a sclera buckling

In this paper, the implementation of the finite element analysis on the investigation of a phenomenon of fluid flow through a detached retina with sclera buckling treatment is elaborated. To analyze the fluid flow, a paradigm mathematical model is developed. The velocity profile and pressure distribution are simulated. Based on the analysis, it is found that the scale effects which arises from difference in size of the sclera buckling do affects the velocity profile in the human eye. It is important to comprehend the effect of the sclera buckling on the dynamics of the vitreous humour in order to improve the sclera buckling treatment on curing retinal detachment.