Unsteady rotational motion of a composite sphere in a viscous fluid using stress jump condition

The unsteady motion of a sphere in a viscoelastic fluid

Thermophoretic Motion of a Slightly Deformed Sphere Through a Viscous Fluid

This paper provides a general approach to the solution of the problem of nonisothermal Stokes flow relative to a heat-conducting particle having the shape of a slightly deformed sphere, taking account of Maxwell’s [J. C. Maxwell, Philos. Trans. R. Soc. Lond., 170 (1879), pp. 231–256] thermal creep condition at the surface of the particle. The results, which are of interest in connection with th...

Motion of a rigid body in a viscous fluid

We introduce a concept of weak solution for a boundary value problem modelling the motion of a rigid body immersed in a viscous fluid. The time variation of the fluid’s domain (due to the motion of the rigid body) is not known a priori, so we deal with a free boundary value problem. Our main theorem asserts the existence of at least one weak solution for this problem. The result is global in ti...

Unsteady Free Convection from a Sphere in a Porous Medium with Variable Surface Temperature

In this paper a transient free convection flow around a sphere with variable surface temperature and embedded in a porous medium has been considered. The temperature of the sphere is suddenly raised and subsequently maintained at values that varies with position on surface. The method of asymptotic expansions is applied for small Rayleigh numbers and then a finite-difference scheme is used to s...

Investigation of handmade ferrofluids' motion in a ventilated cavity using computational fluid dynamics

In this research, some more applicable ferrofluids are produced and their mechanical specifications are measured, experimentally. Also, their treatments in the ventilated cavity geometry are assessed numerically. The magnetite nanoparticles are produced by a chemical combination of Fe2+ and Fe3+ with NH3. In order to solve the nanoparticles in the new mediums, a...