diff --git a/src/Thermal/HeatTransfer/sources.jl b/src/Thermal/HeatTransfer/sources.jl
index 1ee8d36f7..1057f34d8 100644
--- a/src/Thermal/HeatTransfer/sources.jl
+++ b/src/Thermal/HeatTransfer/sources.jl
@@ -28,7 +28,9 @@ the component FixedHeatFlow is connected, if parameter `Q_flow` is positive.
     end
 
     @equations begin
-        port.Q_flow ~ -Q_flow * (1 + alpha * (port.T - T_ref))
+        port.Q_flow ~ ifelse(alpha == 0.0, 
+                                   -Q_flow,  # Simplified equation when alpha is 0
+                                   -Q_flow * (1 + alpha * (port.T - T_ref)))
     end
 end
 
diff --git a/test/Thermal/thermal.jl b/test/Thermal/thermal.jl
index 49c5d634c..9513aa260 100644
--- a/test/Thermal/thermal.jl
+++ b/test/Thermal/thermal.jl
@@ -155,3 +155,30 @@ end
           zeros(length(sol[collector.port_b.Q_flow]))
     @test sol[collector.port_b.T] == sol[collector.port_a1.T] == sol[collector.port_a2.T]
 end
+
+@testset "FixedHeatFlow with alpha=0.0 test" begin
+    @mtkmodel TestModel begin
+    
+        @components begin
+            temp = FixedTemperature(T=300)
+            heatflow = FixedHeatFlow(Q_flow=-1.0)
+            wall = ThermalResistor(R=1)
+        end
+    
+        @equations begin
+            connect(temp.port, wall.port_a)
+            connect(wall.port_b, heatflow.port)
+        end
+    
+    end
+    
+    @info "Building a FixedHeatFlow with alpha=0.0"
+    @mtkbuild test_model = TestModel()
+    prob = ODEProblem(test_model, Pair[], (0, 10.0))
+    sol = solve(prob)
+
+    heat_flow = sol[test_model.heatflow.port.Q_flow]
+
+    @test SciMLBase.successful_retcode(sol) # Ensure the simulation is successful
+    @test all(isapprox.(heat_flow, 1.0, rtol=1e-6)) # Heat flow value should be equal to the fixed value defined
+end
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