I may need more details about your problem to give you specific applications. However, one design of Gas Cooled Nuclear Reactors utilizes this configuration of a porous media immersed in a fluid flow. As you can see, in this kind of reactors the flow is turbulent during normal operation and the complex heat transfer phenomena is of interest to predict fuel operation temperatures . You may want to read the introduction of one of the works I have on packed beds for further reference.

Another application is the use of packed bed and fluidized beds in chemical reactors. In this case you can use them for filtering processes, reactive processes (here you might be interested in mass transfer instead of heat transfer but the governing equations for mass and heat transfer are similar), catalytic processes, among others. Please send me more information about what you have in mind and I will try to help you with more specific examples. Thanks

Thanks Elvis, will get back to you after reading the intros of your work. Thanks indeed.

We are currently studying such a system for solar absorbers.

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Catalytic converters in automobiles comes to mind.

The pourous media can be used to enhaced the heat transfer coefficient, and it can be applicate to heat transfer exchangers and nuclear reactors, and many others fields.

I will like to compare my results with an experimental work. If someone can suggest a research paper which cited experimental work in the annuls sector filled with porous medium.

I can suggest you some one, but It is rectangular channel.