The model fluids containing hard ellipses (HEs) and Gay-Berne (GB) particles where their center is Moving in one dimension and confined between two parallel walls with different interactions are investigated using Monte Carlo simulation, NVT ensemble. The dependency of fluid pressure with respect to the wall distances is studied. The oscillatory behaviors are seen in this quantity against wall separations. The total average number density profile of particles is calculated using the angular number density. For both HE and GB particles confined between hard walls the total average number density at the wall shows a similar oscillatory behavior. We also related the pressure of these systems to the relevant solvation force between two colloidal particles. We have investigated the dependency of this quantity to the packing fraction, temperature, structure of the walls confining the particles and the interaction between ellipses of the fluid. Finally it is possible to reach the required solvation forces by changing the thermodynamic or structural properties.

Propagation of shock waves over a cylinder, sphere and projectile are numerically simulated. Time dependent full Reynolds averaged Navier-Stokes equations are solved numerically with Roe’s scheme. For cylinder and sphere, the diffraction pattern, loci of triple points and shape of diffraction shocks are obtained and compared with experimental results. It is shown that good agreement is obtained, and Roe’s method is capable of predicting those flows. Interaction of a Moving shock wave with flow around a SOCBT projectile is simulated numerically and flow features, pressure coefficient distribution on the projectile surfaces and the time histories of the drag force are obtained. Results show that as the Moving shock wave passes through the projectile, the flow field and aerodynamic forces are changed dramatically. The time history of the drag force shows that it decreases and even becomes negative while shock wave passes the projectile.

The unsteady mixed convection flow within a vertical concentric cylindrical annulus with time-dependent Moving walls is investigated. Fluid is suctioned/injected through the cylinder walls of the annulus. The effects of wall movement on flow and heat transfer characteristics inside the cylindrical annulus are sought. An exact solution of Navier-Stokes and energy equations is obtained in this problem, for the fi rst time. Here, the heat transfer occurs from the walls of the hot cylinder with constant temperature to the Moving fluid with a cooling role. It is interesting to note that the results indicate that the time-dependency of cylinder wall movements has no effect on the temperature pro le. The results also indicate that usage of an inverse of time for velocity movement causes a signifi cant increase in velocity, stress tensor, and Nusselt number in the vicinity of the Moving wall. Also, increasing the mixed convection and suction/injection parameters increases the Nusselt number and decreases the stress tensor on the inner and outer cylinders, respectively; no matter what velocity function is chosen for the Moving wall. Therefore, using the velocity function of the wall movement and the change in other nondimensional governing parameters, flow and heat transfer can be controlled.

A mathematical model was developed for determining the heat transfer between a Moving sheet that passes through a Moving fluid environment to simulate the fabrication process of sheet and fiber-like materials. Similarity transformations were introduced to reduce the governing equations to two nonlinear ordinary differential equations.For high values Prandtl number, the energy equation became much stiffer or singularly perturbed and the standard numerical methods failed to handle it. An innovative procedure combining shooting and singular perturbation technique was developed. The results show that the heat transfer depends on the relative velocity between the Moving fluid and the Moving sheet to a certain value after that value the relative velocity has no effect. If blowing effect is found the thermal layer becomes thinner and temperature profiles are backed together.