diff --git a/PRIVATE b/PRIVATE
index 978d132e3..1df86eb3d 160000
--- a/PRIVATE
+++ b/PRIVATE
@@ -1 +1 @@
-Subproject commit 978d132e3baaf60e00f8ac2e70f00285c5cc0328
+Subproject commit 1df86eb3d63923557406999ed5a1b41a27fb1fda
diff --git a/examples/config/phase/thermal/externalheat_adiabatic.yaml b/examples/config/phase/thermal/externalheat_adiabatic.yaml
new file mode 100644
index 000000000..e34f4fc5b
--- /dev/null
+++ b/examples/config/phase/thermal/externalheat_adiabatic.yaml
@@ -0,0 +1,11 @@
+adiabatic:
+  rho: 1
+  thermal:
+    c_p: 1
+    K_11: 0
+    K_22: 0
+    K_33: 0
+    source:
+      - type: externalheat
+        f_T: [1, 1, 0, 0]
+        t_n: [0, 500, 500.001, 1000]
diff --git a/examples/config/phase/thermal/externalheat_fast-convection.yaml b/examples/config/phase/thermal/externalheat_fast-convection.yaml
new file mode 100644
index 000000000..c7f2df61b
--- /dev/null
+++ b/examples/config/phase/thermal/externalheat_fast-convection.yaml
@@ -0,0 +1,11 @@
+fast-convection:
+  rho: 1
+  thermal:
+    c_p: 1
+    K_11: 1e30
+    K_22: 1e30
+    K_33: 1e30
+    source:
+      - type: externalheat
+        f_T: [1, 1, 0, 0]
+        t_n: [0, 500, 500.001, 1000]