diff --git a/modules/navier_stokes/test/tests/finite_volume/wcns/materials/enthalpy_computation.i b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/enthalpy_computation.i
new file mode 100644
index 000000000000..5c76a2250951
--- /dev/null
+++ b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/enthalpy_computation.i
@@ -0,0 +1,101 @@
+[Mesh]
+  [gen]
+    type = GeneratedMeshGenerator
+    dim = 2
+    xmin = 0
+    xmax = 2
+    ymin = 0
+    ymax = 1
+    nx = 5
+    ny = 5
+  []
+[]
+
+[AuxVariables]
+  [pressure]
+    type = INSFVPressureVariable
+  []
+  [T_fluid]
+    type = INSFVEnergyVariable
+  []
+[]
+
+[FVICs]
+  [p]
+    type = FVFunctionIC
+    variable = 'pressure'
+    function = '1e5 + 1e4 * x + 5e3 * y'
+  []
+  [T]
+    type = FVFunctionIC
+    variable = T_fluid
+    function = '300 + 20 * x + 100 * y'
+  []
+[]
+
+[FluidProperties]
+  [fp]
+    type = Water97FluidProperties
+  []
+[]
+
+[FunctorMaterials]
+  [fluid_props_to_mat_props]
+    type = GeneralFunctorFluidProps
+    fp = fp
+    pressure = 'pressure'
+    T_fluid = 'T_fluid'
+    speed = '1'
+
+    # For porous flow
+    characteristic_length = 2
+    porosity = 1
+  []
+  [compute_cp]
+    type = INSFVEnthalpyFunctorMaterial
+    # Use these for non constant cp
+    # fp = fp
+    # pressure = 'pressure'
+    temperature = 'T_fluid'
+    cp = 'cp'
+    rho = 'rho'
+  []
+[]
+
+[Postprocessors]
+  [min_h]
+    type = ElementExtremeFunctorValue
+    value_type = 'min'
+    functor = 'h'
+  []
+  [max_h]
+    type = ElementExtremeFunctorValue
+    value_type = 'max'
+    functor = 'h'
+  []
+  [min_rho_h]
+    type = ElementExtremeFunctorValue
+    value_type = 'min'
+    functor = 'rho_h'
+  []
+  [max_rho_h]
+    type = ElementExtremeFunctorValue
+    value_type = 'max'
+    functor = 'rho_h'
+  []
+[]
+
+
+[Executioner]
+  type = Transient
+  end_time = 0.1
+  dt = 0.1
+[]
+
+[Outputs]
+  csv = true
+[]
+
+[Problem]
+  solve = false
+[]
diff --git a/modules/navier_stokes/test/tests/finite_volume/wcns/materials/gold/enthalpy_computation_non_constant_cp_out.csv b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/gold/enthalpy_computation_non_constant_cp_out.csv
new file mode 100644
index 000000000000..22e12b015307
--- /dev/null
+++ b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/gold/enthalpy_computation_non_constant_cp_out.csv
@@ -0,0 +1,3 @@
+time,max_h,max_rho_h,min_h,min_rho_h
+0,0,0,0,0
+0.1,2780642.3501412,404825244.74395,171177.11854132,1611602.983575
diff --git a/modules/navier_stokes/test/tests/finite_volume/wcns/materials/gold/enthalpy_computation_out.csv b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/gold/enthalpy_computation_out.csv
new file mode 100644
index 000000000000..3800af8b7a8a
--- /dev/null
+++ b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/gold/enthalpy_computation_out.csv
@@ -0,0 +1,3 @@
+time,max_h,max_rho_h,min_h,min_rho_h
+0,0,0,0,0
+0.1,1577428.5775996,1510770803.1975,786797.01942594,473293.31093746
diff --git a/modules/navier_stokes/test/tests/finite_volume/wcns/materials/tests b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/tests
index fa09b3fc0bad..95d669f960f7 100644
--- a/modules/navier_stokes/test/tests/finite_volume/wcns/materials/tests
+++ b/modules/navier_stokes/test/tests/finite_volume/wcns/materials/tests
@@ -39,6 +39,24 @@
     custom_cmp = 'dynamic_pressure.cmp'
     prereq = 'neglect_drho_dt_derivatives'
   []
+  [enthalpy_computation]
+    type = 'CSVDiff'
+    input = enthalpy_computation.i
+    csvdiff = enthalpy_computation_out.csv
+    requirement = 'The system shall be able to compute the specific enthalpy and the enthalpy assuming a constant specific heat.'
+    recover = false
+  []
+  [enthalpy_computation_cp_variable]
+    type = 'CSVDiff'
+    input = enthalpy_computation.i
+    csvdiff = enthalpy_computation_non_constant_cp_out.csv
+    cli_args = "Outputs/file_base=enthalpy_computation_non_constant_cp_out
+                FunctorMaterials/compute_cp/fp=fp
+                FunctorMaterials/compute_cp/pressure=pressure
+                FunctorMaterials/compute_cp/assume_constant_cp=false"
+    requirement = 'The system shall be able to compute the specific enthalpy and the enthalpy with a non constant specific heat.'
+    recover = false
+  []
 
   [exceptions]
     requirement = "The system shall throw an error if"