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see this about Thermal Conduction and Fourier law
Thermal conduction or Heat transfer by conduction is one of the modes of heat transfer. The law which guides heat transmission in engineering is very essential in the design and construction of heat exchange apparatus. Heat can be transferred in three modes which include: conduction, convection and radiation. For the purpose of what we want to achieve in this series, we will limit our discussion on conduction as a mode of heat transfer. read more in the below link

https://chemicalengineeringnob.com/2018/08/01/thermal-conduction-and-fourier-law/