Bending analyses of isotropic, functionally graded, laminated composite, and sandwich beams are carried out using a quasi-3D polynomial shear and normal deformation theory. The most important feature of the proposed theory is that it considers the effects of transverse shear and transverse normal deformations. It accounts for parabolic variations in the strain/stress produced by transverse shea...

A boundary condition-implemented immersed boundary-lattice Boltzmann method (IB-LBM) is presented in this work. The present approach is an improvement to the conventional IB-LBM. In the conventional IB-LBM, the no-slip boundary condition is only approximately satisfied. As a result, there is flow penetration to the solid boundary. Another drawback of conventional IB-LBM is the use of Dirac delt...

A hybrid immersed boundary-lattice Boltzmann method IB-LBM is presented in this work to simulate the thermal flow problems. In current approach, the flow field is resolved by using our recently developed boundary condition-enforced IB-LBM Wu and Shu, 2009 . The nonslip boundary condition on the solid boundary is enforced in simulation. At the same time, to capture the temperature development, t...

A boundary condition-enforced immersed boundary-lattice Boltzmann method (IB-LBM) for the simulation of particulate flows is presented in this paper. In general, the immersed boundary method (IBM) utilizes a discrete set of force density to represent the effect of boundary. In the conventional IB-LBM, such force density is pre-determined, which cannot guarantee exact satisfaction of non-slip bo...

We investigate the axial vortical effect in a uniformly rotating sphere subject to finite size. use MIT boundary condition limit of sphere. For massless fermions inside sphere, we obtain exact vector current far from that matches expression obtained cylindrical coordinates literature. On spherical boundary, find both longitudinal and transverse(with respect rotation axis) components with magnit...