In this study, the numerical analysis of conjugate heat transfer of laminar flow in a functionally graded hollow cylinder (FGHC) made of metal/ceramic for a two-dimensional fluid and wall conduction subject to Newton boundary condition is considered. The fluid How to cite this article: Fadipe OL, Adelaja AO, Olakoyejo OT. Transient solution of temperature field of conjugate laminar forced convection heat transfer in functionally graded hollow cylinder.