Nor Aida Zuraimi Md Noar

Mathematical model of boundary layer flow over a moving plate in a nanofluid with viscous dissipation

In this study, the numerical investigation of boundary layer flow over a moving plate in a nanofluid with viscous dissipation and constant wall temperature is considered. The governing equations for the model which is in non linear partial differential equations are first transformed to ordinary differential equations by using a similarity transformation. The ordinary differential equations are solved numerically by using the Kellerbox method. Numerical solutions are obtained for the reduced Nusselt number, Sherwood number and the skin friction coefficient as well as the concentration and temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, moving parameter, Brownian and thermopherosis motion parameters, Eckert number and Lewis number are analyzed and discussed.

Mathematical modeling of wave impacts on inclined seawall

This paper discusses a mathematical model of the large, short-lived pressure by waves breaking against inclined coastal structures. The theory of pressure impulse, P proposed by Cooker which simplify the highly time-dependent and very nonlinear problem by considering the time integral of the pressure over the duration of the impact pressure-impulse is used in this study. P satisfies Laplace’s equation and perturbation theory is applied to this model and is solved analytically using MATLAB. The correlation between the pressure impulse and the inclination angle of a wall is investigated theoretically. It is found that as angle of inclination seawall increases, the pressure impulse also increases.

Effect of thermal radiation on laminar boundary layer flow over a permeable flat plate with Newtonian heating

The laminar boundary layer flow over a permeable flat plat with the presence of thermal radiation and Newtonian heating is numerically studied. The non linear partial differential equations that governed the model are transformed to ordinary differential equations before being solved numerically by Runge-Kutta-Fehlberg (RKF) method using Maple software. The influenced and characteristic of pertinent parameters which are the Prandtl number, the suction/blowing parameter, the thermal radiation parameter and the conjugate parameter are analyzed and discussed. It is found that the presence of thermal radiation and blowing parameter has increased the value of wall temperature. Meanwhile, the trend is contrary with the suction effect.

Mathematical Modelling of Wave Impact on Floating Breakwater

The impact of breaking wave on shoreline can be lessen or prevented by placing some kind of protection before the wave to reduce the speed of the wave before attacking the shoreline. Such protection can be in the form of a breakwater which is a structure designed to help reducing the wave intensity in whether in inshore waters or relatively shallow water. Thus, a mathematical model of Pressure Impulse, P is used to model the effect of waves exerted on a wall of a breakwater. A two-dimensional field of equations is derived for P which are applicable in three regions of breakwater problems by expressing this in terms of eigenfunctions that satisfy the boundary conditions apart from that the impact region and the matching of the three regions (before the breakwater, under the breakwater and after the breakwater). As in Cooker, we found that the equations of P in region 1 and region 3 are same as Cooker only that equation in region 3 has to include a secular term.

Slip flow on Stagnation Point over a Stretching Sheet in a Viscoelastic Nanofluid

In this study, the numerical investigation of stagnation point flow past a stretching sheet immersed in a viscoelastic (Walter’s liquid-B model) nanofluid with velocity slip condition and constant wall temperature is considered. The governing equations for the model which is non linear partial differential equations are first transformed by using similarity transformation. Then, the Runge-Kutta-Fehlberg method is employed to solve the transformed ordinary differential equations. Numerical solutions are obtained for the reduced Nusselt number, the Sherwood number and the skin friction coefficient. Further, the effects of slip parameter on the Nusselt number and the Sherwood number are analyzed and discussed. It is found that the heat and mass transfer rate is higher for the Walter’s fluid compared to the classical viscous fluid and the presence of the velocity slip reduces the effects of the stretching parameter on the skin friction coefficient.

Slip effect on stagnation point flow past a stretching surface with the presence of heat generation/absorption and Newtonian heating

Present study solved numerically the velocity slip effect on stagnation point flow past a stretching surface with the presence of heat generation/absorption and Newtonian heating. The governing equations which in the form of partial differential equations are transformed to ordinary differential equations before being solved numerically using the Runge-Kutta-Fehlberg method in MAPLE. The numerical solution is obtained for the surface temperature, heat transfer coefficient, reduced skin friction coefficient as well as the temperature and velocity profiles. The flow features and the heat transfer characteristic for the pertinent parameter such as Prandtl number, stretching parameter, heat generation/absorption parameter, velocity slip parameter and conjugate parameter are analyzed and discussed.

Buoyancy Effect on Stagnation Point Flow past a Stretching Vertical Surface with Newtonian Heating

In this study, the numerical investigations of the mixed convection on a stagnation point flow past a stretching vertical surface with Newtonian heating is considered. The non linear partial differential equations that governed the model are transformed by similarity variables before being solved numerically using the Keller-box method. The numerical solutions are obtained for the surface temperature, the heat transfer coefficient, the reduced skin friction coefficient and the reduced Nusselt number as well as the velocity and the temperature profiles. The features of the flow and heat transfer characteristics for pertinent parameters which are Prandtl number, stretching parameter, buoyancy parameter and conjugate parameter are analyzed and discussed.

Wave impact on a deck or baffle

Some coastal or ocean structures have deck-like baffles or horizontal platforms that can be exposed to wave action in heavy seas. A similar situation may occur in partially-filled tanks with horizontal baffles that become engulfed by sloshing waves. This can result in dangerous wave impact loads (slamming) causing a rapid rise of pressures which may lead to local damaging by crack initiation and/or propagation. We consider the wave impact against the whole of underside of horizontal deck (or baffle) projecting from a seawall (or vertical tank wall), previously studied by Wood and Peregrine (1996) using a different method based on conformal mappings. The approach used is to simplify the highly time-dependent and very nonlinear problem by considering the time integral of the pressure over the duration of the impact pressure-impulse, P (x, y). Our method expresses this in terms of eigenfunctions that satisfy the boundary conditions apart from that on the impact region and the matching of the two regions (und...