<p>Despite numerous analytical studies on local thermal equilibrium cases in fluid-saturated porous media, analytical solutions on local thermal nonequilibrium cases remain unavailable even for fundamental heat transfer problems. The difficulty arises from the complex coupling of two distinct energy equations for the fluid and solid phases, based on the local thermal nonequilibrium assumption, making analytical derivation challenging. This paper addresses this gap by deriving analytical solutions for fundamental thermal nonequilibrium heat transfer problems, such as Stokes’ first problem, transient heat transfer over a suddenly heated horizontal plate, and forced and free convective thermal wakes around heat sources in an infinite porous region. These analytical solutions offer significant advantages, reducing computational effort and time, and providing explicit relationships among key dimensionless parameters. This, in turn, enhances the understanding of the fundamental physics governing local thermal nonequilibrium heat transfer in porous media.</p>