Hi Yoann,

If you can you solve isothermal flow around a circular cylinder, I have recently published a very high-quality correlation to calculate local Nusselt numbers which you can use for validation. 

You can find the paper here

https://www.researchgate.net/publication/234117739_A_correlation_for_the_calculation_of_the_local_Nusselt_number_around_circular_cylinders_in_the_range_10_Re_250_and_01_Pr_40?ev=prf_pub

I have also provided simple Matlab scripts so you don't need to actually code them. You can get nice curves by simply calling a Matlab function You can download the scripts from 

https://www.researchgate.net/publication/234118786_Matlab_Script_For_the_Calculation_of_the_Nusselt_number_around_circular_cylinders

You can also have a look at my JCP paper 

https://www.researchgate.net/publication/233994022_A_new_implicit_fictitious_domain_method_for_the_simulation_of_flow_in_complex_geometries_with_heat_transfer?ev=prf_pub

Where you can find many benchmarks for 2D particles/flow interactions with heat transfer

If you had any question or problem using the data don't hesitate to contact me

Good luck

Sina

Article A correlation for the calculation of the local Nusselt numbe...

Data Matlab Script For the Calculation of the Nusselt number arou...

Article A new implicit fictitious domain method for the simulation o...

Dear Yoann Cheny,

May be, our benchmark will be useful. It is more simple case than you need

Best wishes,

Igor Popov

Dear Igor,

Thank you for your answer, I'll read the paper with interest.

Regards,

Yoann

Hi Sina,

Thx for your answer. I'll read your papers, with due attention and see if it may help !

Regards,

Yoann

Hi

you can see:

Manglik, R., Zhang, J., and Muley, A., 2005, Low Reynolds Number Forced Convection in Three-Dimensional Wavy-Plate-Fin Compact Channels: Fin Density Effects, International Journal of Heat and Mass Transfer, 48, pp. 1439-1449.

J. Rostami, A. Abbassi, M. Saffar-Avval, . Optimization of conjugate heat transfer in wavy walls microchannels, Applied Thermal Engineering, Vol. 82, pp. 318-328, (2015)