Heat flow into non-circular Simscape pipe

Consider a pipe with rectangular-shaped cross section of width w and height h (see figure below, grey part). The channel´s top surface is covered with an insulation material (λ1) of thickness t1 (see figure, below green part), the bottom surface is insulated with a different kind of material (λ2) of thickness t2 (see figure below, blue part). Any other dimensions / material properties can assumend to be known and constant.

I want to simulate the heat flow into the pipe / channel (where a fluid with known material properties is flowing thorugh) in case of a heat source on top of green and / or below of the blue insulation material. The sidewalls of the channel can assumend to be adiabatic, the thickness of the channel can assumend to be small enough to be neglected.

The heat flow through both the green and the blue insulation material can be simulated with the " conductive heat transfer " block from Simscape`s Thermal Foundation library. I thought about using the " pipe " block (from Simscape´s Thermal Liquid (Foundation) Library or Simscape´s Thermal Liquid (Fluid) Library). As both of these models only have one port to account for the heat flow, I don´t know how to connect this single port with two heat transfer blocks.

Any help is appriciated!

[Nicolas Schmit]

You can use two conductive each transfer blocs in parallel, one for lambda1 and one for lambda2.