DOI: 10.36347/sjet.2018.v06i05.004

Pages: 176-181

The purpose of the present paper is to obtain an analytical solution of one-dimensional steady heat conduction problem of a cone-cylinder shape cathode of a magnetoplasmadynamic thruster. The exact solution of one-dimensional steady heat conduction is developed to couple conical-cylindrical section of the cathode applying perfect thermal contact conditions. One-end of the cathode is heated whereas the other-end is water cooled. Along the surface of the cathode, heat is transferred from the surface of the cathode to the surrounding air. This analysis of heat transfer is considered a forced convection to the ambient. The analytical solution may easily employ to calculate the temperature distribution and heat flux from the analytical solutions. The exact solution of one-dimensional steady heat conduction can be used to obtain preliminary thermal analysis of the cathode.