Graduation Year


Document Type




Degree Granting Department

Mechanical Engineering

Major Professor

Muhammad Mustafizur Rahman, Ph.D.


Microtubes, Protrusions, Laminar flow, Flow restrictions, Magnetic refrigeration


In this project we studied the effect of different parameters on heat transfer in two-dimensional microchannels, microtubes and also tube-in-block heat exchangers for various engineering applications. These included the use of flow restrictions to enhance local heat or mass transfer rate, enhancement of conjugate heat transfer with discrete heating and magnetic coolers (or heaters) associated with magnetic refrigeration system. The results of this research will help in designing the heating or cooling systems and selection of their appropriate geometrical dimensions and materials for specific applications. Types of problems studied in this project are: steady state analysis of forced convection around a restricted flow passage in a micro channel, effect of protrusions in a microtube or microchannel for conjugate heat transfer with uniform or discrete heating and transient analysis of heat transfer in trapezoidal microchannels under time varying heat source.

For each of these problems a numerical simulation model was developed. The mass, momentum, and energy conservation equations were solved in the fluid region and energy conservation in the sold region to arrive at the velocity and the temperature distributions. Detailed parametric study was carried out for each problem. The parameters were shape and size of the restriction/protrusion, number of restrictions/protrusions, wall thickness, Reynolds number, solid materials and working fluids. The results showed that in microtubes the local value of Nusselt number increases at the restriction/protrusion and the global value for the whole tube is somewhat lower. For a two-dimensional microchannel, both the local Nusselt number at the restriction/protrusion as well as the global Nusselt number for the entire channel is higher.

In the trapezoidal channels the results showed that with the increase in Reynolds number, the outlet temperature decreased and the average heat transfer coefficient increased. With an increase in magnetic field there was an increase in the solid fluid interface temperature and in turn the average heat transfer coefficient increased. With a decrease in the channel height and width there was an increase in the average Nusselt number in the channel.