Mechanical Engineering Commons^™

Effect Of Moving Boundary On Fluid Flow, Kh Md Faisal

Electronic Thesis and Dissertation Repository

The peristaltic pumping through channels with vibrating walls has been studied. The vibrations take the form of traveling waves. The spectrally accurate algorithm used to study flow properties is based on the Fourier expansions in the flow direction, Chebyshev expansions in the transverse direction, and the immersed boundary conditions (IBC) concept to deal with the irregular form of the solution domain associated with the waves. The flow domain is immersed in a regular computational domain. The flow boundary conditions are imposed in the form of constraints. Effectiveness of peristaltic pumping is assessed by determining the variation in the flow rate …

Effects Of Grooves On Drag In Laminar Channel Flow, Yanbei Wang

Electronic Thesis and Dissertation Repository

This thesis presents the analysis of the effects of three-dimensional grooves on the flow responses in laminar channel flows. The wall topographies were expressed using the two-dimensional Fourier expansions. A spectrally accurate algorithm based on the Immersed Boundary Conditions (IBC) was used to determine the solution for the field equations and extract information about the velocity and pressure fields. The effects of grooves on the pressure losses were assessed by determining the additional pressure gradient required to maintain the same flow rate through the grooved channel as through the reference smooth channel. Effects of groove wave numbers, groove amplitudes, the …

Convection In Corrugated Slots, Seyed Arman Abtahi

Electronic Thesis and Dissertation Repository

This thesis consists of two parts. The first part deals with the development of proper methodology, i.e. a spectrally accurate algorithm suitable for analysis of convection problems in corrugated slots. The second part is devoted to the study of natural convection in corrugated slots.

The algorithm uses the immersed boundary conditions (IBC) concept to deal with the irregular form of the solution domain associated with the presence of corrugated plates. The field equations are discretized on a regular domain surrounding the flow domain using Fourier expansions in the horizontal direction and Chebyshev expansions in the vertical direction. The boundary conditions …

Flows In Vibrating Channels, Sahab Zandi

Electronic Thesis and Dissertation Repository

A spectral algorithm based on the immersed boundary conditions (IBC) concept has been developed for the analysis of flows in channels bounded by vibrating walls. The vibrations take the form of travelling waves of arbitrary profile. The algorithm uses a fixed computational domain with the flow domain immersed in its interior. Boundary conditions enter the algorithm in the form of constraints. The spatial discretization uses a Fourier expansion in the stream-wise direction and a Chebyshev expansion in the wall-normal direction. Use of the Galileo transformation converts the unsteady problem into a steady one. An efficient solver which takes advantage of …