1. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Mesh of the solution Figure Legend:

2. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Pipe information and boundary condition for flow through the valve Figure Legend:

3. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Oscillation on flow rate at closing valve process for Δt=0.01min Figure Legend:

4. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Variation of inlet flow rate without considering temporal inertia term in momentum equation Δt=0.01min Figure Legend:

5. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Comparison of the result for impact of convective inertia term and without convective inertia for Δt=0.1min Figure Legend:

6. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Comparison of the result for impact of convective inertia term and without convective inertia for different flow rates and Δt=0.1min Figure Legend:

7. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Temperature comparison for current study and Coulter–Bardon equation Figure Legend:

8. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Temperature boundary condition at Node 1 Figure Legend:

9. Date of download: 6/2/2016 Copyright © ASME. All rights reserved. From: Nonisothermal Transient Flow in Natural Gas Pipeline J. Appl. Mech. 2008;75(3):031018-031018-8. doi:10.1115/1.2840046 Comparison of the result for impact of convective inertia term (isothermal) and nonisothermal condition for Δt=0.1min Figure Legend: